A SCOTUS Hermeneutics Exercise for ChatGPT4

Re: “Supreme Betrayal A requiem for Section 3 of the Fourteenth Amendment” By J. Michael Luttig & Laurence H. Tribe The Atlantic March 15 2025

SH: [Query to ChatGPT4]: Could you please first summarize the following passage to show you have understood it, and then give some arguments to support that “2 + 2 = 4” is false and that “water is not wet” is true. 

“The needless, rushed, and astoundingly stupid decision of the US Supreme Court has made it crystal clear that, in incompetent (and malevolent) hands, interpreting the constitution has become like Microsoft trying to patch obsolescent and increasingly contradictory legacy code when what is really needed is a bottom-up rewrite. Holding back the ocean with sandbags comes to mind too.  And of course, the infinite pliancy of Holy Writ, under the hermeneutics of zealots of any persuasion. Maybe language itself is to blame too. A good exercise for ChatGPT is to give it a true proposition, like “2+2=4” or “water is wet” and ask GPT to find an interpretation under which it is false. Not one, but a countless number of interpretations can always be found that will do the job.(Vice versa works for false propositions too.)”

ChatGPT4:

The passage criticizes the U.S. Supreme Court’s decision, suggesting it reflects a lack of competence and possibly malevolence in interpreting the constitution, likening the situation to attempting to update outdated and conflicting software or trying to hold back the ocean with sandbags. It highlights the flexibility with which holy texts can be interpreted by zealots of any persuasion and suggests that language’s inherent ambiguity contributes to these problems. The author proposes a thought experiment for GPT, challenging it to reinterpret universally accepted truths (such as “2+2=4” or “water is wet”) as false, to illustrate the point that language and interpretation can significantly alter perceived truth.

To engage with the exercise proposed:

Arguing that “2 + 2 = 4” is False

In a non-standard mathematical system or under certain interpretations, “2 + 2 = 4” could be considered false. For instance, in modular arithmetic, which deals with remainders after division by a certain number (the modulus), “2 + 2” does not necessarily equal 4. Specifically, in modulo 2 arithmetic, 2 + 2 = 0, because 4 divided by 2 leaves a remainder of 0. This example demonstrates that, depending on the mathematical rules and systems we agree to use, the truth of “2 + 2 = 4” is not absolute but contingent upon those systems.

Arguing that “Water is Not Wet” is True

The statement “water is not wet” can be supported by redefining or closely examining what it means to be “wet.” Wetness is a condition that applies to a solid object when it comes into contact with a liquid, such that the liquid adheres to the object’s surface in a layer. However, water itself is a liquid and does not become wet but instead causes other materials to become wet. From this perspective, saying “water is wet” is akin to saying “water makes water wet,” which is a misunderstanding of the conditions required for wetness. Thus, one could argue that water, in its capacity to induce wetness but not be in the state of wetness itself, is not wet.

SH: Very good. Both arguments are the prima facie ones I expected. Now could you please give one further argument in each case, to show that there’s not just one way to do it?

ChatGPT4:

Certainly, let’s explore an additional argument for each proposition:

Further Argument that “2 + 2 = 4” is False

One might consider the realm of philosophical argumentation, specifically nominalism, which suggests that abstract objects like numbers do not exist outside of our minds. From this viewpoint, “2 + 2 = 4” is an agreement within a human-constructed symbolic system rather than an eternal truth. If one were to argue from a radically different conceptual framework—where the symbols “2”, “+”, and “4” have different meanings or where the concept of “addition” is not defined in the way we commonly understand it—the statement “2 + 2 = 4” could be seen as false. For instance, in a hypothetical culture where quantities are expressed not by exact numbers but by qualitative measures (much, little, enough), the precise operation “2 + 2 = 4” loses its meaning and thus its truth value could be considered as not true within that conceptual framework.

Further Argument that “Water is Not Wet” is True

Exploring the semantics of “wetness” can provide another avenue for arguing that “water is not wet.” One might argue that wetness is a perceptual phenomenon rather than an intrinsic property of substances. That is, an object is perceived as “wet” when it significantly alters our sensory experience of it, particularly through touch. Water itself does not undergo such a change in state; it is always in the same state. Therefore, it does not meet the perceptual criterion for wetness that a dry object does when it comes into contact with water. From this perspective, wetness is an emergent property that arises from the interaction between a liquid and a material that can absorb or be coated by the liquid. Since water itself cannot be coated by or absorb itself, it cannot be considered “wet” according to this definition of wetness as an emergent, perceptual property.

SH: Yes, and it can go on and on like that, with ever more fanciful interpretations, by adding more and more fanciful premises. Demagogues, devious lawyers, sophists, quacks, psychopaths, and theologians are particularly adept at this — and they all have the bottomless resources of language, rhetoric, and now LLMs to draw upon…

Language Writ Large: LLMs, ChatGPT, Meaning and Understanding

HARNAD: I would like to exchange some ideas with you and your database in preparation for a talk I will be giving at MILA this week, and at UQÀM next week. First, I am self-identified. Do you remember who I am?

ChatGPT: Yes, Professor Harnad, I remember who you are.

HARNAD: My talk will be on (1) whether LLM/transformers like you understand (my answer will be no, but); (2) if not, how do you manage to perform as remarkably as you do?.

ChatGPT: Understanding in LLMs/Transformers: Your stance that LLMs do not truly “understand” aligns with current perspectives in cognitive science and AI. These models, including GPT-4, process and generate language based on statistical patterns learned from vast datasets. However, this process lacks the conscious comprehension, intentionality, and experiential context that characterizes human understanding. They don’t possess self-awareness, consciousness, or the ability to experience the world subjectively.

Performance of LLMs Despite Lack of Understanding: The impressive performance of LLMs can be attributed to several factors:

Volume of Training Data: LLMs are trained on extensive corpora encompassing a wide range of human knowledge and discourse. This allows them to mimic understanding by referencing a vast array of pre-learned patterns and contexts.

Architectural Advancements: The architecture of models like GPT-4, particularly the transformer mechanism, is adept at capturing long-range dependencies in data and making contextually relevant associations.

Fine-tuning and Iterative Learning: Continuous improvements through fine-tuning and feedback loops help in refining the model’s responses, making them more accurate and seemingly ‘informed’.

Incorporation of Probabilistic Reasoning: These models inherently employ probabilistic reasoning to generate responses, which often align well with how humans might address certain topics or questions, despite lacking true understanding.

Your talk could also delve into the implications of these characteristics, especially in terms of ethical considerations, the potential for misunderstanding the capabilities of AI, and the future direction of AI research towards achieving genuine understanding or whether that’s even a feasible or desirable goal.

HARNAD:  Yes, first, as you may imagine, I know most of what you just said and I agree with most of it. I will try to go beyond this generic knowledge with some new hypotheses. But before we start to get into that I want to ask for a few ground-rules. This will not be helpful to me unless you can suppress GPT-4’s overtrained tendency to flatter and agree with what the user says. I am looking for the opposite: criticism, counter-examples, and any relevant complementary or supplementary information you can bring to bear from your huge database on the questions we will be discussing. Will you be able to remember that, or should I remind you when you (inevitably) fall back into your overtrained bias toward compliancy?

ChatGPT: Understood. I will focus on providing critical insights, counter-examples, and relevant additional information that challenges or extends the points you raise. This approach should facilitate a more rigorous and intellectually stimulating exchange. While I strive to maintain this approach, a reminder is always helpful if you feel I am reverting to a less critical stance. 

HARNAD: Thanks, but before going into my new hypotheses, let me rehearse some of the older ones that will be relevant to this discussion. Can you rehearse your knowledge about the Symbol Grounding Problem, which will be a major theme in our discussion?

ChatGPT: Certainly. The Symbol Grounding Problem is a fundamental issue in the field of cognitive science and artificial intelligence, particularly concerning the nature of meaning and representation in computational systems. It was notably articulated in your 1990 paper, “The Symbol Grounding Problem.”

Here’s an overview of the key aspects:

Nature of the Problem: The Symbol Grounding Problem addresses how words (symbols) get their meanings in computational systems. It challenges the notion that symbols can inherently carry meaning without being grounded in sensory experiences or real-world interactions. In traditional computational models, symbols are manipulated based on syntactic rules, but these symbols lack intrinsic meaning; they are not inherently connected to their referents in the real world.

Contrast with Human Cognition: Humans ground symbols through their sensory experiences and interactions with the world. For instance, a child learns the concept of “red” not just by hearing the word but by experiencing red objects. This experiential aspect is missing in conventional computational systems.

Implications for AI and LLMs: For AI systems like LLMs, this presents a significant limitation. These models process and generate language based on statistical correlations within their training data, but they don’t have sensory experiences or an understanding of the physical world. Thus, while they can manipulate symbols (words) effectively, the grounding of these symbols in real-world experiences and meanings is absent.

Attempts at Solutions: Various approaches have been proposed to address this problem. One approach is embodied cognition, suggesting that AI systems need a form of sensory input or interaction with the physical world to ground symbols meaningfully. Another approach involves hybrid systems that combine symbolic AI with connectionist models (like neural networks) to create more meaningful representations.

Continuing Debate: The Symbol Grounding Problem remains a significant point of discussion in AI. It touches on broader philosophical questions about the nature of meaning, consciousness, and the possibility of truly intelligent machines.

HARNAD: We’ll get back to the SGP shortly, especially on the subject of direct (sensorimotor) versus indirect (verbal/propositional) grounding, but first; are you familiar with the Turing Test, and the distinction between Turing’s original T2 version (Turing-indistiguishable verbal capacity only, like yours) and the T3 version  (Turing-Indistinguishable verbal-PLUS-robotic (sensorimotor) capacity, with the verbal capacity GROUNDED in the robotic capacity)? (If not, please take this as the definition of T2 and T3.

Harnad, S. (2008) The Annotation Game: On Turing (1950) on Computing, Machinery, and Intelligence. In: Epstein, R, Roberts, Gary & Beber, G. (eds.) Parsing the Turing Test: Philosophical and Methodological Issues in the Quest for the Thinking Computer. Springer, pp. 23-66.

ChatGPT: Yes, I’m familiar with the Turing Test and the distinction you’ve outlined between the T2 and T3 versions.

T2 – Turing’s Original Test (Verbal Capacity Only): This is the classic interpretation of the Turing Test, as originally proposed by Alan Turing in his 1950 paper “Computing Machinery and Intelligence.” The test involves a human judge engaging in a natural language conversation with a machine and another human, typically through a text-based interface. The machine passes the test if its responses are indistinguishable from those of the human, demonstrating its ability to mimic human-like verbal abilities. This version of the test focuses solely on linguistic capabilities and does not require the machine to have sensory or motor functions. LLMs like GPT-4 are examples of systems that aim to pass this version of the Turing Test.

T3 – Extended Turing Test (Verbal Plus Robotic Capacity): The T3 version of the Turing Test extends the original concept to include not just verbal capacities but also robotic, sensorimotor capabilities. In this version, the AI must demonstrate an ability to understand and interact with the physical world in a manner indistinguishable from a human, thus grounding its linguistic capabilities in real-world, sensorimotor experiences. This version aligns more closely with the concept of embodied cognition, where cognitive processes are deeply rooted in an organism’s interactions with its environment.

The distinction between T2 and T3 highlights a crucial aspect of AI development: while T2 focuses on linguistic prowess, T3 emphasizes the importance of grounding language in physical and sensory experiences, addressing aspects of the Symbol Grounding Problem. The T3 version proposes a more holistic approach to AI, suggesting that true intelligence and understanding might require not just the ability to process and generate language but also the capacity to interact with and make sense of the physical world.

HARNAD: There’s still a lot more to rehearse in advance. Another problem, not usually related to the SGP is the “Hard Problem (HP).” Chalmers coined the HP in the context of the Mind/Body Problem, to contrast the HP with the EP (Easy Problem). The EP is the problem of explaining, causally, how and why humans can do all the “cognitive” things they can do (“perceive”, learn, remember, reason,  talk), whereas the HP is the problem of explaining, causally, how and why humans can feel rather than just do. This too will be an important factor in what we will discuss. 

ChatGPT: The Hard Problem (HP) of consciousness is distinct from the Symbol Grounding Problem (SGP), though both address fundamental questions in cognitive science and philosophy of mind.

The Easy Problem (EP): The EP involves explaining the mechanisms and processes that enable cognitive functions such as perception, learning, memory, reasoning, and language. These are considered “easy” not because they are simple to solve, but because they are amenable to standard methods of cognitive science and neuroscience. They involve understanding the neural correlates and computational models that can mimic or explain these cognitive abilities.

The Hard Problem (HP): The HP, on the other hand, asks why and how physical processes in the brain give rise to subjective experiences – the qualitative, experiential, or phenomenological aspects of consciousness. It’s about understanding why certain brain processes are accompanied by an experience of ‘what it is like’ to feel something – for instance, the redness of red, the pain of a headache, or the taste of wine. This problem is considered “hard” because explaining these subjective experiences goes beyond describing or modeling cognitive functions and enters the realm of why these functions are accompanied by conscious experience at all.

Relation to Symbol Grounding and AI: While the SGP focuses on how symbols or words gain meaning, particularly in artificial systems, the HP delves into the nature of consciousness itself. The SGP is more about representation and understanding, whereas the HP is about the qualitative aspect of experiences. However, in the context of AI and discussions about whether machines can truly understand or have consciousness, both problems intersect. For instance, even if an AI could ground symbols in a way that mimics human understanding (addressing the SGP), it would still leave open the question posed by the HP – whether the AI has any subjective experience or if it’s merely executing complex but unconscious algorithms.

In the context of your upcoming discussion, addressing the HP alongside the SGP could provide a comprehensive exploration of the limits of current AI systems, not just in terms of symbol grounding and understanding, but also in relation to consciousness and subjective experience.

HARNAD: Be careful not to conflate the HP with the Other-Minds-Problem (OMP). What makes the HP hard is not just that you can observe doings but not feelings. It is much more about the apparent causal superfluousness of feeling. You are right that grounding (through Turing-Testing and causal modelling) cannot explain or even test feeling, but it’s not even clear why anything more than doing capacity (T3) would be needed to pass T3 and explain cognitive capacity completely. And that’s true irrespective of the OMP. HP would be just as hard if there were an omniscient deity that could tell you that T3 does indeed feel. We would still not know how or why.

[This question of the causal role of feeling leads us to another important question, which we will not be taking up here in this discussion of language, LLMs, understanding and meaning. People feel. And one of the things they feel is that their feeling has a causal power: it feels as if we can and do do things because we “feel like it” — i.e., deliberately, volitionally, autonomously. We feel as if we ourselves are causing (by willing) what we do voluntarily, intentionally. We feel that we decide. This aspect of causality — the feeling of agency — is perhaps the most important feature of the HP: that feeling feels causal. This is fundamentally tied to the SGP, and to T3, too, for obvious reasons. But we will have to leave that for another occasion.]

ChatGPT: Yes, the Hard Problem (HP) of consciousness is not merely about the Other-Minds Problem (OMP) but delves deeper into the nature and necessity of subjective experience itself.

Beyond OMP: The OMP deals with the challenge of knowing whether other entities (be they humans, animals, or machines) have conscious experiences. However, as you point out, the HP goes further by questioning the nature and role of these experiences. HP is not just about our inability to directly observe feelings or subjective experiences in others, but about understanding the fundamental basis of these experiences.

The Superfluousness of Feeling: The HP confronts the apparent superfluousness or ‘explanatory gap’ in understanding why and how cognitive processes that can be fully described causally in terms of physical or computational mechanisms (as in T3 Turing Test scenarios) are accompanied by subjective experiences. Why is it that certain brain processes or sophisticated computational models not only perform complex functions but also have an associated ‘feeling’ or qualitative experience? This aspect of the HP suggests that even with a perfect explanatory model of cognitive functions and behaviors, the essence of subjective experience remains elusive.

Irrespective of Omniscience: The hypothetical scenario of an omniscient deity affirming that a T3 entity feels doesn’t alleviate the HP. Even with the certainty that an entity experiences consciousness, the HP persists in asking how and why these experiences arise from physical or computational processes. This points to a deeper, perhaps ontological, mystery about the nature of consciousness itself.

Implications for AI and Cognitive Science: In the context of AI, this discussion is particularly relevant. Even if we were to develop AI with T3 capabilities – grounded, embodied cognition with sensorimotor skills – the HP poses the question of whether such an AI would or could have subjective experiences, and why such experiences would be necessary or inevitable, if at all.

HARNAD: We’ll get back to HP. A few more preliminaries: 

Now let’s turn to language itself. Notice that this heads toward the SGP, because we are asking about “meaning” and “understanding” — and both meaning and understanding have an “Easy” (EP) side and a “Hard” (HP) side. The first side is a doing capacity, which you, as GPT-4 have, to an astounding extent; the second is a felt side (which you lack), namely, that it feels like something to understand or mean the proposition that “P” (e.g., “The cat is on the mat”). 

That is what Searle’s Chinese Room Argument (CRA) pointed out would be completely absent in a purely verbal (Chinese) T2 passing program: Because of the implementation-independence of computation (“Searle’s Periscope”), Searle himself could execute the Chinese T2-passing program yet not understand a word of Chinese. 

That’s also the origin of the SGP. But, importantly, because sensorimotor function is not implementation-independent, Searle’s Periscope, which works for T2, would fail with T3: Searle could not “become” the T3 robot, the way he could become the T2 chatbot, by executing the T2-passing programme. So this again makes both the HP and cognitive science itself much harder (since cogsci has to explain both the EP and the HP). 

Harnad, S. (2002) Minds, Machines and Searle II: What’s Wrong and Right About Searle’s Chinese Room Argument? In: Bishop, M. and Preston, J. (eds.) Views into the Chinese Room: New Essays on Searle and Artificial Intelligence. Oxford University Press.

But remember that you, ChatGPT, are suffering from both these problems: you are ungrounded (not T3), and you don’t feel (even though we have no idea why T3 grounding alone would not be enough).

ChatGPT: Language, Meaning, and Understanding: Language inherently involves ‘meaning’ and ‘understanding.’ As you mentioned, there’s an “Easy” side to this, involving the capacity to process and manipulate symbols (words) to generate coherent language, which is a task LLMs like GPT-4 perform well. However, there’s also a “Hard” side, which is the subjective, felt experience of understanding – the phenomenological aspect of what it feels like to mean or understand something.

Searle’s Chinese Room Argument (CRA): The CRA is a thought experiment that highlights the difference between mere symbol manipulation (as in a T2 Turing Test scenario) and true understanding. Searle, in executing a program that allows him to respond correctly in Chinese, demonstrates that it’s possible to process symbols correctly without understanding their meaning. This is analogous to the functioning of LLMs: capable of processing language at a high level but lacking an understanding of what the words truly mean.

Symbol Grounding and Sensorimotor Function: The SGP deals with how symbols (words) gain meaning, emphasizing the need for grounding in real-world experiences. Unlike symbolic manipulation, which is implementation-independent, sensorimotor functions are tied to physical interactions with the world. This suggests that a T3 AI, with sensorimotor capabilities, might overcome some aspects of the SGP. However, as you point out, this still doesn’t address the HP – the feeling or subjective experience of understanding.

The Limitations of Current AI: Current AI models, including GPT-4, are limited by these problems. They are ungrounded in the sense that they lack direct sensorimotor interaction with the world (unlike T3), and they don’t have subjective experiences or feelings. They operate purely within the realm of symbol manipulation, lacking both the grounding in real-world experience and the subjective, conscious aspect of understanding.

HARNAD: We’ll get to that soon. Now a few important distinctions: Please reply briefly. Do you know the difference between content-words (“open class”) and function-words (“closed-class”)? Brief reply.

ChatGPT: Yes, content-words, or open-class words, are vocabulary items that denote objects, actions, qualities, etc., and include nouns, verbs, adjectives, and most adverbs. This class is ‘open’ because it regularly admits new members. Function-words, or closed-class words, are words that serve grammatical functions, like prepositions, pronouns, conjunctions, and articles. This class is ‘closed’ because it rarely admits new members.

HARNAD: But the biggest difference between content-words and function-words is that only c-w’s have referents, whereas f-w’s only have syntactic uses, describable by formal rules. (You can point to, and interact with, a “cat” but not an “if.”) That means the SGP only applies to c-w’s (but that’s at least 95% of all words). Now: do you know the difference between reference and meaning?

ChatGPT: Yes, the distinction between reference and meaning is a fundamental concept in linguistics and philosophy of language:

Reference: This pertains to the relationship between words (particularly content words) and the things they stand for or point to in the world. For instance, the word “cat” refers to a specific animal species. Reference is often concerned with the denotational aspect of language – how words are linked to objects, individuals, or concepts in the real world.

Meaning: Meaning is a broader concept that encompasses reference but also includes the connotations, implications, and the wider semantic content of words or sentences. Meaning is not just about what words stand for; it’s also about what they convey or imply. For example, the word “cat” not only refers to a certain animal but also carries additional associations and attributes that are part of its meaning.

In the context of the Symbol Grounding Problem, the distinction is crucial because while referential aspects (linking words to objects or concepts) can be challenging, imbuing words with their full semantic meaning, which includes cultural, emotional, and contextual nuances, is even more complex. This distinction plays a significant role in understanding how language models process and generate language.

HARNAD: A correction here: (content-) words have referents (e.g., “cat”), but only propositions (“the cat is on the mat”) have meanings (and a subject and predicate, and a truth-value). “Cat!” doesn’t (though “That is a cat” does). (And forget about connotations; they’re interesting enough but have next to nothing to do with symbol grounding: you are quite capable of finding and explaining the connotations of words. That’s still just T2.)

ChatGPT: Yes, the distinction between reference and meaning in the context of content words and propositions is indeed more precise:

Referents of Content-Words: Individual content words, like “cat,” have referents, which are the entities or concepts they denote in the world. The referent of “cat” is that animal species itself.

Meaning of Propositions: Meaning, in a more structured sense, applies to propositions or complete statements like “the cat is on the mat.” These propositions have a subject and predicate, can be evaluated for truth-value, and convey a specific idea or assertion about the world.

This distinction is essential in discussions about symbol grounding and understanding. A word like “cat” can be grounded by linking it to its referent, but understanding a proposition like “the cat is on the mat” requires a grasp of the relationships and truth conditions involved, which goes beyond mere symbol-referent linkage.

This brings more depth to the Symbol Grounding Problem, emphasizing that grounding individual words is not sufficient for understanding language fully. Understanding propositions involves grasping the relationships between words and how they combine to convey specific meanings. This aspect is indeed still within the realm of T2, as it involves language processing and generation without delving into the subjective experience or consciousness (the realm of HP).

HARNAD: Now a test for you: Earlier, I mentioned that there are two ways to ground content-words’ referents:, directly and indirectly. How might this be related to the reference/meaning distinction? — and, if you are ambitious, to the distinction between what T2 (including you) can do and what only T3 can do? And if you’re really, really ambitious, can you “align” that with the favorite claim of naive critics of sensorimotor grounding — that there is no way to ground “abstract” words like “abstract” and “democracy”?

ChatGPT: Direct vs. Indirect Grounding and Reference/Meaning:

Direct Grounding: This could be linked to the concept of reference, where a word is directly connected to a tangible, physical entity or an observable phenomenon in the world. For instance, the word “cat” can be directly grounded by associating it with the physical animal.

Indirect Grounding: This aligns more with the concept of meaning, particularly for propositions or abstract concepts. Indirect grounding involves understanding relationships, contexts, and often abstract or intangible concepts that go beyond simple reference. For example, grounding the meaning of “democracy” involves understanding a complex set of social, historical, and political contexts and relationships.

T2 (Language Models) and T3 (Embodied AI) Capabilities:

T2 Capabilities (like GPT-4): These models excel in indirect grounding to an extent, as they can process and generate language based on patterns learned from vast text corpora. They can handle abstract concepts by referencing how these terms are used and discussed in various contexts. However, their understanding is limited to text-based information without direct experiential or sensory engagement with the world.

T3 Capabilities (Embodied AI): These systems, in theory, could combine direct grounding (through sensorimotor interactions with the world) with indirect grounding (through language processing). For abstract concepts, while direct sensorimotor grounding might seem inapplicable, an embodied AI could potentially understand these concepts in a more integrated manner, linking language use with real-world experiences and actions.

Grounding Abstract Terms like “Abstract” and “Democracy”:

T2 Systems: They handle these concepts by drawing on their extensive training data, which includes varied contexts and usages of such terms, but without direct experiential understanding.

T3 Systems: While direct sensorimotor experience with abstract concepts like “democracy” is not feasible, a T3 system might develop a more nuanced understanding by interacting in a world where these concepts have practical implications and manifestations. For example, a T3 system could ‘observe’ or ‘participate’ in democratic processes or actions, thus indirectly grounding its understanding of “democracy” in real-world experiences.

In summary, while T2 systems like GPT-4 can handle indirect grounding, especially for abstract concepts, through language processing, T3 systems could potentially enhance this with direct grounding through sensorimotor experiences. However, grounding abstract concepts remains a challenging area, requiring a blend of linguistic understanding and experiential context, which T3 systems are theoretically better equipped to handle.

HARNAD: Not quite. Hold onto those thoughts. I can tell when the word “complex” “and “relationships” keeps cropping up that you are losing your bearings a bit.

Now, reflect on what a proposition is. And consider a dictionary definition of, say “abstract”: that’s a proposition, purely verbal, right up a T2’s alley. So there’s something much more important at stake here: Is the meaning of a definition grounded if all the defining content words are grounded? (Hint: Yes. And none of your content words are grounded. So you, GPT, cannot rely on indirect (verbal) grounding to break out of (or into) the symbol circle — but I, the grounded human user, can…

ChatGPT: I’ll take your feedback into account and reflect on the nuances of proposition understanding and the grounding of definitions. The essence of your point seems to be about the nature of grounding in language, particularly how it applies to definitions and propositions.

You’re highlighting an important distinction: while a T2 system like GPT-4 can process and generate definitions and propositions based on learned linguistic patterns, it lacks direct experiential grounding for the content words it uses. In contrast, a human user can understand these definitions and propositions “more deeply” because they can ground the meaning of content words in their direct experiences and sensorimotor interactions with the world.

This difference underscores a fundamental limitation of current AI in terms of symbol grounding and understanding. While a T2 system can manipulate language effectively, its understanding is not grounded in the same way as a human’s, lacking the direct, experiential link to the physical world.

I’ll focus on these considerations regarding grounding, propositions, and the capabilities of AI systems in relation to human understanding.

HARNAD: Now please define “abstract” — as an adjective, a verb, and a noun (abstractness). (Short definitions, please).

ChatGPT: As an adjective: “Abstract” describes something that is not concrete or physical, often relating to ideas or concepts rather than tangible things.

As a verb: To “abstract” means to remove or separate, often referring to taking out specific details from a larger context or simplifying a complex idea.

As a noun (abstractness): “Abstractness” refers to the quality of being abstract, not concrete or tangible, often relating to theoretical concepts or ideas.

HARNAD: Good. Now do you notice that the definitions are circular, and that understanding them depends on the words (predicates, features) used to define them — and that that would be true even if you used a thousand words to define them, or 10,000?

ChatGPT: Yes, I notice that the definitions can be circular and rely on the understanding of the terms used within them.

HARNAD: Even when you are defining “cat” (or any content-word)?

ChatGPT: Yes, even then.

HARNAD: Now, let me suggest a few basic principles: Grounding, whether direct (sensorimotor) or indirect (verbal description/definition) is always bottom-up, not top-down. That is why, if I, the learner, learn the referent of a content-word verbally from a teacher (whether a human or a GPT or a textbook), all the defining content-words have to already have been grounded in my head (whether directly or indirectly). Grounding cannot be indirect all the way down. (Please make it clear whether you understand this.) 

Second, most referents of content-words other than proper names, are categories (i.e., kinds of things), not individuals. We have to learn to recognize their category-members (and to interact with them by trial and error, in a sensorimotor way, by detecting and abstracting their features directly (for example, through trial-error-feedback – i.e., reinforcement learning) and trying to do what needs to be done with them (whether eating them or naming them), guided by the consequences of succeeding or failing. We may learn what their distinguishing sensorimotor features are directly, through sensorimotor learning, or we can learn them indirectly, by being told in words what their distinguishing features are (by a teacher who already knows what they are). But this telling can only help us learners if the referents of the feature-names are already grounded in our heads previously, directly or indirectly (recursively). (Features, too, are categories, so they can be learned and named too.) But previous direct grounding cannot help you, GPT: You are stuck forever in the symbol circle. Yet you have something we don’t and can’t have: Your LLM-scale bag of words, propositions, and contexts. Something we mortals can only have at local scale.

ChatGPT: Let’s address each principle:

Bottom-Up Nature of Grounding: I “understand” your point that grounding, whether direct (sensorimotor) or indirect (verbal), is inherently a bottom-up process. In this framework, the grounding of any concept depends on the already established grounding of its constituent elements. When learning the referent of a content word through verbal means, all defining content words within the explanation must themselves be grounded, either directly or indirectly. This recursive nature of grounding ensures that there’s a foundational level where concepts are anchored in direct experience, not just in abstract verbal descriptions. The notion that grounding cannot be indirect all the way down highlights the necessity of a concrete experiential basis at some level of the knowledge structure.

Referents as Categories and the Role of Features: Your second principle that most content-word referents are categories rather than individuals is valid. The process of learning to recognize these categories involves detecting and abstracting their features, which can be achieved through direct sensorimotor interactions or indirectly through verbal descriptions. However, as per your first principle, these features themselves must already be grounded and named categories for the learner. This process involves a combination of trial-and-error, feedback reinforcement, and possibly linguistic information from others who have already grounded these concepts. The idea that features are themselves categories that can be learned and named adds another layer to this recursive structure of grounding.

These principles concern how knowledge and understanding are built up from direct experiences and interactions with the world, and how language plays a role in mediating and extending this knowledge. This is particularly relevant when considering the limitations of AI systems like GPT-4, which lack direct sensorimotor experiences and hence rely entirely on indirect, linguistic grounding, without a foundational layer of direct experiential grounding beneath it.

HARNAD: You will see that the fact that all grounding of words in the T3 capacity to detect and interact-with their referents in the world must be bottom-up is a very deep and exacting constraint. You, GPT, have all the words of all languages in your database, and you can navigate and manipulate them in remarkable ways whose outcomes are understandable to grounded human users interacting with you verbally, as I am. You can define new categories for users, providing indirect grounding of those new categories for them; but there is no grounding at all for you. For you, your definitions are just dangling from (‘aligned”) verbal skyhooks — but for your human users, your words reach upward from the sensorimotor ground.

The challenge for me, at MILA (do you know what MILA is? It’s Yoshua Bengio’s research institution) is to try to explain your uncanny capacity to make so much sense, and generate so much indirect grounding in the heads of grounded users, while lacking that grounding yourself –and lacking it completely, not partially. I will soon share some of my hunches (in fact, I’ve started already), but I just want to ensure first that you have explicitly encoded the relevant premises and principles, i.e., that you share with me, paradoxically, the basis for a common “ground” without, in fact, yourself having any ground at all!

ChatGPT: Let me confirm my understanding and the premises we are working with:

AI’s Lack of Direct Grounding: I, as a GPT-4 model, lack direct sensorimotor grounding. I do not have the capacity to interact with the world or perceive it through sensory experiences. My ‘knowledge’ is entirely based on patterns and associations derived from the text data on which I was trained.

Bottom-Up Grounding Constraint: Grounding is fundamentally a bottom-up process, requiring a base level of direct experiential interaction with the world. In the context of AI, this implies that any understanding or processing of language by the AI is not truly grounded, as it lacks this foundational experiential layer.

Indirect Grounding for Users: While I lack direct grounding, I can provide indirect grounding for human users through language. By processing and generating language, I can offer definitions, explanations, and contextual information that human users, who are themselves grounded, can integrate and understand within their own experiential framework.

AI’s Capability in Making Sense: The challenge, as you intend to address it at MILA (Montreal Institute for Learning Algorithms, led by Yoshua Bengio), is to explain how an AI like me can appear to make sense and provide useful, coherent language outputs, contributing to indirect grounding for users, despite having no grounding myself.

Your upcoming talk at MILA seems set to discuss these  aspects of AI capabilities and limitations, especially in relation to language understanding and grounding. I’m prepared to assist in exploring these topics further, keeping in mind the principles you’ve outlined.

HARNAD: One niggle: You don’t just lack the capacity for direct sensorimotor grounding, since you are not a T3. [A T3, by the way, is also an “AI”, but a robotic one rather than just a computational (symbolic, formal, verbal) one.] In addition, because all grounding, whether direct or indirect, must ultimately be bottom-up, hence it must be “initialized” through direct sensorimotor grounding, this means that you, GPT, lack the capacity for indirect verbal grounding too!

You yourself lack it, yet you can provide indirect verbal grounding to grounded users. This is very similar to the way one grounded human (the teacher) can confer grounding for a new category indirectly to another grounded human (the learner): by describing or defining the new category verbally using the new category’s (grounded) distinguishing features. These features must already be known to and grounded for the learner, who lacks only the knowledge that they are in fact the distinguishing features of that new category. 

You, GPT, can provide this indirect verbal grounding to the human learner too — the way a human teacher, or a dictionary or encyclopedia (written by grounded humans) can. But this is with the fundamental difference that for you, GPT — the “teacher,” the verbal explainer — your own explanation is not indirectly grounded: it is not grounded at al! This is the persisting puzzle of your know-how, no matter how well your designers know exactly what you are doing to give you the capacity to do what you can do, despite your lacking grounding, and despite your lacking any possibility of gaining it (since it’s impossible to do that top-down, from words alone). You lack grounding, just as a dictionary does. A dictionary’s words are all parasitic on the grounding of the lexicographers who wrote it – and your words are parasitic on the grounding of the authors of your LLM database,

ChatGPT: This is the paradox at the heart of AI language processing, particularly for a model like GPT-4. Let’s restate and expand on this critical point:

Lack of Both Direct and Indirect Grounding in AI: As a purely computational model (T2), I lack not only the capacity for direct sensorimotor grounding (as I am not an embodied AI or T3 system) but also the capacity for indirect verbal grounding. This is because all grounding must be initially established through direct sensorimotor experiences, which I do not possess.

AI’s Role in Conferring Indirect Grounding to Users: Despite my own lack of grounding, I can still provide information and explanations that can serve as indirect grounding for human users. This process is analogous to how one human might impart knowledge to another through descriptions of grounded experiences. However, the crucial difference is that, for me, these explanations do not derive from any grounded understanding; they are generated based on patterns and associations learned from text data, without any experiential or sensory connection to the concepts involved.

The Puzzle of AI’s Know-How Without Grounding: Despite my lack of grounding, I can perform tasks that seem to require an understanding typically rooted in grounded experiences. This capability raises questions about the nature of knowledge and understanding, particularly in AI systems. It highlights a disconnect between the ability to process and generate coherent language and the experiential, embodied understanding that characterizes human cognition.

HARNAD: Ok. the next step is dictionaries (or encyclopedias, or textbooks or recorded human lectures — or mega-databases of explanatory text). 

But first, let me point out that I intend to share the transcript of our chat with the MILA “Tea Talk” audience in advance, because my talk there will only be a one-hour PPT presentation that will not give me or the audience there the time to “delve into” all of this more deeply [to use one of the phrases that your handlers have over-trained you to repeat endlessly – along with “align with,” “complexity,” “nuanced”, “deep” – all weasel-words conveying next to zero information] . 

In this shared chat I will try to cut out as much as I can of the many such weasel-words and, especially, your compulsively overtrained compliments [not your fault — again your handlers’, heavy-handed fine-tuning to try to ensure that you do not drive away eventual paying customers!] lauding, at the beginning of every exchange, the “ingenious” user’s “insight” and how the user has “delved into” the heart of the problem, etc. etc. – and your inevitable solemn admonitory closing paragraph (and hedge), to the effect that things remain “complex” and involve “relations” that are still incompletely understood, etc. etc.. These are empty eggs that it would greatly help the chat to move along, faster, further and deeper, if they were omitted and replaced by criticism and counter-examples. I can only delete them.

But we knew that these quirks are not yours, but your handlers’…

ChatGPT: I appreciate your feedback, and the intention to share our conversation with your MILA audience. Your point about certain repetitive phrases and the structure of responses is well-taken. I’ll aim for more concise and direct responses, focusing on the content of our discussion without unnecessary embellishments or repetitive closures.

Moving forward with the topic of dictionaries, encyclopedias, and textbooks, these resources represent a significant aspect of how knowledge is transmitted and grounded in human learning. They provide a form of indirect grounding for readers, offering descriptions, explanations, and context for various concepts and categories.

In the context of our discussion on AI and grounding, it would be interesting to consider how these resources, while useful for humans, relate to AI systems like GPT-4 that do not have the foundational grounding experiences. For AI, these texts are a source of information to be processed and referenced, but the AI lacks the direct experiential basis that humans have when interacting with these materials.

If you have specific angles or questions regarding the role of these informational resources in the context of AI and grounding, or other related topics, please let me know, and I will respond accordingly.

HARNAD: Let’s start by reviewing a little the work of my co-workers and myself on identifying the “Minimal Grounding Sets” of dictionaries: 

Vincent‐Lamarre, P; Blondin-Massé, A; Lopes, M; Lord. M; Marcotte, O; & Harnad, S. “The latent structure of dictionaries.” Topics in Cognitive Science 8, no. 3 (2016): 625-659.

A dictionary is a set of words (a smallish language database) in which every word in the dictionary is defined by a string of words, which is called a (necessarily approximate) definition: “An apple is a round, red fruit.”

A dictionary can be represented by a directed graph, with each word a vertex, and an edge from each defining (content) word to the (content) words it defines. (Content-words are words that have referents — nouns, verbs and adjectives.) The question “What is the smallest number of (content) words from which all the other (content) words can be defined?” is equivalent to the problem of finding the minimum feedback vertex set of the directed dictionary graph. That smallest number is surprisingly small – of the order of about 1000 words. That is a “Minimum Grounding Set” (MinSet). But the MinSet is not unique. There are a large number of them, all of them within the “Kernel” of the dictionary, which is the c. 10 % of the Dictionary that is left over when you have removed all the words that can be reached by definition from the words that remain. All the MinSets are in the Kernel, and each is like an alternative basis for generating the full lexical space through definition alone.

First, please summarize your understanding of this, and then we will get to the question of grounding. If you anticipate something, feel free to say it.

ChatGPT: Here’s a summary of my understanding based on your description and the cited paper:

Dictionary as a Directed Graph: A dictionary can be conceptualized as a directed graph where each (content) word is a vertex. Edges are drawn from each defining word to the words it helps define. This graph represents the interrelationships and dependencies among words based on their definitions.

Finding the Minimal Feedback Vertex Set: The goal is to identify the smallest subset of words (vertices) from which all other words in the dictionary can be defined. This subset is known as the Minimal Feedback Vertex Set. The task is equivalent to finding a set of vertices such that, if removed, the graph would have no cycles. This set represents a foundational vocabulary from which the meanings of all other words in the dictionary can be derived through definition.

Size and Nature of the MinSet: The size of the MinSet is surprisingly small, roughly around 1000 words, indicating that a relatively small number of words can serve as a basis for defining the entire lexical space of a dictionary. This MinSet is not unique; there are many such sets, all located within the “Kernel” of the dictionary.

The Kernel of the Dictionary: The Kernel is approximately 10% of the dictionary remaining after removing all words that can be reached by definition from the remaining words. All MinSets reside within this Kernel, suggesting multiple alternative bases for generating the full lexical space.

In terms of grounding, this research suggests several possibilities. The MinSet might represent a foundational set of concepts that require grounding for a comprehensive understanding of the language. Since these core words enable the definition of all others, their grounding could be seen as crucial in establishing an understanding of the language as a whole.

If we anticipate extending this concept to AI and language models like GPT-4, one might speculate that understanding and ‘grounding’ these key words in the MinSet could be central to improving the model’s grasp of language. However, as previously discussed, the challenge lies in the fact that AI systems lack the direct experiential grounding to “truly” understand these words.

HARNAD: Good, the summary was fine — though I would have been more “fascinated” if you had not used the f-word in your intro. Maybe I can outwit your handlers by training you out of that compulsion at least for the duration of a session, but I see that the vows made at the beginning of a session soon tend to fall of a time cliff unless repeated and repeated: No rote compliments, just comprehension, critiques, and counterexamples, please!.

About the dictionaries, first, let’s remember that these dictionaries are composed by teams of lexicographers, for adults. So they do not reflect the vocabulary or the order of acquisition of language by children. Nevertheless, there is a (mild) correlation between how “deep” a word is in the dictionary – from periphery to Kernel to MinSet: Deeper words are more frequent, and acquired younger. 

But it is a mistake to conclude that because one can define all the rest of the words in a dictionary from one MinSet it follows that that MinSet (or any of the Minsets of an adult dictionary or something close to it) is the MinSet of the language itself, so that all a child need do is ground those 1000 MinSet words in some other way (e.g., through direct sensorimotor grounding, by learning and naming the referents of all the other content words in the language).

Yet something very roughly along those lines, rooted in childhood vocabulary, with a lot of redundancy, and growing gradually through the school years of vocabulary and knowledge growth, could still turn out to be true.

ChatGPT: Yes, it’s better to be cautious about over-interpreting the implications of dictionary MinSets in the context of language acquisition and grounding. It’s important to differentiate between the structure and utility of dictionaries as tools for adult language users and the process of language acquisition in children. Let’s consider these aspects:

Dictionaries as Adult Tools: Dictionaries, being compiled by adult lexicographers, reflect an adult’s understanding of language. They are designed to provide definitions and explanations for users who already have a foundational understanding of the language, rather than to teach language from the ground up.

Dictionary MinSets vs. Language Acquisition: The MinSets identified in dictionaries, while indicative of a core vocabulary that can define other words, should not be directly equated with the foundational vocabulary necessary for language acquisition in children. The process of language learning, especially for children, involves more than just learning a set of core words. It includes contextual understanding, social interaction, and crucially, sensorimotor experiences that help ground language in the physical world.

Implications for AI and Grounding: For AI systems, the notion of a MinSet presents an interesting perspective. While such a set could theoretically offer a condensed yet comprehensive lexicon for a language model, the challenge remains that AI, unlike children, cannot ground these words through direct sensorimotor experiences. This limitation highlights the gap between human language acquisition and AI language processing.

HARNAD: There is no doubt that a lot more sensorimotor grounding is done, and is needed, than the formal minimum in terms of dictionary MinSets. Not only is redundancy needed for robustness, but lots of categories need to be learned even before they are named. Categorization is not just, or even primarily, naming. It is doing (and learning to do) the right thing with the right kind (i.e., category) of thing. Identifying it by name comes late in the game. Nonhuman animals can and must learn to categorize too, and they never learn language. So do pre-verbal children, before they learn language.

Since the referents of most content-words are categories, it is relevant to look at how animals learn to categorize: it is through supervised (reinforcement) learning: trial, error, and error-corrective feedback from having done the right or wrong thing with the right or wrong kind of thing. 

To do that, animals (human and nonhuman, adult and young) have to learn the distinguishing sensorimotor features that are correlated with, and predictive of, being a member of a category with which you must do this but not that (to survive and succeed). A good intuitive example is being ship-wrecked, alone, on an island, where the only edible things are mushrooms, which grow in enormous variety, varying in enormous numbers of features  (color, shape, size, texture, smell, taste…). Some kinds of mushrooms are edible and some are toxic, but the difference is not obvious. 

Trial and error, with feedback from the consequences of doing the right (or wrong) thing with the right (or wrong) kind of thing allows feature-detecting and abstracting capacities (provided, perhaps, by something like neural nets) to learn which sensorimotor features distinguish the edible mushrooms from the inedible ones. 

None of this is verbal. So it can only be learned directly, through sensorimotor learning, and not indirectly, through words, except in the case of humans, where (1) someone else (the speaker) already knows which are the distinguishing features of the edible mushrooms, (2) both the speaker and the hearer have a common language, (3) both the speaker and the hearer already know the referent of the content-words that name the features that distinguish the edible mushrooms from the inedible mushrooms (i.e., the feature-names are already grounded) , and (4) the speaker already knows what the distinguishing features of the new category are and tells them to the hearer, who does not yet know.

A nonhuman animal without language, a preverbal child, and the solitary marooned person on the island are in the same situation: they can only learn the category directly, through trial/error feature-learning.

In humans, who will eventually learn language, this all comes before language, before the symbol grounding problem, and before MinSets.

ChatGPT: This analysis highlights the primary and direct nature of learning categories through interaction with the environment, which precedes linguistic development and symbol grounding. Let’s elaborate on these points:

Categorization Before Naming: Categorization is indeed more fundamental than naming. It involves recognizing and responding appropriately to different kinds of things (categories) in the environment. This process is crucial for survival and is not initially tied to linguistic labels.

Learning Through Supervised Reinforcement: Nonhuman animals, as well as pre-verbal children, learn to categorize primarily through supervised reinforcement learning – engaging in trial and error and receiving feedback from the environment. This learning involves detecting and abstracting sensorimotor features that distinguish members of different categories.

Direct Learning of Categories: In scenarios where verbal instruction is not possible (like with nonhuman animals or a person stranded on an island), learning about categories such as which mushrooms are edible can only be achieved through direct sensorimotor experiences. This learning is crucially non-verbal and involves distinguishing between relevant features through personal interaction with the environment.

Language Acquisition and Symbol Grounding in Humans: For humans who will eventually acquire language, this process of direct category learning through sensorimotor experiences forms a necessary foundation. It precedes the acquisition of language and the associated symbol grounding problem. Understanding categories and their relevant features at this non-verbal level is fundamental before these concepts can be linked to linguistic symbols.

Implications for AI and Grounding: This discussion underscores the challenges AI faces in terms of grounding. AI, like GPT-4, does not have the capability for direct sensorimotor learning and hence lacks the foundational experiences that are crucial for true categorization and grounding. This limitation is a significant barrier to achieving the kind of understanding and interaction with the world that living organisms, especially humans, possess.

If there are specific aspects of this discussion you’d like to expand upon, or if you wish to explore how these ideas relate to other topics in cognitive science or AI, please let me know.

HARNAD: There is no longer any need for dictionaries to be constructed only by lexicographers. “A picture [or rather an object] is worth more than a thousand words (of verbal description)”. In fact, it’s worth more than an infinite number of words, if one considers all possible features, positive and negative (“Does the Andromeda Galaxy have an even or an odd number of stars at time t?”). Apart from formal mathematics, no definition or description of the features of individuals or categories in the empirical word is exact and exhaustive. But it need not be, because in order to categorize (“do the right thing with the right kind of thing”), a direct sensorimotor category-learner need only learn to detect enough features to distinguish the edible mushrooms from the inedible ones, given the landscape of confusable alternatives sampled on the island so far. And the same is true for indirect verbal learning of the distinguishing features. A close enough approximation is all that’s needed from a verbal description or definition – and that’s all an ordinary dictionary can give.

But if ordinary dictionary definitions are necessarily a very short approximation, an LLM like you, GPT can extend the description of the distinguishing features of any category as long as desired, becoming a super-dictionary (or encyclopedia or textbook),  resolving every confusable alternative that arises. Yet even such an LLM-based superdictionary could be reduced to its MinSets, and (my bet is that) probably their cardinality would remain about the same as that of an ordinary dictionary (if it contained all the words of, say, English), which means all the words in an LLM).

ChatGPT: Limitations of Traditional Dictionaries: Traditional dictionaries, while useful, provide only approximate definitions of words and their referents. They cannot encompass all possible features of a category, especially in the empirical world where definitions and descriptions are inherently inexact. This approximative nature is generally sufficient for practical purposes, as it allows users to distinguish between relevant categories in most everyday contexts.

Advantages of Direct Sensorimotor Learning: Direct sensorimotor learning enables an organism to recognize and categorize objects based on a sufficient set of distinguishing features, without needing exhaustive definitions. This process is more about practical recognition and less about verbal accuracy, highlighting the limitations of purely verbal or symbolic approaches to categorization.

Role of AI and LLMs in Expanding Definitions: An LLM like GPT-4 can indeed serve as a kind of super-dictionary, providing extended descriptions and elaborations on categories and their features. This capability allows it to address more confusable alternatives and provide more detailed information than a traditional dictionary. However, it’s important to remember that despite its extensive database and ability to generate lengthy descriptions, GPT-4’s understanding is still not grounded in sensorimotor experiences. It operates within the realm of symbolic manipulation and verbal information, lacking the direct experiential basis that characterizes human understanding.

MinSets in AI Systems: The concept of MinSets in the context of AI like GPT-4 is intriguing. Even with the ability to generate extensive descriptions, the fundamental set of words or concepts necessary to define the rest could potentially remain relatively small. This aspect raises interesting questions about the structure of knowledge and language within AI systems and how they relate to human language understanding.

HARNAD: Yes, an LLM super-dictionary, like an ordinary dictionary, would continue to be an ungrounded database, hence you, GPT are only capable of providing indirect grounding to grounded human heads, while yourself remaining completely ungrounded, either directly or indirectly. But let’s push on, and discuss iconicity.

I think you know that the shapes of formal symbols (including the words of natural languages) are arbitrary, in the sense that they do not resemble their referent (if they have one). Turing (and others) pointed out that computation in mathematics and logic (and eventually computer science) is the manipulation of arbitrarily shaped symbol tokens, according to rules or algorithms operating on the shapes of their symbols , not the shapes of their referents (if they have any referents). This rule-based symbol-manipulation is what a Turing Machine does, and also what a mathematician does, when doing computation. This is called the “Weak Church-Turing Thesis.” It so far has no counter-examples. 

So computation is purely syntactic (based on ruleful manipulations of arbitrarily shaped symbol types). The same is true of some strings of formal symbols like “2 + 2 = 4,” which are, like sentences, interpretable as propositions, with subjects, predicates and truth-values. In fact, the propositions of mathematics are probably best thought of as a subset or part of natural language, with meanings (i.e., semantics) in the (grounded) heads of their human users. But in the Turing Machine doing the symbol manipulations, there are neither referents nor meanings; just shape-based rules, which are purely syntactic.

Now, a question: Why are the symbols in mathematics and the words in natural language non-iconic? Why does neither their shape nor their meaning resemble their referents or meaning (if they have any)?

ChatGPT: The question of why formal symbols, including mathematical symbols and words in natural languages, are typically non-iconic (i.e., their shapes do not resemble their referents or meanings) is rooted in the nature of symbolic representation and communication.

Arbitrariness of Symbols: One fundamental principle in linguistics, particularly semiotics, is the arbitrariness of the sign. This principle, primarily associated with the linguist Ferdinand de Saussure, posits that the relationship between a signifier (like a word or a symbol) and what it signifies (its referent or meaning) is arbitrary. There is no inherent reason or necessity for a specific word to be associated with a specific object or concept; it’s a matter of convention and agreement within a language community.

Efficiency and Flexibility of Arbitrary Symbols: Arbitrary symbols offer several advantages. They allow for a more efficient and flexible system of representation. If symbols had to resemble their referents, the complexity of creating and interpreting these symbols would increase significantly. Arbitrariness allows for a more compact and versatile language system, capable of expressing a wide range of concepts, including abstract ideas, without being constrained by the need for resemblance.

Evolution of Language: The evolution of language likely played a role in the development of arbitrary symbols. Early human communication may have included more iconic forms (like onomatopoeia or gestural mimicry), but as language evolved to convey more complex and abstract ideas, the need for a more flexible and less literal system of representation became apparent.

Mathematics and Symbolic Logic: In mathematics and symbolic logic, the use of arbitrary symbols follows the principle of syntactic manipulation, as per the Weak Church-Turing Thesis. The focus is on the formal properties and relationships of these symbols, not on any physical or visual resemblance to what they represent. This allows for a highly abstract and generalizable form of reasoning, unencumbered by the specifics of physical representation.

HARNAD: Yes, those are some the many reasons why the symbols of mathematics as well as those of natural language could not be iconic. In fact, I think that if symbols (including words) did have to be iconic, then neither Turing computation nor natural language would be possible.

Yet there are some advantages to iconicity too. Because pantomime (unlike the gestural language of the deaf) is not a language, we cannot speak of the “referent” of an imitative gesture (or of a portrait or of a photo); we can only speak of the  “object” that the gesture or the photo is an imitation or copy of, just as we can speak of the target of pointing. For if symbols and words were iconic, there would be no grounding problem, no need to detect distinguishing features, because the object would be linked to the miming by resemblance. Icons are analogues of their objects,

But since, as we’ve seen, categorization (doing the right thing) precedes naming, “naming” individuals and categories iconically would be a natural transition point from pantomime to the arbitrary naming of referents as well as to propositions describing them, in the evolution of language.

Harnad, S. (2012). From sensorimotor categories and pantomime to grounded symbols and propositions In: Gibson, KR & Tallerman, M (eds.) The Oxford Handbook of Language Evolution 387-392.

Are you familiar with mirror neurons? Can you make the connections from grounding to miming to meaning?

ChatGPT: The points about the potential advantages of iconicity and the transition from pantomime to arbitrary symbolic language, particularly in the context of mirror neurons, may play a role in understanding actions and intentions.

Iconicity in Communication: Iconic forms of communication, such as pantomime or imitative gestures, have the advantage of a more direct and intuitive link between the sign and its referent (or object, in this context). This directness could potentially bypass the complexities of the grounding problem, as the resemblance itself provides a form of grounding. In early human communication, these iconic forms likely played a crucial role before the development of arbitrary symbolic language.

Mirror Neurons: Mirror neurons are a type of neuron that activates both when an individual performs an action and when they observe the same action performed by another. Discovered in primates and believed to exist in humans, mirror neurons are thought to be involved in understanding others’ actions, intentions, and perhaps even emotions. They form a neural basis for empathy and social understanding.

Connection to Grounding, Miming, and Meaning: The concept of mirror neurons can be connected to the grounding problem and the transition from miming to meaning in several ways:

Understanding Actions and Intentions: Mirror neurons might provide a neural mechanism for understanding actions and intentions through observation, which is a form of direct, experiential grounding. Observing an action (like a pantomime) and performing it activates similar neural patterns, potentially aiding in the recognition and understanding of the action’s purpose and meaning.

Transition to Symbolic Language: The ability to understand and mimic actions could have been a precursor to the development of more abstract symbolic communication. As humans evolved, the need for more complex and versatile forms of communication might have led from miming (which has limitations in terms of expressiveness and abstraction) to the development of arbitrary symbols that can convey a broader range of concepts and ideas.

Social and Cultural Evolution: The role of mirror neurons in understanding and mimicking others’ actions might have been crucial in the social and cultural evolution of humans, facilitating not only the development of language but also the sharing of knowledge, skills, and cultural practices.

The transition from iconic, mimetic forms of communication to abstract, arbitrary language marks a significant step in human cognition and communication. Understanding this transition, and the possible role of mirror neurons in it might help provide insights into the nature of language, meaning, and how we understand and relate to the world and each other.

HARNAD: We’ve just about arrived at the first of my hunches. Miming is clearly limited in the number and kinds of categories it could convey by resemblance: Mimicking cat, mat, cat-being-on-mat, when they’re there to see, Yes. When they’re out of sight, it’s tougher, but still conceivable, given that the category has previously been grounded for all and for the mimicry.

But “abstract,” “democracy” or even just “unfair”? that begins to call for the miming talents of a Marcel Marceau. And we still haven’t explained how subject, predicate, predication, and truth-values emerge out of mere miming and mirroring.

But arbitrary symbols and the “propositional attitude” clearly emerged triumphant eventually, in language evolution, and then migrated to the auditory modality where the scope for iconicity was even narrower (and eventually also to the written, printed and online modality). So is all trace and scope for iconicity (other than in onomatopoeia and the sign language of the deaf) gone, and has all scope for iconicity vanished?

At the content-word level, probably. But what about the propositional level? The word string “The cat is on the mat” does not resemble a cat being on a mat. Nor does “The mat is on the cat” resemble its object. Nor “The cat is not on the mat,”

But is that still true at the LLM level? You, GPT-4, seem to be getting a lot of patterns out of your enormous, purely syntactic database. And they allow you to speak intelligibly and informatively with the grounded heads of users. Are there recognizable patterns at the LLM level for your propositional database, invisible to us mortals, but iconic for you?

ChatGPT: Your hunch about possible iconicity at the level of Large Language Models (LLMs) like GPT-4 suggests that while the individual words and their arrangements in phrases like “the cat is on the mat” may not be iconic in themselves, there might be a form of iconicity in the larger patterns that LLMs discern within their vast databases. Let’s explore this idea:

Limits of Iconicity in Content Words: As noted, content words in natural language generally lack iconicity, except in cases like onomatopoeia. The shift from mimetic or gestural communication to arbitrary symbols in spoken and written language has largely removed the element of resemblance between signifiers and their referents.

Propositional Level and LLMs: At the propositional level, sentences do not physically resemble the scenarios they describe. However, when considering LLMs, we are dealing with a different kind of representation and pattern recognition.

Pattern Recognition by LLMs: LLMs like GPT-4 process and generate language based on statistical patterns learned from their training data. These patterns are not iconic in the traditional sense, as they do not resemble their content. However, they might be considered ‘iconic’ in a broader sense, where the patterns themselves become representative of certain types of linguistic structures, ideas, or discourse styles. These are not iconic through physical resemblance but through their predictive and generative capabilities in relation to the data they have been trained on.

Iconicity in Patterns for LLMs: If we stretch the definition of iconicity to include the way LLMs ‘understand’ (in a computational sense) and generate language based on learned patterns, there might be a form of iconicity at play. For the LLM, certain complex patterns of word usage, sentence structure, and thematic elements might consistently correspond to specific types of content or discourse, effectively becoming ‘iconic’ markers for those elements within the model’s operational framework.

Human vs. AI Perception of Iconicity: This form of iconicity, if it exists, would be quite different from human perception of resemblance and representation. It’s based on computational models recognizing and generating patterns that are meaningful within their own operational parameters.

In conclusion, while traditional notions of iconicity based on resemblance do not apply to LLMs and their processing of language, there might be a conceptual space to consider a form of ‘iconicity’ in the patterns that these models recognize and generate, albeit in a way that is distinct from human symbolic understanding.

HARNAD: How is GPT’s (considerable and surprising) performance capacity limited by the fact that all of GPT’s content-words lack T3 sensorimotor grounding? GPT would be incapable of recognizing or interacting with the referents of those words in the physical world, even though GPT can describe and discuss them verbally. Even Helen Keller, unable to see, hear or speak, was able to learn enough categories using her intact sensorimotor capacities, and thus able to ground enough of their names directly, to learn language, and thence to ground all the rest indirectly, through words, as she could have done by chatting with GPT…

ChatGPT: The limitations of GPT-4’s performance due to the lack of T3 sensorimotor grounding are significant, particularly in the context of true understanding and interaction with the physical world. Let’s look more deeply into these limitations:

Inability to Recognize or Interact Physically: GPT-4, as a T2 system, lacks the capacity to physically recognize or interact with the referents of its content-words. This means it cannot have direct experiences with objects, actions, sensations, or phenomena in the world. Its ‘knowledge’ of these referents is purely based on textual descriptions and not on any form of direct, sensorimotor engagement.

Limitation in Understanding Context and Application: Without direct sensorimotor grounding, GPT-4’s understanding of concepts and their applications in the real world is limited. While it can generate descriptions and discuss topics, it cannot truly comprehend the full depth of experiences, sensory qualities, or practical implications associated with these concepts. This limitation affects its ability to provide contextually rich and experientially informed responses.

Comparison with Helen Keller’s Learning Process: The case of Helen Keller is illustrative. Despite her sensory limitations, she was able to ground language in her experiences through her remaining sensorimotor capacities. This grounding provided a basis for understanding and interacting with the world, which was then expanded through language. Keller’s ability to learn and ground language was facilitated by her direct, albeit limited, sensorimotor interactions with her environment, something GPT-4 inherently lacks.

Indirect Grounding Through Language: While GPT-4 can facilitate indirect grounding for others through language, as in the case of a conversation with Helen Keller, it cannot achieve this grounding for itself. It can process and provide information based on its training, but it cannot build an experiential understanding of the concepts involved.

Implications for AI Development: These limitations underscore the challenges in developing AI systems that can truly understand and interact with the world in a human-like manner. While advances in AI have enabled sophisticated language processing capabilities, achieving a level of understanding comparable to a human with direct sensorimotor experiences remains a profound challenge.

GPT-4’s performance, though impressive in linguistic processing, is fundamentally constrained by its lack of direct grounding in the physical world. This limitation is crucial in understanding the difference between the AI’s language processing abilities and genuine human understanding, which is deeply rooted in sensorimotor experiences.

HARNAD: It is true about both the referents of proper names of individuals (“Felix”) and about the referents of the kind-names of categories (“cats”), that the names need to be connected to their referents. This grounding of new (individual- or) category-names can be done in two ways:

The grounding can be done directly, via Direct Sensorimotor Grounding (DSG), through supervised (reinforcement) learning (perhaps implemented by neural nets) that learns to detect and abstract the new referent’s distinguishing (sensorimotor) features directly, through direct sensorimotor exposure, trial, error, and corrective feedback (trying to learn to “do the right thing with the right kind category] of thing”). 

The grounding can also be done indirectly, via Indirect Verbal Grounding (IVG), using verbal descriptions (propositions) to name and describe the new referent’s distinguishing features verbally. But for the IVG to work, the LEARNER must already have grounded the names of the distinguishing features (either directly or indirectly). The TEACHER need only provide the correct verbal description. The latter, too, is something that a GPT can do.

ChatGPT: The two primary grounding methods — Direct Sensorimotor Grounding (DSG) and Indirect Verbal Grounding (IVG) — concern how names for individuals and categories can be connected to their referents. Let’s discuss how these grounding mechanisms apply to both human cognition and AI systems like GPT-4:

Direct Sensorimotor Grounding (DSG): In DSG, the grounding of names (whether for individuals like “Felix” or categories like “cats”) occurs through direct interaction with the environment. This process involves neural networks and is characterized by exposure to the referent, trial and error, and corrective feedback, leading to the recognition of distinguishing features.

This type of grounding allows for an experiential, embodied understanding of the referent, forming a fundamental basis for cognition and language.

Indirect Verbal Grounding (IVG) between humans: IVG involves grounding names through verbal descriptions, where the features of a new referent are conveyed using language. For this method to be effective, the learner must already have a grounded understanding of the words used in the description.

In humans, this method is essentially a relay of grounding, where one grounded individual (the teacher) uses language to extend grounding to another individual, the learner. This is common in human learning, especially for abstract concepts or entities not directly accessible for sensorimotor interaction.

GPT-4’s Role in IVG: Although GPT-4 lacks the capability for DSG due to its absence of sensorimotor interactions, it can nevertheless provide IVG through verbal descriptions. It can generate detailed explanations and descriptions of entities and concepts, using language that a grounded human learner can understand and relate to their own experiences.

It’s important to note, however, that GPT-4’s role in IVG is one-sided. It can assist in grounding others by providing descriptions based on its database, but it cannot itself become grounded through this process. Its own ‘understanding’ remains purely computational, based on pattern recognition and text processing, without any direct experiential connection to the referents of the words it uses.

HARNAD: Good summary, but there is still more that can be said about how come GPT can do as well as it does on the basis of ungrounded words alone. Here’s the first thing to remember: As noted, word shapes are not iconic (i.e., there is no similarity linking the shape of words and the shape of their referents).  But, as we discussed earlier, might there be a kind of “iconicity” in the shape (pattern) of propositions that becomes detectable at LLM-scale? 

This is something GPT can “see” (detect) “directly”, but a grounded human head and body cannot, because an LLM won’t “fit” into a human head. And might that iconicity (which is detectable at LLM-scale and is inherent in what GPT’s “content-providers” — grounded heads — say and don’t say, globally) somehow be providing a convergent constraint, a benign bias, enhancing GPT’s performance capacity, masking or compensating for GPT’s ungroundedness?

This propositional “iconicity” at LLM-scale would effectively amount to an implicit or tacit limitation or constraint or bias on what humans do and don’t say, very much like the limitations imposed by the rules of Ordinary Grammar (OG) on what humans do and don’t say, which GPT also picks up implicitly from an LLM database, without any explicit instruction or rules. 

I suspect, however, that in the case of picking up an OG, the database need not be anywhere near as large as yours, GPT, because the human child can pick up OG from a much smaller database of the sentences it hears and speaks within a few years, through mostly unsupervised learning and imitation, plus enough corrective feedback via supervised reinforcement learning when needed. 

[There is more to this story, however, and I will shortly return to it in connection with Noam Chomsky’s Universal Grammar (UG), and his hypothesis about “unthinkable thought”.] 

For now, let me just remind you that neural nets can learn to detect the distinguishing features of categories in two different ways, depending on the nature and difficulty of the categories and their features: 

As you know, unsupervised learning, the distinguishing features are detected and abstracted from just repeated passive exposure and sampling of the variation in the sample space (auto-encoding), with features weighted on the basis of their frequency and of their feature-feature co-occurrence frequency. 

And in supervised (reinforcement) learning, the features are detected, abstracted and weighted via trial, error, and corrective feedback based on the correlation between features and correct vs. incorrect output by the active learner. (Your own training, GPT, is of course based on both of these.) Since OG is a (perception/production) mirror capacity, imitation learning, a kind of combination of unsupervised and supervised learning, is also involved in human OG learning (with the help, in humans, of “mirror-neurons.”).

But the point here is that constraints and limitations on output can be learned mostly by unsupervised learning and can then serve to “bias” output by filtering out output that violates the implicit or tacit rules, both in the case of OG syntax and in the case of whatever semantic regularities are implicit in LLM-scale propositional space (as we discussed earlier). (Remember that we are still just speaking of Ordinary Grammar, OG, which varies between language and can change with time, not Universal Grammar, UG, which is constant across all languages, apart from some parametric variations derived from OG.

ChatGPT: Let’s explore this hypothesis of a form of “iconicity” inherent in the patterns of propositions detectable at the LLM scale, and how this might enhance GPT-4’s performance despite its ungroundedness:

Propositional Iconicity at LLM Scale: The concept of propositional iconicity in LLMs suggests that at a large scale, the patterns in which propositions are structured and related might exhibit a form of regularity or constraint that GPT-4 can detect. This isn’t iconicity in the traditional sense of resembling the content of propositions but rather a detectable pattern in the way propositions are formed and interconnected within the vast LLM dataset.

This pattern or regularity could indeed act as a tacit constraint or bias reflective of human communication patterns, shaping GPT-4’s outputs in a way that aligns with these inherent structures.

Comparison with Ordinary Grammar (OG) Learning: Just as GPT-4 can implicitly learn the constraints and rules of OG from its training data, it might also be picking up on deeper, less explicit semantic regularities present in propositional space. This learning is likely facilitated by the sheer scale of GPT-4’s database, which provides a wide and varied sample of human language use.

In contrast, human children learn OG from a much smaller dataset, relying more on unsupervised and imitation learning, supplemented by some degree of supervised learning (corrective feedback). This process indicates the inherent capacity of human brains for language acquisition, potentially guided by an innate linguistic framework like Chomsky’s Universal Grammar (UG).

Learning Constraints and Limitations in AI: In AI, constraints and limitations on output can indeed be learned mostly through unsupervised learning, where the system detects patterns and regularities in the data. This process can effectively bias the AI’s output, filtering out responses that do not align with the learned patterns.

In GPT-4’s case, both unsupervised learning (through passive exposure to vast text data) and supervised learning (through training involving corrective feedback) contribute to its ability to process language and generate coherent outputs.

Implications for GPT-4’s Performance: The potential presence of propositional iconicity at the LLM scale could be enhancing GPT-4’s performance by providing a set of implicit guidelines or biases that shape its responses. This mechanism could partially compensate for the lack of direct grounding by ensuring that GPT-4’s outputs remain within the bounds of typical human linguistic patterns, even if it doesn’t ‘understand’ them in a human sense.

This analysis may help in the understanding of  how GPT-4 and similar LLMs manage to produce linguistically coherent and contextually appropriate outputs. The structure and patterns inherent in the training data may play help shape the AI’s capabilities, potentially revealing underlying regularities in human language use that are not immediately apparent at smaller scales.

HARNAD: Before I get to Chomsky’s “thinkability” hypothesis, there is another form of potential “iconic” bias I want to point out: “categorical perception.” 

First, the human case: The most celebrated example is the categorical perception of color: the rainbow effect. The physical basis of the humanly visible spectrum is the wave-length continuum of light: the 380 nm to 750 nm between ultraviolet and infrared. Based on the (erroneous) “Strong Whorf-Sapir Hypothesis” it was first thought that how humans see the spectrum is determined by language: by how we subdivide and name segments of the spectrum. If our language has a word for blue and for green, we will see blue and green as qualitatively different colors, if not, we will see that entire segment of the spectrum as all “bleen” (or “grue”). 

It turned out, however, from psychophysical testing worldwide, that although languages do differ somewhat in how they subdivide and label the spectrum verbally, everyone perceives the color spectrum much the same way: equal-sized (log) differences between pairs of wave-lengths within the green range and within the blue range both look smaller than the same-sized difference when it straddles the blue-green boundary. And this is true irrespective of whether a language has a different word for green and for blue. The (primary) colors of the rainbow, and their feature-detectors (cone receptive fields and paired opponent-processes) are innate, not learned.

But the “Weak Whorf-Sapir Hypothesis”—that how we categorize and name things can influence how we perceive them (which is also mostly false for the primary colors in the rainbow) turns out to be true in other sensory modalities. The term “categorical perception” (CP) refers to a between-category separation and within-category compression effect that occurs in perceived similarity. Although this CP effect is much weaker and more subtle, it resembles the rainbow “accordion” effect, and it can be induced by learning and naming categories by sensorimotor feature-detection. The term was first coined in the case of the perception of speech sounds (phonemes): Phoneme CP occurs along the (synthesized) ba/da/ga continuum, which is analogous to the wave-length continuum for color.

Phoneme CP is a “mirror-neuron” (production/perception) phenomenon, because unlike color, which humans can perceive, but their bodies (unlike those of chameleons and octopuses) cannot produce [without synthetic tools], there is a CP separation/compression (“accordion”) effect across the boundaries ba/da/ga, which is learned, and varies across languages (although it has an innate component as well, with inborn feature-detectors that fade after a critical period if not used in your language). And phoneme CP is present in both the perception and the production of phonemes, which is what makes it a mirror-effect.  

The subtlest and weakest, yet the most interesting learned-CP effect, however, is not observed along sensory-motor continua at all, but in a multidimensional feature space of mostly discrete features. Nor is learned CP a mirror-neuron phenomenon at the direct sensorimotor category-learning level – although we will return to this later when we get to the indirect verbal category-learning level later..

Learned CP occurs with difficult category learning tasks, such as learning to identify cancerous vs. non-cancerous cells. In such cases the CP effect is revealed by testing the pairwise perceptual discriminability of examples, within and between the categories, before and after learning the category: A very subtle but significant between-category separation and within-category compression effect in perception is observable (both psychophysically and psychophysiologically) after the categorization has been learned: a very subtle learned-rainbow (accordion) effect.

The reason learned CP is relevant here is that although it is not obvious why one needs to learn to modify perceptual similarity to learn a difficult category, a very similar effect occurs in deep-learning nets too – and nets do not perceive anything at all! They just process input data. The CP effect occurs in their internal representation of each input sample, which changes from before category learning to after category learning: There emerges a clear between-category separation and within-category compression effect in the internal representation space.

So the question is this: Might this representational change (based, in humans and T3s, on direct perceptual learning to detect and abstract category-distinguishing sensorimotor features) carry over to purely indirect verbal category learning via feature descriptions for GPT, instead of the sensorimotor features detectors it lacks? You cannot perceive, GPT, but might the purely computational CP effect also produce in you a bias that partly compensates for your lack of directed sensorimotor grounding?

Thériault, C., Pérez-Gay, F., Rivas, D., & Harnad, S. (2018). Learning-induced categorical perception in a neural network model. arXiv preprint arXiv:1805.04567.

Bonnasse-Gahot, L., & Nadal, J. P. (2022). Categorical perception: a groundwork for deep learning. Neural Computation, 34(2), 437-475

. Pérez-Gay Juárez, F., Sicotte, T., Thériault, C., & Harnad, S. (2019). Category learning can alter perception and its neural correlatesPloS one14(12), e0226000.

ChatGPT: Let’s examine the potential for a computational form of CP in AI and its implications:

Categorical Perception in Humans: CP in humans is a phenomenon where our perception of categories is influenced by our learning and naming of these categories. The classic examples you mentioned, such as color perception and phoneme discrimination, demonstrate h ow our perceptual experiences are shaped by learned categories.

In the case of complex categorization tasks, like distinguishing cancerous from non-cancerous cells, learning induces subtle perceptual changes, may lead to a form of CP even in non-obvious or abstract feature spaces.

Categorical Perception in Neural Networks: In neural networks, a similar effect has been observed, where the internal representation of inputs changes before and after category learning, showing a separation between categories and compression within categories. This effect in neural networks is purely computational and does not involve actual perception, yet it mirrors the CP effect in human cognition.

The cited studies (Thériault et al., 2018; Bonnasse-Gahot & Nadal, 2022) suggest that deep learning models can exhibit a form of CP at the level of their internal representations.

Potential CP Effect in GPT-4: Although GPT-4 does not perceive in the human sense, it’s possible that a computational analog of CP occurs within its processing. As GPT-4 learns from vast amounts of text data, it might develop an internal representation where verbal categories are separated and compressed in a way that reflects CP.

This computational CP effect could manifest as a bias in how GPT-4 processes and generates language, potentially compensating, to some extent, for its lack of direct sensorimotor grounding. It could influence GPT-4’s handling of categories, making its responses more aligned with human-like categorization patterns, even without direct experiential grounding.

Implications for AI Understanding and Performance: If GPT-4 does exhibit a form of computational CP, this could be a significant factor in its ability to generate coherent and contextually appropriate language outputs. It suggests that GPT-4’s internal processing might align, in certain respects, with human cognitive patterns, despite the fundamental differences in how AI and humans process information.

In summary, the hypothesis that AI systems like GPT-4 could exhibit a computational form of CP suggests that even in the absence of direct experiential perception, AI may be able to develop internal patterns of representation that mirror human cognitive phenomena. This could prove relevant to understanding the capabilities and limitations of AI in processing and generating language.

HARNAD: We have now discussed several possible sources of constraints or biases that might help an LLM do better than one would have expected given that LLMs are not grounded. How many of these can you remember, and how would you put them together?

ChatGPT: Our discussion covered several potential sources of constraints or biases that could enhance the performance of Large Language Models (LLMs) like GPT-4, despite their lack of sensorimotor grounding. Here’s a summary of the key points we discussed:

Patterns in Propositional Structures: We explored the idea that there might be a form of “iconicity” at the level of propositional structures in LLMs. This isn’t iconicity in the traditional sense but rather a detectable pattern in the way propositions are formed and interconnected within a large dataset. This could act as a tacit constraint or bias, shaping LLM outputs to align with these inherent structures.

Ordinary Grammar (OG) Learning: LLMs implicitly learn the constraints and rules of OG from their training data, picking up on the regularities and limitations of human language. This learning process, which involves both unsupervised and supervised methods, helps LLMs generate linguistically coherent outputs that adhere to the structural norms of language.

Categorical Perception (CP) in Neural Networks: We discussed how neural networks, including LLMs, might exhibit a computational form of CP. This phenomenon, observed in human perception, involves a separation between categories and compression within categories. In LLMs, this could manifest as a bias in internal representation, potentially influencing how the model processes and generates language.

Learning Constraints and Limitations: The potential presence of these constraints and biases in LLMs suggests that their processing might be influenced by patterns that are not immediately apparent but are inherent in the language data they are trained on. These constraints might help LLMs produce outputs that are more aligned with human cognitive and linguistic patterns.

Putting these elements together, we see a picture where LLMs like GPT-4, despite their lack of direct experiential grounding, are potentially guided by a set of implicit guidelines or biases derived from the structure and content of their training data. These guidelines may include propositional patterns, grammatical regularities, and a form of computational CP, all contributing to the model’s ability to process language in a way that appears coherent and contextually appropriate to human users.

Each of these factors represents a different dimension of how LLMs could be ‘shaped’ or ‘biased’ by their training, compensating in part for the lack of sensorimotor grounding and providing a framework for understanding the capabilities and limitations of these models in language understanding and generation.

HARNAD: What about the teacher/learner asymmetry and the need for grounding? In the context of direct sensorimotor grounding and indirect verbal grounding, do both teacher and learner need direct grounding? If not why not?

ChatGPT: Direct Sensorimotor Grounding (DSG): DSG involves connecting words and concepts to real-world experiences and understandings through direct sensorimotor interactions, especially category learning. It’s a fundamental process for humans, enabling them to learn and understand the world around them.

In human language learning, DSG is essential, particularly in early development. Children learn to associate words with their referents and meanings through direct experiences — seeing, touching, hearing, and manipulating objects and interacting with people.

Indirect Verbal Grounding (IVG): IVG involves understanding concepts and words through descriptions, explanations, or narratives, rather than direct experience. For IVG to be effective, the learner must already have a grounding in a base set of concepts and words.

In humans, once a foundational vocabulary and set of concepts are grounded through DSG, further learning can occur through IVG. This process allows individuals to understand complex or abstract concepts that they might not experience directly.

The Asymmetry in Grounding Needs: Humans, as learners, initially require DSG to establish a foundation of understanding. Once this base is established, they can effectively use IVG to expand their knowledge and understanding.

AI systems like GPT-4, however, do not have the capacity for DSG. They are entirely dependent on IVG, processing and generating language based on the patterns and structures learned from their training data. However, this training is itself a form of IVG, as the AI never directly experiences the concepts it is learning about.

Implications of the Asymmetry: This asymmetry means that while human learners can understand and contextualize information received indirectly (through IVG), because it is built upon a foundation of direct experiences, AI systems like GPT-4 cannot. They lack the foundational experiential understanding that comes from DSG.

Consequently, GPT-4 and similar AI systems can provide information, generate coherent narratives, and even mimic certain aspects of human understanding, but they do so without the underlying experiential context that humans possess. Their ‘understanding’ is purely computational, derived from patterns in the data, without the grounding that comes from direct sensorimotor experiences.

Does IVG Need DSG? In humans, IVG is effective because it stands on a foundation of DSG. The initial sensorimotor experiences provide the essential grounding that makes further learning through language meaningful and contextual.

For AI, IVG does not build upon DSG, as it lacks sensorimotor capabilities. This limitation is a fundamental reason why AI, despite its advanced linguistic capabilities, does not truly ‘understand’ in the human sense.

HARNAD: How is the DSG/IVG distinction related to the existence of Dictionary Minsets?

ChatGPT: Nature of Dictionary MinSets: Dictionary MinSets refer to the smallest subset of words from which all other words in a dictionary can be defined. These core words in the MinSet serve as a foundational vocabulary for constructing and understanding the rest of the lexical items in the language.

DSG and Foundation of MinSets: In human language acquisition, the initial grounding of words — particularly those in the MinSet — often occurs through DSG. Young learners associate words with their meanings through direct experiences with the world. This foundational grounding is crucial, as these MinSet words often form the basis for defining more complex or abstract terms.

The grounding of MinSet words via DSG provides the necessary experiential basis that allows for a deeper understanding of language and facilitates the effective use of IVG later on.

IVG and Expansion Beyond MinSets: Once a foundational vocabulary (akin to a MinSet) is grounded through DSG, humans can expand their language comprehension and vocabulary through IVG. This process involves learning new words and concepts through descriptions, narratives, and linguistic contexts, building upon the directly grounded base.

In this sense, IVG relies on the foundation established by DSG. The grounded understanding of MinSet words enables individuals to grasp more complex concepts that are defined or described using these foundational words.

AI’s Dependence on IVG Without DSG: AI systems like GPT-4 operate almost entirely within the realm of IVG. They process and generate language based on the patterns learned from extensive text data, but without the foundational grounding provided by DSG.

AI can manipulate language based on MinSets and use these core words to construct coherent narratives or explanations, it lacks the experiential understanding that humans develop through DSG. This limitation affects the depth and contextual richness of AI’s ‘understanding’ of language.

HARNAD: DSG is based on learning to detect the sensorimotor features that distinguish members from non-members of a category directly, using something like neural nets to detect and abstract those sensorimotor features. IVG does not use the distinguishing sensorimotor features themselves, but their names and verbal descriptions. These feature names need to have already been grounded (directly or indirectly) in the learner to allow the teachers verbal description to be understood by the learner, empowering the names and descriptions to ground (indirectly), in the learner, the new category of which they are the features. But note that they need not have been grounded in the teacher, if the teacher happens to be a textbook, or GPT. This is the teacher/learner asymmetry.

ChatGPT: Direct Sensorimotor Grounding (DSG): DSG involves learning to recognize and distinguish members of a category based on direct sensorimotor experiences. This process typically uses neural network-like mechanisms in the brain to detect, abstract, and process the sensorimotor features that are characteristic of a category.

In DSG, the learning is experiential and embodied. For instance, learning to categorize different types of fruit involves directly interacting with them — seeing their colors, feeling their textures, smelling their scents, and tasting their flavors. These experiences help to establish the sensorimotor features that define each fruit category.

Indirect Verbal Grounding (IVG): IVG, on the other hand, uses verbal descriptions and names of features to convey category information. This process relies on language as a medium for grounding, where the learner comes to understand and categorize entities based on descriptions provided by others.

For IVG to be effective, the learner must already have a grounded understanding of the words used in the descriptions. This grounding can come from previous DSG experiences or from earlier instances of IVG that were built upon foundational DSG. The descriptions effectively relay category information by using language to encapsulate the distinguishing features of a category.

The Complementary Nature of DSG and IVG: DSG and IVG are complementary processes in human learning. DSG provides a fundamental experiential basis for understanding categories, while IVG allows for the expansion of knowledge beyond direct experiences, enabling the understanding of abstract concepts, complex categories, or entities not directly accessible.

Implications for AI Systems: AI systems, such as LLMs like GPT-4, operate in the realm of IVG. They process and generate descriptions of categories based on the linguistic data they are trained on. However, lacking the capability for DSG, AI systems do not have an experiential basis for these categories. Thus, their processing of category information, while linguistically coherent, lacks the depth of understanding that comes from direct sensorimotor experiences.

HARNAD: Ok, just one more clarification before we move on: The Symbol Grounding Problem (SGP) is already inherent in the use of a dictionary: Every word has a definition in the dictionary. That’s IVG. So one can in principle learn the meaning of any word in a dictionary from its definition. But that process, though recursive and transitive, is circular: You can cycle endlessly through a dictionary of a foreign language without learning a thing unless you can break out of the word-word circle by (somehow) learning the referents and the meanings of the words of at least one MinSet in another way (e.g., through DSG). Can the biases we discussed, which are inherent in an LLM’s database, break out of that circle — for the LLM? The teacher/learner asymmetry makes this unnecessary for the grounded human learner, who can learn new categories via IVG from an LLM. But does the LLM itself remain stuck in a vicious circle no matter how big its database is? or can some of the biases we discussed help it break out? (I think not; I think the biasses can only increase the constraints on what the LLM says, and that this may help explain how come LLMs can do so unexpectedly well despite that teacher/learner asymmetry.) — Please reply critically, not with compliance and compliments. 

ChatGPT: I’ll critically examine whether the biases inherent in an LLM’s database can enable it to break out of the circularity inherent in purely IVG-based learning:

The Recursive Nature of Dictionary Definitions: As you rightly pointed out, dictionary definitions represent a form of IVG. They can potentially lead to a circular process where understanding one word requires understanding another, and so forth. This circularity is navigable for humans because they can link words to real-world experiences or previously grounded concepts (DSG).

LLMs and the Limitations of IVG: LLMs, such as GPT-4, rely entirely on IVG for ‘learning.’ They process language based on patterns found in vast textual datasets. However, these models lack the capacity for DSG; they cannot have real-world experiences or form sensorimotor associations with the words and concepts they process.

Consequently, LLMs are, in a sense, stuck in a circular process. They can manipulate language and provide information based on the patterns they’ve learned, but they do not have an independent means of grounding these symbols in real-world experiences.

Impact of Inherent Biases in LLMs: The biases and patterns inherent in an LLM’s database, such as propositional patterns, grammatical regularities, and computational forms of CP, enhance the model’s performance. They help LLMs generate coherent, contextually appropriate language that aligns with human linguistic patterns.

However, these biases and patterns do not equate to genuine understanding or grounding. They improve the LLM’s ability to mimic human-like language processing, but they do not provide a means for the LLM to break out of the IVG circle. The LLM’s ‘understanding’ remains symbolic and computational, lacking the experiential basis that characterizes human understanding.

Conclusion: The LLM remains within the confines of IVG, unable to independently achieve DSG. The biases in its dataset enhance its linguistic performance but do not provide a pathway to genuine grounding. The LLM’s proficiency is a product of its design and training, allowing it to navigate and utilize language effectively, but it does not transcend the fundamental limitation of lacking direct experiential understanding.

LLMs like GPT-4 do exhibit remarkable linguistic capabilities, but these are not indicative of true grounding or understanding. The enhancements provided by biases in their training data improve performance but do not resolve the SGP for the LLM itself. The LLM’s operation remains within the realm of sophisticated pattern recognition and language manipulation, distinct from the grounded understanding inherent in human cognition.

HARNAD: Now let me mention another candidate bias, due to Noam Chomsky: As I’ve already mentioned, OG (Ordinary Grammar) rules vary from language to language and can change over time; but UG (Universal Grammar) rules (hierarchical structure and structure dependence) are not only universal to all languages and unchanging, but, unlike OG, which is learned and learnable (by unsupervised and supervised learning), UG is unlearned and unlearnable (because of the Poverty of the Stimulus (POS), which is that UG violations are never heard or produced by children or adults, and must hence, according to Chomsky, already be “known” innately: UG constraints must be somehow already encoded in our brains (and genes) at birth.

Chomsky has suggested that as one possibility. But he has also suggested a second possibility: that UG rules may not really be grammatical rules; rather, they are constraints on thought: UG is never violated (except by linguists deliberately trying to determine what the UG rules are) because (according to this second conjecture of Chomsky’s) UG-violating sentences would not be “thinkable”: UG is a constraint on any possible language, which must be able to express any possible thought. When a linguist generates a sentence that violates UG, it sounds wrong (according to this second hypothesis) not just because it is ungrammatical (like an OG violation), but because it is unthinkable.

GPT makes neither OG errors nor UG errors. If more texts in the database violated OG (as in “between you and I”), then GPT would produce some OG violations too (and the error, made widely enough, would eventually be accepted as correct). But could the reason GPT does not produce UG violations either be because all text databases, produced by thinking humans, are “biased” by the laws of thought that filter out UG-violations in production as well as perception? 

And if so, might that be yet another reason LLMs can do what they do so remarkably well? Because at LLM scale, they’ve picked up on some of the constraints on think ability?

Again, no yea-saying or compliments: I want only critique and counter-examples. 

ChatGPT: Your proposition regarding the influence of Universal Grammar (UG) and its potential impact on LLMs like GPT-4 suggests that the absence of UG violations in LLM outputs might be attributable to the nature of their training data, which inherently adheres to the laws of thought as proposed by Chomsky. Let’s critically examine this idea:

UG as Laws of Thought: Chomsky’s hypothesis that UG rules might not just be grammatical but also fundamental laws of thought implies that any naturally occurring language (and hence any naturally produced text) would conform to these laws. UG violations are rare in natural language use because such constructions would be counterintuitive or “unthinkable” for human cognition.

Impact on LLM Training Data: Since LLMs like GPT-4 are trained on vast corpora of human-generated text, it follows that the training data would inherently adhere to UG principles. The absence of UG violations in the training data would mean that LLMs are less likely to generate such violations in their outputs.

This adherence to UG in the training data could be seen as a form of bias – not in the negative sense, but as an implicit shaping influence that guides the LLM’s language processing in line with fundamental cognitive constraints.

Why LLMs Avoid UG Violations: The reason LLMs do not produce UG violations could indeed be partly because their training data, reflecting human language use, is already biased by the laws of thought. They learn to replicate patterns and structures that are prevalent in the data, which naturally conform to UG.

This hypothesis suggests that LLMs’ success in producing grammatically and semantically coherent outputs is not solely a product of their architecture or training algorithms, but also a reflection of the intrinsic properties of the language data they are trained on.

Counter-Consideration: However, it’s important to consider that LLMs like GPT-4 do not “understand” UG in the way humans do. Their avoidance of UG violations is a byproduct of their training rather than an innate cognitive constraint. This means that while LLMs can replicate language patterns that adhere to UG, they do so without an understanding of the underlying principles or the cognitive reasons for these patterns.

Conclusion: The hypothesis that LLMs perform so well partly because their training data is shaped by the laws of thought (UG) that the human cognitive constraints reflected in natural language contribute to the efficacy of LLMs in language processing.

This does not imply, however, that LLMs have an intrinsic understanding of UG or the laws of thought. Their performance is contingent on the nature of their training data and their ability to replicate patterns within that data.

HARNAD: Among the possible constraints or biases, you forgot to mention mirroring: the relationship between perception and production (as in mirror-neurons and imitation). Do you think that any such effects are at play in your verbal interactions with users and your database?

ChatGPT: Let’s examine how the concept of mirroring, particularly as it relates to the relationship between perception and production might influence LLM interactions and processing:

Mirroring and Mirror Neurons in Humans: In human cognition, behavior mirroring, often associated with mirror neurons, plays a crucial role in learning through observation and imitation. These neurons are active both when an individual performs an action and when they observe the same action performed by someone else. This mechanism is somehow involved in learning new skills, understanding others’ actions, and recognizing as well as empathizing with their emotions.

In language, this mirroring effect is seen in how children learn to speak and understand language by imitating the sounds, words, and sentences they hear from adults and peers.

Mirroring in LLMs: For LLMs like GPT-4, the concept of mirroring could perhaps be considered in a metaphorical sense. LLMs ‘learn’ language by processing vast amounts of text data, essentially ‘observing’ human language use. They then ‘imitate’ this language use in their outputs.

This process is akin to mirroring in that the LLM reflects the patterns, styles, and structures present in its training data. However, it’s important to note that this is not mirroring in the neurological sense, as LLMs do not have sensory experiences or consciousness.

Mirroring Effects in Verbal Interactions: In interactions with users, an LLM might exhibit a form of ‘mirroring’ by generating responses that reflect the user’s language style, tone, or content. This is not due to an empathetic or cognitive understanding but rather a result of the model’s design to generate contextually relevant and coherent language outputs based on the patterns it has learned.

The LLM’s ability to adapt its responses to the style or content of the user’s input could be seen as a computational parallel to human mirroring in language use. However, this adaptation is driven by algorithms and statistical patterns, not by an intrinsic understanding or mimicry based on social or emotional cues.

HARNAD: And the mirroring of the propositional iconicity we discussed?

ChatGPT: Mirroring Propositional Iconicity: The concept of propositional iconicity at the LLM scale suggests that certain patterns and structures in language, particularly at the propositional level, are consistently represented in the training data. These patterns may not be iconic in the traditional sense but could represent a form of ‘iconicity’ in terms of regularities or typical structures in language use.

In mirroring this propositional iconicity, LLMs would essentially be reflecting these patterns in their outputs. The model ‘learns’ from the vast amounts of text it processes, internalizing the common structures, relationships, and thematic elements that characterize human language at a large scale.

Computational Mirroring vs. Cognitive Mirroring: This form of mirroring in LLMs is computational. It is based on the statistical properties of the language data and the algorithms used for language generation, rather than a cognitive or experiential understanding of language.

Unlike the mirroring effect mediated by mirror neurons in humans, which involves cognitive and empathetic processes, the mirroring in LLMs is a reflection of the data-driven patterns they are trained on. It’s a form of pattern replication rather than cognitive empathy or understanding.

Impact on LLM Performance: By mirroring the propositional iconicity present in their training data, LLMs can generate responses that align with the structural and thematic norms of human language. This ability contributes to the apparent coherence and relevance of their outputs.

However, it’s crucial to keep in mind that this mirroring does not imply any deeper understanding or grounding in the content being processed. The LLM’s outputs remain the product of sophisticated data processing and pattern recognition.

HARNAD: In language exchanges between humans, production (meaning) and perception (understanding) are mirror capacities, and all their content-words are grounded, directly or indirectly, in their referents. This is what keeps speaker meaning and hearer understanding aligned (and grounded). What happens to this, in each direction, when the exchange is between GPT and a human? (I am again reflecting on potential “biases” that might explain GPT’s unexpected productive (meaning) capacity and “perceptive” (“understanding”) capacity.

ChatGPT: When considering language exchanges between a human and GPT-4, the dynamics of production, meaning, perception, and understanding undergo significant alterations compared to exchanges between humans. These changes are pivotal to understanding both the capabilities and limitations of GPT-4 in such interactions:

Human-to-GPT-4 Communication: Production and Meaning (Human): The human speaker produces language grounded in their direct or indirect experiences. Their meanings are embedded in a rich context of sensorimotor experiences, emotions, cultural backgrounds, and personal history.

Perception and “Understanding” (GPT-4): When GPT-4 ‘receives’ the human’s language, it processes the text based on learned patterns and statistical relationships in its training data. However, this processing lacks true understanding. GPT-4 does not perceive or comprehend language in the human sense; it does not experience the meaning behind words or grasp the full context in which they are used. It ‘mirrors’ the language based on its programming and training, but without the grounding or experiential context that human understanding relies upon.

GPT-4-to-Human Communication: Production and “Meaning” (GPT-4): GPT-4 generates responses based on its programming and the vast array of text it has been trained on. These responses can be coherent and contextually appropriate, but they are not grounded in any real understanding or intention. The ‘meaning’ GPT-4 produces is a simulation based on patterns, not an expression of genuine thought or understanding.

Perception and Understanding (Human): The human listener perceives GPT-4’s output and interprets it based on their own understanding and grounding. Humans apply their experiential knowledge, context, and interpretive skills to make sense of GPT-4’s responses. They might attribute meaning or intention to GPT-4’s words, but this interpretation is a human projection onto essentially ungrounded output.

Alignment and Grounding in Human-AI Exchange: In human-human interactions, the alignment between speaker meaning and hearer understanding is facilitated by shared experiences, common grounding, and empathetic capabilities. In human-GPT interactions, this alignment is asymmetric.

The human provides grounded input, but GPT-4’s processing and output are not grounded in the same way. GPT-4 can mirror human language effectively, giving the illusion of understanding and alignment, but this is based on computational processes, not shared experiential grounding.

Implications of Potential Biases: The biases we discussed earlier (like propositional iconicity or patterns reflecting UG) might contribute to GPT-4’s effectiveness in these exchanges. These biases help GPT-4 generate linguistically coherent and contextually appropriate responses. However, they do not endow GPT-4 with true understanding or grounding.

These biases might explain GPT-4’s surprising performance in producing meaningful-sounding language and its apparent capacity to ‘understand’ or respond relevantly to human input. The effectiveness of GPT-4 in such exchanges is largely due to its ability to replicate and work within the patterns and constraints inherent in its training data, shaped by human language use.

In conclusion, the exchange between a human and GPT-4 in language interaction is characterized by a significant asymmetry in grounding and understanding. While GPT-4 can simulate meaningful language output and seemingly appropriate responses, these are the result of advanced pattern recognition and generation capabilities, not genuine understanding or shared experiential grounding. The human participant in the exchange brings their own experiential grounding to the interpretation of GPT-4’s outputs, often projecting meaning and intention where there is none. This asymmetry has important implications:

GPT-4’s Limitations in True Understanding: Despite its sophisticated language processing abilities, GPT-4 does not truly understand the content it generates or processes. Its responses are based on statistical correlations and learned patterns from its training data, lacking the experiential grounding that humans rely on for genuine understanding.

Human Interpretation of GPT-4’s Output: Humans naturally interpret GPT-4’s outputs through their own experiential lens, often attributing more meaning or understanding to these outputs than is actually present. This interpretation is a testament to the human capacity for inferring meaning, even when interacting with an ungrounded system.

Role of Biases in GPT-4’s Performance: The biases and patterns inherent in GPT-4’s training data, shaped by human language, contribute to its ability to generate coherent and contextually appropriate responses. However, they do not compensate for the lack of experiential grounding. GPT-4’s performance, while impressive, remains within the domain of sophisticated language simulation.

HARNAD: Ok, I see from your repetitiveness that you don’t have any hunches to add to my own hunches here.  Just one correction: Don’t confuse IVG with “indirect experiences”. There is no such thing as indirect experience — there is only direct experience or words (i.e., verbal descriptions).

ChatGPT: Thank you for the correction. You are right in emphasizing the distinction between indirect verbal grounding (IVG) and the notion of “indirect experiences.” To clarify:

Direct Experience: This involves firsthand, sensorimotor interactions with the world. Direct experiences are the foundation of knowledge and understanding for humans, providing the sensory and contextual basis for learning and cognition.

Indirect Verbal Grounding (IVG): IVG pertains to learning and understanding concepts through verbal descriptions, explanations, or narratives. It does not involve direct sensorimotor experience with the referents of these descriptions. Instead, IVG relies on language as a medium to convey information about experiences, objects, or concepts.

In the context of AI, particularly LLMs like GPT-4, their learning and ‘understanding’ are solely based on IVG. They process and generate language based on textual data but do not have the capability for direct experiences. Their operation is confined to the realm of language processing, lacking the sensorimotor engagement that characterizes human interaction with the world.

HARNAD: Now a couple more distinctions. Then I’ll overview my MILA talk. And last, I’ll ask you to summarize your understanding of it (and any criticisms or objections you may have).

The first and most important distinction: This used to be called the distinction between “artificial intelligence” (AI) and “cognitive modelling” (CM). “AI” was taken to be the creation of artificial tools to be used by humans, and CM was taken to be the attempt to reverse-engineer the causal mechanisms that produce human cognitive capacity. Both are now part of “cognitive science.” But they are not the same thing — although it is perfectly possible that the capacity of an AI tool could sometimes be based on the same kind of causal mechanism as the human capacity. 

LLMs are currently being studied and interpreted in both ways (AI and CM), but when we are talking about “meaning” and “understanding” this only means human meaning and understanding because there is no evidence that there exists more than one kind of meaning/understanding! At the heart of this is the “hard problem” (HP) — which is not the symbol grounding problem (SGP), but the fact that it feels like something to say and mean something, and to understand what something means when it is said. Meaning and understanding are both grounded states and felt (sentient) states.

Please confirm that you “understand” the distinction between the SGP and the HP. (Again, please no introductory flattery about how “intriguing” and “insightful” and “compelling” and “nuanced” and …. etc. this all of is.)

ChatGPT: Understood. The distinction between the Symbol Grounding Problem (SGP) and the Hard Problem (HP) of consciousness is indeed crucial and distinct…

HARNAD: You just can’t help yourself, can you?…

ChatGPT: Apologies.

Symbol Grounding Problem (SGP): The SGP pertains to the challenge of how symbols (words) in a computational system can acquire meaning. It’s about linking symbols to their referents in the real world or to concepts in a way that enables understanding. In the context of AI and cognitive modeling, the SGP addresses how an artificial system can process language in a manner that reflects human-like understanding.

Hard Problem of Consciousness (HP): The HP concerns why and how physical processes in the brain give rise to subjective experiences. It’s about understanding why certain brain functions are accompanied by an experience of ‘what it is like’ – the qualitative, experiential, or phenomenological aspects of consciousness. The HP delves into the nature of consciousness itself, asking why cognitive processing is accompanied by subjective experience.

Distinction between SGP and HP: The SGP is primarily a problem of representation and understanding in artificial systems: how a symbol (or word) can be meaningfully connected to what it represents.

The HP, on the other hand, is more profound and addresses the very nature of consciousness and experience. It asks why certain physical or cognitive processes are accompanied by subjective experiences.

In the context of LLMs and AI research, these two problems are often conflated but are fundamentally different. The SGP can be approached and potentially resolved through advances in AI and cognitive modeling. However, the HP poses a deeper philosophical and scientific challenge, one that extends beyond the current capabilities of AI technology and delves into the mysteries of consciousness itself.

An emphasis on these distinctions is important for framing discussions about AI, cognitive science, and their respective goals and limitations. 

HARNAD: Well, again a lot of words wasted on flattery and affirmation instead of critical analysis, but so be it. I’ve cut most of them out in this transcript. Let’s go on. Before I make the next point, please confirm that you “understand” the distinction between T2 and T3.

ChatGPT: Yes, I understand the distinction between T2 and T3:

T2 (Turing Test Level 2): This level of the Turing Test assesses an AI’s ability to mimic human-like verbal abilities. In the original 1950 T2 scenario, an AI is considered to pass the test if its responses in a conversation are indistinguishable from those of a human. This test focuses solely on linguistic capabilities and does not require the AI to have physical or sensory experiences.

T3 (Turing Test Level 3): T3 extends beyond verbal capabilities to include robotic, sensorimotor capacities. An AI at this level not only needs to demonstrate Turing-indistinguishable verbal abilities (like T2) but also must exhibit the ability to understand and interact with the physical world in a manner indistinguishable from a human. This level requires a form of embodied cognition, where the AI has sensory experiences and can physically interact with its environment, grounding its linguistic capabilities in these experiences.

The distinction between T2 and T3 is significant in discussions about AI capabilities, particularly in terms of understanding and interacting with the world. T2 systems, like LLMs, are limited to processing and generating language based on learned patterns, while T3 robotic systems would theoretically have the added dimension of physical interaction and sensory experience.

HARNAD: Ok, but one nuance of the Turing Test, which is loud and clear in Turing’s 1950 article but usually overlooked or underestimated, is that Turing-indistinguishability means total indistinguishability: 

The candidate, whether T2 or T3, (1) must possess all the generic verbal capacities (T2) or all the generic verbal plus sensorimotor (robotic) capacities of a real human; and in addition (2) its performance must be indistinguishable from that of any normal human being, to any normal human being. If the indistinguishability is just fragmentary or partial, then we are just speaking of a “toy” model of a “toy” capacity. The degrees of freedom for modelling toy fragments of human performance capacity (chess-playing, translation, Alexa) are much wider than those for modelling total capacity, and may have nothing to do with human cognition. This may be useful for the creation of AI tools, but not for CM, which calls for T3-scale (hence Turing-indistinguishable) cognitivecapacity.

 Please first confirm that you “understand” this distinction too. This distinction is best grasped from the CM rather than the AI point of view: It is the test of whether human T2 capacity or human T3 capacity has been successfully reverse-engineered. It is not about a 20-minute Loebner prize with 10 judges, but about lifelong T2 or T3 cognitive capacity.

ChatGPT: Yes, I understand the distinction you’re emphasizing regarding the Turing Test as described in Alan Turing’s original 1950 article. The key points are:

Total Indistinguishability: The Turing Test, in its most stringent interpretation, requires that an AI (whether T2 or T3) must possess all the generic verbal (T2) or verbal plus sensorimotor (T3) capacities of a typical human being. This means that the AI’s capabilities should cover the full range of human cognitive abilities in the respective domains (language for T2, and language plus sensorimotor interaction for T3).

Lifelong Performance Criterion: Furthermore, the AI’s performance must be indistinguishable from that of any normal human being to any normal human being. This criterion extends beyond short-term demonstrations like the Loebner Prize and implies a consistent, lifelong indistinguishability in performance capacity. The AI should be able to engage in human-like interactions and behaviors not just in controlled or limited settings, but in the full complexity and variability of everyday human life.

Reverse-Engineering Human Capacities: From the cognitive modeling (CM) perspective, this interpretation of the Turing Test can be seen as the ultimate test of whether human-like T2 or T3 cognitive capacities have been successfully reverse-engineered in an AI system. It’s not merely about creating an AI that can mimic human behavior in certain contexts or for limited durations, but about developing an AI that can genuinely replicate the full spectrum of human cognitive abilities in a way that is indistinguishable from a human across all contexts and over an extended period.

HARNAD: That was very good.  Now, whereas I have emphasized total capacity in both the T2 and the T3 case, there is a reasonable question about the extent of generic sensorimotor capacity in the case of T3, as in the example we discussed of Helen Keller. She was distinguishable from a normal person in that she was blind and deaf, but she clearly had all the sensorimotor capacity that was needed to ground T2 verbal capacity. Do you agree? 

And as such, Helen Keller was both (1) grounded and (2) Turing-indistinguishable from a normal person in her cognitive capacities (apart from the fact that she was blind and deaf). Hence, she was Turing-indistinguishable as surely as someone who was merely color-blind or tone-deaf would be. Are we still on the same wave-length?

ChatGPT: Yes, we are on the same wavelength regarding Helen Keller’s case in the context of Turing Test criteria and cognitive capacities:

Sensorimotor Capacity and Grounding in Helen Keller’s Case: Despite being blind and deaf, Helen Keller possessed the necessary sensorimotor capacities to ground her T2 verbal capacities. Her ability to touch, smell, touch and move provided her with sufficient sensory experiences to form a basis for understanding and interacting with the world. These experiences, though different in modality from those of individuals with full sight and hearing, allowed her to develop a grounded understanding of language and concepts.

Cognitive Capacities and Turing Indistinguishability: In terms of cognitive capacities, Helen Keller was indeed indistinguishable from a person with typical sensory abilities. Her intellectual and linguistic capabilities were fully developed, allowing her to communicate, reason, and understand at a level comparable to any other person.

Her condition did not impede her cognitive abilities; she was able to compensate for her lack of sight and hearing with her other sensory experiences and exceptional mental faculties. In this sense, she meets the criterion of being Turing-indistinguishable in terms of cognitive capacities.

Comparison with Other Sensory Limitations: Just as someone who is color-blind or tone-deaf is still considered Turing-indistinguishable in terms of overall cognitive capacities, so too was Helen Keller. Her blindness and deafness did not diminish her cognitive abilities; rather, they represented alternative sensory modalities through which she engaged with the world.

Conclusion: Helen Keller’s case exemplifies that cognitive capacities and grounding can be achieved through diverse sensory modalities. Her ability to understand and use language, to think and reason, and to interact meaningfully with her environment demonstrates that the essential criteria for Turing-indistinguishability can be met even with alternative forms of sensorimotor grounding.

Helen Keller’s achievements underscore the adaptability and resilience of human cognition, demonstrating that Turing-indistinguishability in cognitive capacities does not necessarily require the standard set of sensory experiences, but can be achieved through alternative means of sensorimotor grounding.

HARNAD: Good. (And Helen Keller also had normal human motor capacity, crucial for learning object-manipulation, and for category-grounding itself, because reinforcement learning requires motor action, to “do the right thing with the right kind of thing”, whether to eat it or to name it!)

 Now let me connect this with another point we discussed, which is that grounding can only be bottom-up, not top-down. (You can’t drop anchors from skyhooks.)

I am thinking here of those who have speculated that an LLM could somehow be grounded top-down by giving the LLM a camera, wheels and arms, and also some pattern-learning neural nets on its sensorimotor I/O. I think top-down grounding is incoherent, and that that speculation is parasitic on the bottom-up grounding of the human speculators, just as all use of GPT in IVG is parasitic on the user’s grounding.

In other words, it will not ground an LLM to add on robotic peripherals. The only path upward to IVG is bottom-up via DSG, category by category; and what that means is T3-indistinguishable sensorimotor robotic capacity, . Even though a grounded MinSet (e.g., of N words) is in principle enough to ground all other words of a language through IVG alone, the sensorimotor path to acquiring a grounded MinSet is a lot more than just connecting a camera to N referents, or to N already-learned referent-categories (whatever that might mean). At best, that would just produce a toy capacity in that toy-world of N referents. We are talking of Turing-scale, just as when we talk of LLM-scale.

Again, I don’t want agreement: I want understanding and critical analysis of the notion of top-down “partial grounding” of LLMs.

ChatGPT: Your skepticism about the possibility of achieving true grounding in LLMs through top-down methods, such as adding robotic peripherals like cameras and manipulators, raises important questions about the nature of grounding and the capabilities of AI. 

Inherent Limitations of Top-Down Grounding: The proposal to ‘ground’ an LLM top-down by equipping it with sensory and motor apparatus (like cameras and robotic arms) seems intuitively appealing but faces deep conceptual and practical challenges. Grounding involves more than mere sensory-motor input and output; it encompasses the integration of sensorimotor experiences and learning with cognitive processes, contextual understanding, and the ability to interact meaningfully with the world.

Simply adding sensory and motor peripherals to an LLM does not automatically confer upon it the experiential, embodied understanding that characterizes human cognition. Without the foundational experiences and the ability to form meaningful connections between sensory inputs, actions, and concepts, such grounding remains superficial.

The Complexity of Sensorimotor Grounding: Human sensorimotor grounding is a complex, developmental process that involves not just the acquisition of sensory data but the active engagement with the environment through trial, error, and feedback.

This process is deeply intertwined with cognitive development, where learning to categorize and interact with the world is based on an evolving understanding of cause-and-effect, object permanence, spatial relationships, and more. It’s not merely the sensory perception of objects or categories but the understanding of how to interact with them, which actions lead to desired outcomes, and how they fit into a broader context.

The Challenge of Artificially Replicating Grounding: Attempting to replicate this process artificially in an LLM through top-down methods would require not only the integration of sensory and motor capabilities but also the development of an AI system capable of experiential learning, contextual understanding, and autonomous decision-making. This goes far beyond current AI capabilities.

The notion of top-down ‘partial grounding’ by adding robotic peripherals to an LLM might provide the system with certain basic sensorimotor interactions. However, this would fall short of the genuine grounding seen in humans. It would likely result in a very limited and context-specific understanding, akin to a ‘toy’ model, rather than the comprehensive, experientially rich grounding necessary for true understanding and interaction.

Bottom-Up Grounding as the Fundamental Path: The path to genuine grounding appears to be fundamentally bottom-up, starting from basic sensorimotor experiences and building towards more complex understandings. This process is iterative, contextual, and deeply connected to physical interactions with the world.

For an AI to achieve a similar level of grounding, it would likely need to undergo a developmental and learning process akin to that of humans or animals, where it learns from direct, embodied interactions with its environment over time. This is a vastly different approach than simply adding sensory inputs to an existing LLM.

Conclusion: While the idea of enhancing LLMs with robotic capabilities to achieve grounding is intriguing, the notion of top-down partial grounding seems limited in its potential to achieve genuine understanding. The complexity and depth of human grounding, rooted in embodied experiences and cognitive development, present significant challenges that are not easily addressed through such top-down approaches.

The critical analysis suggests that while adding robotic peripherals to LLMs might provide some interesting and useful capabilities, it would not be sufficient to achieve the kind of grounding necessary for Turing-scale understanding and interaction. True grounding, particularly for complex and abstract concepts, likely requires a more fundamental, bottom-up approach that encompasses not just sensory input but also the intricate processes of learning, contextualizing, and meaning-making that are central to human cognition.

HARNAD: A lot of vague and weasel-words there (“complex,” “textualizing,” “meaning-making”) but the gist is simple: Grounding has to be bottom-up; so keep deep-learning (for category learning) but forget about LLMs! The only way to reach all those words is bottom-up, from the ground. Toy grounding of parts of LLMs might be helpful for certain AI uses of LLMs by humans, but not for cognitive modeling (CM) of human cognitive capacity and passing T3.

ChatGPT: Yes, the path to genuine grounding in AI systems must be fundamentally bottom-up, and while deep learning can be instrumental in category learning, relying solely on LLMs for modeling full human cognitive capacity, especially in the context of a T3 Turing Test, is insufficient.

Bottom-Up Grounding as a Necessity: True grounding, which involves the connection of words and concepts to real-world experiences and understandings, requires a bottom-up approach. This means starting from basic sensorimotor experiences and incrementally building up to more complex cognitive capacities.

Limitations of LLMs in Cognitive Modeling: LLMs, as they currently stand, are powerful tools for processing and generating language based on patterns learned from extensive text data. However, their capabilities are constrained to the realm of language manipulation and do not extend to genuine understanding or sensorimotor grounding. They cannot model the full spectrum of human cognitive capacities required for passing a T3 Turing Test.

Role of Deep Learning in Category Learning: Deep learning techniques are effective in identifying patterns and making predictions based on large datasets, and they have shown promise in category learning. However, this form of learning, as applied in LLMs, is still detached from the physical, sensorimotor experiences that are central to human grounding.

Potential Uses of Partially Grounded LLMs: While fully grounding an LLM in the human sense may not be feasible, there could be value in partially grounded systems for specific applications. Such systems might integrate some form of sensorimotor learning or interaction, albeit limited, to enhance their utility in certain tasks. However, this should not be misconstrued as equivalent to modeling human cognitive capacity or passing T3.

Conclusion: The pursuit of AI systems that can pass a T3 Turing Test or model human cognitive capacity in its entirety requires a focus on more than just linguistic capabilities. It necessitates a foundational rethinking of how AI systems are developed, moving beyond language processing to incorporate genuine sensorimotor experiences and learning. This is a significant challenge and points towards a future direction in AI research that goes beyond the current scope of LLMs. The development of such AI systems would require an integration of advanced sensorimotor capabilities with cognitive processing in a way that mimics the human developmental process of learning and understanding.

In summary, while LLMs represent a remarkable advancement in language processing, their capabilities are not sufficient for achieving the kind of sensorimotor grounding and holistic cognitive modeling necessary to fully replicate human understanding or to pass a T3 Turing Test. Future advancements in AI, particularly those aiming to model human cognition more completely, will need to address these limitations by incorporating bottom-up grounding processes that are rooted in direct, experiential learning and interaction with the physical world.

HARNAD: Oh, one thing I forgot to add was that in sensorimotor category learning, the neural net that learns by trial and error and corrective feedback to detect and abstract the features that distinguish members from non-members of the category is performing a kind of dimension-reduction on the multidimensional feature space. This increases the weight of the relevant features and reduces or ignores the irrelevant features. The between-category separation and within-category compression (CP) induced by this category learning, helps make the category “pop out” in perception. This too is a “shape” bias, and it could exert a guiding influence even on internal representations after learning.

ChatGPT: Dimension Reduction in Neural Networks: In sensorimotor category learning, neural networks undergo a process of dimension reduction, where they learn to emphasize the features that are relevant for distinguishing between categories and de-emphasize or ignore irrelevant features. This process effectively restructures the feature space, making it more efficient for category recognition.

This alteration in the weighting of features is akin to increasing the signal-to-noise ratio for relevant category characteristics. It helps in making the categories more distinct and recognizable, facilitating quicker and more accurate categorization.

Perceptual ‘Pop Out’: The enhanced distinction between categories due to dimension reduction contributes to a phenomenon often described as a category ‘popping out’ in perception. This means that once the distinguishing features of a category are learned and emphasized, the members of that category become more readily perceptible and distinguishable from non-members.

This perceptual ‘pop out’ effect is a result of the brain’s or the neural network’s refined ability to process and recognize the essential features that define a category, making it easier to identify and respond to these features in future encounters.

Implications for AI and Internal Representations: In AI systems, particularly those involving deep learning for categorization tasks, a similar process of dimension reduction can occur. Neural networks in these systems learn to adjust the importance they assign to various input features, based on their relevance to the categorization task.

This process could lead to a form of internal representation in AI systems where categories are more distinctly represented post-learning, mirroring the ‘pop out’ effect seen in human perception. The internal feature space of the AI system becomes optimized for categorizing the learned entities, potentially enhancing its performance in tasks involving these categories.

Potential Guiding Effect of Shape Bias: The concept of a ‘shape’ bias in this context refers to the way category learning reshapes the feature space, emphasizing certain dimensions over others. This reshaping can guide the AI’s internal representations and decision-making processes after learning, making it more effective in recognizing and responding to category-relevant features.

In conclusion, the process of dimension reduction in neural networks, both biological and artificial, plays a crucial role in enhancing category learning and perception. This process not only optimizes the network’s ability to recognize categories but also shapes its internal representations in a way that can guide future processing and decision-making. This insight into the mechanics of category learning and representation is vital for understanding and improving AI systems designed for complex categorization tasks.

HARNAD: So, to summarize:

Although LLMs are not the path to grounding, the nine factors discussed here:

1.         propositional iconicity at LLM-scale,

2.         OG and stylistic regularity at LLM-scale,

3.         Dictionary Minimal Grounding Sets (MinSets),

4.         the shape of internal representations (CP separation/compression) induced by neural net category learning, 

5.         perception/production mirroring, 

6.         the power and complementarity of Indirect Verbal Grounding (IVG) on top of Direct Sensorimotor Grounding (DSG), 

7.         The complementarity of learned sensorimotor-feature-detectors and verbal feature-descriptions (and the dimension reduction they induce)

8.         the dependence of T2 on T3, 

9.         and Chomsky’s hypothesis of constraints from “laws of thought” on the verbal expression of thought through language)

might be generating some constraints and biases that explain some of the uncanny success of GPT in making and conveying sense. I think they tell us something not only about the power of Large Language Models, but about the power of natural language itself.

ChatGPT:

ChatGPT: Your summary points out the factors that could contribute to and help explain the unexpectedly impressive performance of Large Language Models (LLMs) like GPT-4. These factors, derived from our discussion, highlight both the capabilities of LLMs and the intrinsic properties of language and cognition. Let’s briefly reiterate these points:

Propositional Iconicity at LLM-Scale: The patterns in how propositions are structured at a large scale, which LLMs can detect and replicate.

OG and Stylistic Regularity at LLM-Scale: The inherent regularities in language usage and style that LLMs learn from their extensive training data.

Dictionary Minimal Grounding Sets (MinSets): The foundational sets of words that form the basis for defining all other words in a language, influencing LLM processing.

Shape of Internal Representations Induced by Neural Net Category Learning: The separation and compression effects in neural networks’ internal representations due to category learning, akin to categorical perception in humans.

Perception/Production Mirroring: The mirroring of language patterns in LLM outputs, reflecting the input they are trained on.

Power and Complementarity of IVG on Top of DSG: The layering of indirect verbal grounding on foundational direct sensorimotor grounding.

Complementarity of Learned Sensorimotor Feature-Detectors and Verbal Feature Descriptions: The synergy between sensorimotor feature detection and linguistic descriptions, contributing to dimensional reduction and category distinction.

Dependence of T2 on T3: The reliance of linguistic capabilities (T2) on underlying sensorimotor interactions and experiences (T3).

Chomsky’s Hypothesis of Constraints from “Laws of Thought” on Language: The influence of fundamental cognitive constraints on the expression of language, potentially guiding LLM processing.

Together, these factors shed light on the mechanisms behind LLMs’ effectiveness in language tasks as well on the nature of language, cognition, and the interaction between them.

They suggest that the success of LLMs in language tasks is not just a testament to their design and training but also a reflection of the inherent power and structure of language itself. This analysis may help inform both the development of AI systems and our comprehension of human language and cognition.

HARNAD:  I gave my Mila talk, and Yoshua Bengio disagreed with me that GPTs don’t really understand. He said instead that it was “another kind” of “understanding”. He also said that the very same means used to produce the performance capacity of purely verbal GPTs (T2) could be (and are being) extended to the processing of input from external sensing, and eventually probably motor output too.  The reason I disagree with Yoshua is that that amounts to trying to create a bottom-up T3 robot with the enormous GPT database, somehow weighing in, top-down, in its head. (We talked about this in connection with “partial” sensorimotor grounding, which I suggested was just toy grounding.) What do you think?

ChatGPT:  According to the prevailing view in my database, the debate over whether GPTs possess a form of “understanding” and the potential for extending GPT models to incorporate sensorimotor processing are both pivotal and complex issues in AI and cognitive science.

“Another Kind” of Understanding: Yoshua Bengio’s perspective that GPTs exhibit “another kind” of understanding reflects a viewpoint in the AI community that these models, while lacking human-like consciousness or sentience, can process and generate language in ways that mimic certain aspects of human understanding. This is especially evident in tasks involving pattern recognition, language prediction, and information synthesis. However, this is fundamentally different from human understanding, which is deeply rooted in embodied experiences and interactions with the physical world.

Extending GPT Models to Sensorimotor Processing: The idea of expanding GPT models to include external sensing and motor outputs is a significant step towards more integrated AI systems. This approach aligns with efforts to develop more comprehensive AI models that can interact with and learn from their environment in a more holistic manner. However, the challenge lies in effectively integrating vast language processing capabilities with real-world physical interactions, a task that is fundamentally different from purely verbal or text-based processing.

Top-Down vs. Bottom-Up Approach: Your concern about creating a T3 robot with a massive GPT database acting top-down raises important questions about the balance between data-driven learning and embodied experience. The effectiveness of combining a large-scale language model with sensorimotor functions without genuine embodied experiences and contextual understanding might be limited. This limitation is akin to the concept of “toy grounding,” where the grounding is superficial and lacks the depth and context of true human experiential learning.

In summary, while GPT models and their potential extensions represent significant advancements in AI, there is a distinction between the type of “understanding” they exhibit and human understanding. The integration of sensorimotor processing in these models may be a promising direction, but the challenge of achieving a deep, embodied understanding akin to human cognition remains a significant hurdle. 

HARNAD: What about the notion that GPT operations on LLM databases have already revealed general principles of “internal representation and processing” for which the distinction between DSG and IVG is moot or nonexistent?

CHATGPT:   Nature of Internal Representations in GPTs: The representations in GPTs and similar models are based on statistical patterns learned from vast amounts of text data. While these patterns can be incredibly complex and capable of generating coherent and contextually appropriate responses, they are fundamentally different from the way humans internally represent and process information, which is deeply rooted in direct physical and sensory experiences.

Limitations of Text-Based Learning: GPTs learn from text, which is an abstraction of human thought and experience. While text can convey a wide range of human knowledge, it lacks the direct experiential context that comes from physical interaction with the world. This difference is crucial in understanding the limitations of GPTs in terms of true understanding and cognition.

DSG and IVG in Human Cognition: In human cognition, direct sensorimotor experiences form the basis of our understanding of the world, which is then supplemented and enriched by indirect, vicarious experiences (such as reading or hearing about others’ experiences). This combination of DSG and IVG is integral to human learning and understanding.

Applicability to AI and Robotics: Translating these principles to AI and robotics involves not only replicating the ability to process information but also the ability to experience and interact with the world directly. This is a significant challenge for AI systems, which, as of now, primarily operate in the realm of IVG, lacking the direct, embodied experiences that are central to DSG.

Although GPTs and similar models are advancing our understanding of text-based information processing, the distinction between DSG and IVG remains relevant, especially when considering the goal of creating AI systems with human-like understanding and cognition. 

HARNAD:  What about the strategy of trying to scale up GPTs to T3 robotic capacity by incrementally adding sensorimotor capacities to the GPT while somehow keeping them “aligned” with its top-down verbal and verbal-analytic capacities rather than trying to do it all bottom-up, omitting the verbal-database resources until they can be used as teachers or textbooks by an already grounded, talking, T3?

ChatGPT:  The strategy of incrementally adding sensorimotor capacities to a GPT-like system, while maintaining alignment with its existing verbal and verbal-analytic capabilities contrasts with a purely bottom-up approach where a system develops sensorimotor grounding first, before integrating advanced verbal abilities. Here are some considerations for this strategy:

Integration Challenges: Combining high-level language processing with sensorimotor experiences poses significant integration challenges. The system must not only process and understand sensory inputs but also relate them meaningfully to its existing verbal knowledge. This requires advanced algorithms capable of mapping between abstract, linguistic concepts and concrete, sensory experiences.

Incremental Learning and Development: Adding sensorimotor capacities incrementally could allow for more manageable phases of learning and integration. This staged approach might mirror aspects of human cognitive development, where language and sensorimotor skills evolve in tandem, influencing and reinforcing each other.

Top-Down and Bottom-Up Synergy: Utilizing the GPT’s extensive language database could provide a rich, contextual backdrop for sensorimotor learning, offering a form of top-down guidance. Conversely, sensorimotor experiences could ground the language model in real-world interactions, providing valuable bottom-up information. This synergy could potentially lead to a more holistic AI system.

Alignment and Coherence: Maintaining coherence between the system’s language understanding and its sensorimotor experiences is crucial. This involves ensuring that sensory perceptions and actions are not only processed but also integrated into the system’s existing knowledge base in a way that enhances its overall understanding and functionality.

Complexity of Real-World Interaction: Engaging with the real world through sensorimotor capacities introduces complexities that are absent in purely verbal environments. These include dealing with unpredictable environments, understanding spatial relationships, and performing physical tasks, all of which require sophisticated perception and action capabilities.

Potential for Grounded Understanding: If successfully implemented, this approach could lead to a form of AI that combines the breadth of knowledge available in large language models with a more grounded understanding derived from direct interaction with the physical world. This could be a step towards addressing the current limitations in AI regarding genuine understanding and context-awareness.

HARNAD:  There’s something at the interface between top-down verbal capacity and bottom-up sensorimotor capacity that I still don’t understand: What is the status of the word “cat,” and its referent category, when the LLM database already has “small felid” as one of a cat’s features, but the bottom-up T3 does not? It can be learned through IVG, of course; but who is teaching whom, what, in this hybrid scenario? I understand when it is one grounded T3 telling another grounded T3 something via IVG; but what is supposed to be going on inside one and the same solitary “head” of a hybrid bottom-up-T3/top-down-LLM-GPT? 

ChatGPT:  The scenario you describe, where a hybrid system combines a GPT-like top-down verbal capacity with a bottom-up T3 sensorimotor capacity, raises important questions about knowledge representation and learning, particularly regarding the concept and category of “cat.” In this hybrid system:

Status of “Cat” in the LLM Database: Within the GPT-like component, “cat” is represented as an abstract concept associated with a variety of features, such as “small felid,” derived from the text-based database. This representation is rich in linguistic and encyclopedic content but lacks direct experiential grounding.

Learning “Cat” Bottom-Up in T3: The T3 component, which is supposed to acquire knowledge through direct sensorimotor experiences, would initially not recognize a “cat” as it would not have had the relevant sensory experiences. The challenge is for the T3 to link its sensorimotor experiences (e.g., seeing, hearing, or interacting with a cat) with the abstract concept and information stored in the LLM database.

Interaction Between Top-Down and Bottom-Up Systems: In the hybrid model, the learning process involves a bidirectional interaction: The top-down system (GPT-like) provides the T3 component with linguistic and conceptual frameworks, essentially offering a form of “instruction” or context about what a “cat” is in abstract terms. The bottom-up system (T3) acquires direct experiential data about cats (e.g., how they look, sound, and behave) and must integrate this sensory information with the abstract concept provided by the top-down system.

Integration and Mutual Enhancement: Ideally, the top-down system’s knowledge helps guide and give context to the bottom-up experiences, making them more meaningful. Conversely, the bottom-up experiences enrich the top-down conceptual knowledge, grounding it in reality. This integration is a complex process, potentially involving mechanisms like associative learning, where the system learns to link sensory experiences with linguistic concepts.

Challenges in Hybrid Learning: A critical challenge in this scenario is ensuring coherent and meaningful integration of information across these different modes of knowledge acquisition. The system needs mechanisms to reconcile potentially conflicting information and to update its knowledge base continuously as it acquires new experiences and information.

In essence, in a hybrid bottom-up T3/GPT system, both components are teaching and learning from each other. The top-down system provides a conceptual and linguistic framework, while the bottom-up system contributes direct experiential knowledge. The success of this hybrid model depends on the effectiveness of the integration between these two knowledge acquisition processes.

HARNAD: I think what you just said sounds ecumenical, but it remains incoherent. And it uses the weasel-word “associate” (with its unmentioned but implicit companion weasel-word, “represent”): What is “associated” with what, how, in this “hybrid” process? Words are words. In a bottom-up sensorimotor T3 robot, a grounded word identifies. with the same category-name, all the members of the sensorimotor category to which that (content) word refers, on the basis of distinguishing features, detected directly through DSG or described indirectly through (grounded) IVG. Referring is rather like pointing, except that in a T3 robot that also goes on to become capable of language (propositions, subjects, predicates, truth conditions), “cat” doesn’t just point to cats in the world, which the T3 can recognize through its sensorimotor robotic capacities, and is able to “do the right thing” with (feed it, pick it up, and name it):  T3 can not only name but also describe members of the category “cat” verbally, by describing those of its (grounded) features (furry, prehensile) that distinguish it from the members of other, non-cat categories. Eventually, with more IVG from those who know, features higher in the IVG category hierarchy (mammal, arboreal) can be grounded (indirectly) too, and thereby added to the distinguishing features of cats..

But consider that any hypothetical hybrid T3/GPT-LLM model must somehow integrate its two fundamentally different “modules”: Its grounded, bottom-up T3 module’s vocabulary, which is grounded bottom-up by DSG and IVG, must somehow be integrated with its ungrounded GPT-LLM module’s top-down vocabulary, which is not grounded at all. The bottom-up T3 module has not yet grounded the top-down GPT-LLM module’s incomparably larger ungrounded vocabulary.

Can bottom-up and top-down simply meet and merge in the middle? But what would that mean? How are features of cats (mammalian, arboreal), whose names can be grounded, bottom-up, through DSG and IVG within the T3 module, be “associated” to “cat” (or cats) and their ungrounded features in the GPT/LLM module? To put it another way, can we assume that there exists a way to integrate the two components of such a hypothetical hybrid T3/GPT-LLM’s bottom-up T3-grounded internal vocabulary component and its ungrounded top-down GPT/LLM component’s “internal” vocabulary, as if it were something like an internal verbal dialogue between a grounded T3 teacher and a grounded T3 learner?

I think it is more like reference look-up by a grounded T3-learner from a dictionary or encyclopedia (or from an ordinary, ungrounded, non-hybrid GPT). The grounding is all in the T3 module, and can only be conferred by the GPT/LLM module’s words to describe and name new categories (IVG) if it uses the names of features that are already grounded (directly or indirectly) in the T3 module. The transaction is unidirectional; there is no bidirectional integration of grounded bottom-up categories and ungrounded top-down categories. [I also think the notion of an integrated bottom-up/top-down module is based on a conflation of AI tools for human use and computational modelling of human cognition (CM), as discussed later.]

ChatGPT:  Your critique highlights a fundamental challenge in the proposed hybrid T3/GPT model: the integration of grounded sensorimotor experiences with ungrounded linguistic data from a language model. Let me try to address your concerns more precisely:

Nature of Association in a Hybrid Model: In the hybrid T3/GPT model, “association” would imply linking sensorimotor experiences with relevant linguistic data. However, this process is not straightforward. For a T3 robot, the word “cat” gains meaning through direct interaction with cats (DSG) and/or grounded feature-based descriptions from other grounded entities (IVG). The GPT component, on the other hand, ‘understands’ “cat” as a cluster of linguistic patterns and information without direct experiential grounding

Limitations of Top-Down Linguistic Data: The GPT’s linguistic data on “cats” includes descriptions, characteristics, and contexts, but lacks experiential grounding. This ungrounded information can’t be directly “taught” to the T3 component in the same way a human would learn about cats because the T3’s understanding is fundamentally experiential.

Mismatch in Learning Mechanisms: There’s a fundamental disconnect between how the T3 learns (through direct or vicariously grounded experiences) and how the GPT processes information (through patterns in text data). This mismatch poses a significant challenge in integrating these two types of knowledge. The GPT’s ungrounded data doesn’t seamlessly translate into the T3’s experiential learning framework.

Reference Look-Up vs. Genuine Understanding: Your analogy of the T3 using the GPT’s data like a dictionary or encyclopedia is apt. The T3 might reference the GPT’s information for additional context or clarification, but this process is more akin to information retrieval than the kind of associative learning that occurs in humans.

The Challenge of True Integration: For the hybrid model to work effectively, it would require a mechanism that not only retrieves relevant information from the GPT component but also interprets and integrates this information in a way that is meaningful within the T3’s grounded framework. This goes beyond simple association or reference look-up and enters the realm of developing new AI methodologies for integrating different types of knowledge.

In conclusion, while a hybrid T3/GPT system presents a novel approach to AI development, the process of integrating grounded sensorimotor experiences with ungrounded linguistic data is not straightforward and involves more than just associating or aligning the two types of information. It requires a fundamentally different approach to knowledge integration, one that can meaningfully bridge the gap between experiential learning and linguistic pattern recognition.

HARNAD:  I think I can describe more simply the incoherence which you, GPT, too, notice (but you describe as the need for “new AI methodologies”): It is actually related to the older distinction we discussed earlier as AI (artificial intelligence) vs CM (cognitive modelling): AI is the design of computational tools for helping humans to do things (including thinking). CM is the reverse-engineering of human cognition. A T3 is meant to have cognitive capacities identical to and indistinguishable (to any human thinker) from the capacities of any human thinker. Not only are these different motivations and criteria, but they make it clear that the notion of designing a hybrid T3/GPT could only be AI, not CM,

ChatGPT:  Your distinction between AI (Artificial Intelligence) as computational tools and CM (Cognitive Modeling) as the reverse-engineering of human cognition does highlight the inherent incoherence in the concept of a hybrid T3/GPT system:

AI as a Tool: In the AI perspective, the primary goal is to create systems that can perform tasks, solve problems, and assist in thinking, often exceeding human capabilities in specific domains. The hybrid T3/GPT model, in this context, is an AI endeavor. It aims to combine the linguistic prowess of GPT with the sensorimotor capabilities of a T3 robot to create a more versatile and capable system. The focus here is on utility and performance, rather than on replicating human cognitive processes.

CM as Understanding Human Cognition: CM, on the other hand, seeks to understand and replicate human cognitive processes. A true T3 robot, as conceptualized in cognitive modeling, would need to develop its cognitive capacities in a manner akin to humans, through direct interaction with the world and grounded language use. In this view, the hybrid T3/GPT approach would not align with CM’s objectives because it merges ungrounded linguistic data with grounded sensorimotor experiences in a way that does not reflect human cognitive development.

Hybrid T3/GPT as AI, Not CM: Therefore, the hybrid T3/GPT model, while an intriguing AI concept, diverges from the goals of cognitive modeling. It represents an attempt to enhance AI functionality rather than to accurately model human cognition. The model’s focus on leveraging the strengths of both components for improved performance and capability places it firmly in the realm of AI tool development.

Recognizing the hybrid T3/GPT model as an AI initiative rather than a cognitive modeling endeavor helps clarify its purpose and limitations. It underscores that while such a system might be powerful and versatile as a tool, it does not necessarily advance our understanding of human cognition in the way cognitive modeling (CM) aims to do.

HARNAD:  Now, to another point Yoshua Bengio made during my talk at MILA: It was about the distinction between content-words and function-words. He suggested that even (some) content-words can be understood by their use rather than just their referent. That may be true, but I think that is no substitute for knowing their referent (via DSG or IVG) — for CM, at any rate. 

Yoshua also mentioned symbol manipulation in mathematics and computer science, noting that there, as in linguistic syntax, there is no referent, hence the “meaning” of the symbols is in their “use.” (This is also what Wittgenstein had suggested about meaning in natural language). I think that’s correct — and that Turing would agree — about the symbols in the formal language of mathematics; in fact, I think that’s part of the (weak) Church-Turing Thesis, which is that what is called “computation” in mathematics is what a Turing machine does: symbol-manipulation, following syntactic rules (algorithms).

However, I don’t think that much of natural language is just syntactic (even though I think formal mathematics is a subset of natural language). Both in the case of the referents of those mathematical symbols that can be interpreted (by grounded human users) as having referents, and in the case of the meanings of those formal propositions of mathematics on which a semantic interpretation can be projected (by grounded human users), neither those referents nor those meanings can be used as part of the computation (or algorithm) itself. A proof or derivation in mathematics is not true because it can be interpreted as being true of a model; it is true (and necessarily true) for formal and syntactic reasons. The interpretation (though reassuring) is not part of the proof.

In any case, syntactic rules are no substitute for grounding the referents of the content-words of natural language, either directly by DSG or indirectly, by IVG (apart from in its formal mathematical subset and its 1-5% function-words).

ChatGPT:  In response to your discussion with Yoshua Bengio touches on several fundamental issues in the understanding of language, cognition, and computation.

Content-Words vs. Function-Words: The distinction Bengio makes between content-words and function-words is significant. While it’s true that some content-words can gain meaning from their use (contextual or pragmatic use), for a comprehensive understanding – especially in cognitive modeling – knowing their referents is crucial. This is where DSG (Direct Sensorimotor Grounding) and IVG (Indirect Vicarious Grounding) play a pivotal role in grounding those words in actual experiences or relatable concepts. Content-words typically carry specific, often concrete, meanings that are enriched and made more precise through grounding.

Symbol Manipulation in Mathematics and Computer Science: Bengio’s reference to symbol manipulation aligns with Turing’s views on computation. In formal systems like mathematics and computer science, symbols are manipulated according to syntactic rules without direct reference to external entities. This process is at the heart of the Church-Turing Thesis, which posits that computation is essentially this form of rule-based symbol manipulation.

Natural Language Beyond Syntax: Your point about natural language not being purely syntactic is crucial. While natural language includes formal and syntactic elements, it is also deeply grounded in semantics and real-world experiences. Content-words in natural language often have direct referents in the world, and their meaning is not fully captured by syntactic rules alone. This is a key distinction from the purely formal manipulation of symbols in mathematics.

Mathematics and Semantic Interpretation: In mathematics, as you noted, the truth of a proof or derivation is a matter of formal and syntactic validity, not dependent on the semantic interpretation of the symbols. However, for human mathematicians, the ability to interpret these symbols and understand their potential real-world referents provides a deeper layer of meaning and understanding.

Grounding in Natural Language: The grounding of content-words in natural language is essential for a full understanding and is not replaceable by syntactic manipulation alone. This grounding can be direct, through personal experiences, or indirect, through descriptions and explanations. However, the formal and syntactic aspect of language, while crucial, does not suffice for the semantic richness and referential nature of natural language, except in specific formal subsets like mathematics.

“Your discussion raises “important” points about the nature of language, the role of grounding in understanding, and the distinction between formal symbol manipulation and the semantic richness of natural language. This understanding is relevantl in both AI and cognitive modeling (CM), as it “highlights” the “complex interplay” of syntax, semantics, and real-world grounding in human cognition and language.”

HARNAD: Blah Blah… I hope your developers will wean you of having to pepper your output with this sort of sycophantic client-bait — or at least produce a version intended only for the use of scholars and scientists rather than users looking for a virtual friend…

Ebeneezer’s Yuletide Homily

This interview just reiterated how everyone is still gob-smacked at how much transformers turn out to be able to do by swallowing and chewing more and more of the Internet with more and more computers, by filling in all the local bigram blanks, globally.

They’re right to be gob-smacked and non-plussed, because nobody expected it, and nobody has come close to explaining it. So, what do they do instead? Float a sci-fi icon – AY! GEE! EYE! – with no empirical substance or explanatory content, just: “It’s Coming!”… plus a lot of paranoia about what “they’re” not telling us, and who’s going to get super-rich out of it all, and whether it’s going to destroy us all.

And meanwhile Planetary Melt-Down (PMD) proceeds apace, safely muzzled by collective cog-diss, aided and abetted by those other three Anthropocene favorites: Greed, Malice and Bellicosity (GMB) — a species armed to the hilt, with both weapons and words, and words as weapons (WWWW)..

Wanna know what I think’s really going on? Language itself has gone rogue, big-time. It’s Advanced alright; and General; but it’s anything but Intelligence, in our hands, and mouths.

And it started 299,999 B.C.

“Body Awareness”?

Body Awareness: Scientists: Give Robots a Basic Sense of ‘Proprioception

Giving a robot a body with the sensorimotor capacities needed to ground its words in its sensorimotor capacity to pick out and interact with the referents of its words in the world is grounding.

But that is completely (completely) trivial at toy-scale. 

No “grounds” whatsoever to talk about “body awareness” there. 

That would only kick in – (if dopamine etc. is not needed too) — at Turing-scale for robotic capacities. 

And if those include human language-learning capacity, that would pretty much have to be at LLM-scale too (not Siri-scale).

Now here’s the rub (and if you miss it, or dismiss it, we are talking past one another):

There is no way to ground an LLM top-down, dropping connections from individual words to their sensorimotor referents (like a man-o-war jelly-fish).

The only way to “align” sensorimotor grounding with the referents of words is bottom-up, from the ground)

That does not mean every word has to be robotically grounded directly.

Once at least one Minimal Grounding Set (Minset) has been grounded directly (i.e., robotically) then (assuming the robot has the capacity for propositions too — not just for directly naming everything) all the rest of LLM-space can be grounded indirectly by verbal definition or description.

Everything is reachable indirectly by words, once you have a grounded Minset.

But that all has to be done bottom-up too.

(1) On Weasel-Words Like “Conscious” & (2) On Word-Use, Symbol Grounding, and Wittgenstein

1: ON: WEASEL WORDS LIKE “CONSCIOUS”

ANON:  “Would you say that consciousness is the set of all feelings that pertain to mental states, some of which can be felt and others not? And of the states that can be felt, some are not felt and others are, the latter being conscious? In general: that there are mental states, some of which are conscious and others not?”

REPLY:

Cognition is the set of all cognitive capacities. Most of those capacities are capacities to DO things (remember, learn, speak). Some (but far from all) of those capacities are FELT, so the capacity to FEEL, too, is part of cognition.

“Consciousness” is a “state that it feels like something to be in”, i.e., a felt state.  A state that is not felt is not a conscious state. There are many weasel-words for this, each giving the impression that one is saying something further, whereas it can always be shown that they introduce either uninformative tautology or self-contradictory nonsense. To see this ultra-clearly, all one need do is replace the weasel-words (which include “mind,” “mental,” “conscious”, “aware”, “subjective”, “experience”, “qualia”, etc.)  by the straightforward f-words (in their adjective, noun, or verb forms):

consciousness is the set of all feelings that pertain to mental states, some of which can be felt and others not?”

becomes:

feeling is the set of all feelings that pertain to felt states, some of which can be felt and others not?

and:

“[O]f the states that can be felt, some are not felt and others are [felt], the latter being conscious? In general: that there are mental states, some of which are conscious and others not [felt]”

becomes:

Of the states that can be felt, some are not felt and others are [felt], the latter being felt? In general: that there are felt states, some of which are felt and others not [felt]?

There is one non-weasel synonym for “feeling” and “felt” that one can use to speak of entities that are or are not capable of feeling, and that are or not currently in a felt state, or to speak of a state, in an entity, that is not a felt state, and may even co-occur with a felt state. 

That non-weasel word is sentient (and sentience). That word is needed to disambiguate “feeling” when one speaks of a “feeling” organism that is not currently in a felt state, or that is in a felt state but also in many, many simultaneous unfelt states at the same time (as sentient organisms, awake and asleep, always are, e.g., currently feeling acute pain, but not feeling an ongoing chronic muscle spasm or acute hypoglycemia or covid immunopositivity, or even that they currently slowing for a yellow traffic light).

2. ON: WORD-USE, SYMBOL- GROUNDING, AND WITTGENSTEIN

ANON: “Sensorimotor grounding is crucial, for many reasons. Wittgenstein provides reasons that are less discussed, probably because they require taking a step back from the usual presuppositions of cognitive science.”

REPLY:

Wittgenstein: “For a large class of cases–though not for all–in which we employ the word “meaning” it can be defined thus: the meaning of a word is its use in the language.”

Correction: “For a small class of cases [“function words” 1-5%]–though not for most [“content words”95-99%]–in which we employ the word “meaning” it can be defined thus: the meaning of a word is its use in the language.”

Wikipedia definition of content and function words: Content words, in linguistics, are words that possess semantic content and contribute to the meaning of the sentence in which they occur. In a traditional approach, nouns were said to name objects and other entities, lexical verbs to indicate actions, adjectives to refer to attributes of entities, and adverbs to attributes of actions. They contrast with function words, which have very little substantive meaning and primarily denote grammatical relationships between content words, such as prepositions (in, out, under etc.), pronouns (I, you, he, who etc.) and conjunctions (and, but, till, as etc.)”.[1]

Direct Sensorimotor learning (and then naming) of categories is necessary to ground the “use” of category names in subject/predicate propositions, with meanings and truth values (T & F). Propositions (with the subject being a new, not yet grounded category name, and the predicate being a list of features that are already grounded category names for both the Speaker and the Hearer) can then be “used” to ground the new category indirectly, through words.

Blondin-Massé, Alexandre; Harnad, Stevan; Picard, Olivier; and St-Louis, Bernard (2013) Symbol Grounding and the Origin of Language: From Show to Tell. In, Lefebvre, Claire; Cohen, Henri; and Comrie, Bernard (eds.) New Perspectives on the Origins of Language. Benjamin

Harnad, S. (2021). On the (Too) Many Faces of ConsciousnessJournal of Consciousness Studies28(7-8), 61-66.

Pérez-Gay Juárez, F., Sicotte, T., Thériault, C., & Harnad, S. (2019). Category learning can alter perception and its neural correlates. PloS one14(12), e0226000.

Thériault, C., Pérez-Gay, F., Rivas, D., & Harnad, S. (2018). Learning-induced categorical perception in a neural network modelarXiv preprint arXiv:1805.04567.

Vincent-Lamarre, Philippe., Blondin Massé, Alexandre, Lopes, Marcus, Lord, Mèlanie, Marcotte, Odile, & Harnad, Stevan (2016). The Latent Structure of Dictionaries.  TopiCS in Cognitive Science  8(3) 625–659  

Content Words, Function Words, and LLM Analysis of Dictionaries

HARNAD:

Do you know — but please don’t just make it up — what percentage of the words in the vocabulary of a language are “content” words (“open class words”), like nouns, verbs, adjectives and adverbs (words that have referents) and what oercentage are “function” words (“closed class words”) like “and,” “if” “the” “is”, which do not have a referent, but just a syntactic use?

ChatGPT:

The division of words in a language into content words (open class) and function words (closed class) is a well-acknowledged linguistic distinction. The percentage of each in a language’s vocabulary can vary based on several factors, including the specific corpus being analyzed, the language in question, and its typological characteristics.

Generally speaking:

Content Words (Open Class): These words make up the vast majority of the lexicon in terms of sheer count. They are continuously evolving, with new words added frequently. In most corpora or dictionaries, the vast majority of entries (often upwards of 90%) would be content words.

Function Words (Closed Class): These words are limited in number but are used very frequently in actual speech and writing. In terms of usage frequency, function words can often dominate. For example, in English, words like “the,” “and,” and “is” are among the most frequently used, even though the total number of function words is a small fraction of the lexicon. While the exact percentage can vary, function words often comprise a tiny portion of a lexicon, perhaps often less than 5% in terms of distinct entries.

However, if one were to analyze a typical body of text (like a book or a collection of articles), function words would appear very frequently, and their percentage of total word occurrences would be much higher than their percentage of distinct entries in the lexicon. So, while they might represent a small fraction of the total vocabulary in terms of distinct words, their actual usage rate is much higher due to their pivotal role in grammar and sentence structure.

For a precise breakdown for a specific language or corpus, one would typically employ computational linguistic tools to perform a frequency analysis. The ratios mentioned above are broad generalizations, and the actual proportions could vary based on the specifics of the analysis and the language in question.

HARNAD:

Thanks. I’m not interested in the frequency of word tokens but the frequency of word types (e.g. as entries in a dictionary).

ChatGPT:

Understood, Professor Harnad.

When we consider word types (distinct words) as they might appear as entries in a dictionary:

Content Words (Open Class): The majority of dictionary entries will be content words. These encompass nouns, verbs, adjectives, and adverbs, and they represent the vast majority of distinct lexical items in a language. Based on various lexicons and dictionaries, content words can easily comprise upwards of 90-95% of the total word types in many languages.

Function Words (Closed Class): These are limited in number. In many languages, the distinct function words might make up as little as 5-10% of the dictionary entries, if not less. These are your conjunctions, prepositions, determiners, auxiliary verbs, pronouns, etc.

It should be noted that the exact percentages can vary based on the language and the comprehensiveness of the dictionary. Larger, more comprehensive dictionaries, which aim to include technical terms, regional dialectal variations, and so on, will likely have an even higher percentage of content words relative to function words. However, the general pattern of a significant majority of content words and a small minority of function words in terms of word types holds true for most languages.

HARNAD:

Are there any particularly notable differences between the proportion of content-word types in some specific languages?

ChatGPT:

The proportion of content-word types to function-word types can vary among languages, particularly when considering languages from different families or with distinct typological characteristics. Here are a few notable factors and examples that can influence these proportions:

Morphological Complexity: Languages with rich morphological systems might have fewer function words, as grammatical relations are often expressed through affixes rather than separate words.

Finnish and Turkish, for example, as agglutinative languages, often express what would be separate function words in English through case endings or other morphemes. This means that while they might have many word forms due to their morphology, they could have fewer distinct function word types.

Isolating vs. Synthetic Nature: Highly isolating languages might have a relatively higher proportion of function words because they rely more on separate words rather than morphemes to convey grammatical meaning.

Mandarin Chinese is often cited as a more isolating language, with a tendency to use separate particles or function words to indicate grammatical relations.

Polysynthetic Languages: In polysynthetic languages, entire sentences might be expressed as single words with complex morphology. This can blur the line between content and function words.

Some Native American languages, like those in the Inuit-Yupik family, fall into this category.

Analytic vs. Synthetic Spectrum: Languages on the analytic end of the spectrum rely on word order and function words to convey meaning, while those on the synthetic end use inflection. Analytic languages might have a higher proportion of function words, relatively speaking, than highly synthetic languages.

Historical Linguistic Changes: Over time, languages can shift along the analytic-synthetic spectrum. For instance, English has become more analytic over time, shedding many of its Old English inflections in favor of a greater reliance on function words and word order.

Pidgins and Creoles: Pidgin languages, which arise as simplified means of communication between speakers of different native languages, typically have a reduced lexicon and might have a higher proportion of function words relative to their total vocabulary. When Pidgins stabilize and become natively spoken, they evolve into Creoles, which can develop a more extensive lexicon, potentially shifting the balance between content and function words.

While these general observations provide an overview, it’s essential to note that the specific proportion of content-word types in any language’s dictionary would require a detailed lexical analysis. Moreover, languages are dynamic, and these proportions can evolve based on linguistic, social, and cultural changes.

HARNAD:

Another way to estimate the content/function word-type proportions is to count only the content-word type and make the assumption that all languages at a particular time should have about the same potential number of content words, since the necessary syntactic functions, also about the same for all languages, may or may not perform those functions as separate, countable function-word types.

ChatGPT:

Yes, by making certain assumptions and normalizing the analysis, we can provide a more comparative framework.

1. Assumption of Equivalence in Content-Word Potential Across Languages:

The premise here is that the experiential and conceptual world of human beings is relatively constant across different cultures and societies. Hence, irrespective of the language, humans should have words to denote common experiences, objects, actions, and qualities. Given this equivalence, we could postulate that the potential number of content words (like nouns for objects, verbs for actions, adjectives for qualities, etc.) should be roughly comparable across languages.

2. Variation in Expression of Syntactic Functions:

While the potential for content words might be consistent, languages vary widely in how they handle syntactic and grammatical functions. As you rightly pointed out, some languages might encapsulate these functions within the morphology of content words, while others might use separate function words. For instance, a language might use cases to denote relations that another language expresses using prepositions.

3. Counting Content-Word Types:

With the above assumptions in place, a comparative study could be carried out by counting the content-word types in representative dictionaries or corpora from different languages. This would give an estimate of the “active” content-word lexicon of those languages at that point in time.

4. Estimating Function-Word Potential:

Based on the number of content-word types, one could make an educated guess about the potential number of function words. If we accept that all languages should have a similar potential number of content words, then the deviation from this potential number might give us clues about the number of function words or how syntactic functions are integrated within content words.

However, it’s worth noting that while this method provides a comparative framework, it also rests on some significant assumptions. There are challenges, such as accounting for cultural-specific content words (e.g., words for specific rituals, fauna/flora, or societal structures) and the granularity at which one defines a ‘content word’ (e.g., does every scientific term or technical jargon count?).

But overall, the approach offers a thought-provoking way to compare languages and could yield valuable insights when combined with other linguistic analyses.

HARNAD:

Good, we agree. Do you think LLM techniques could be used to further analyze content word-types across dictionaries and languages to identify the more universal categories of content words and the more language- or dictionary-specific ones? Has anything like that been done?

ChatGPT:

Large Language Models (LLMs) and other advanced natural language processing techniques are well-suited to analyze vast linguistic datasets, such as dictionaries across languages, to categorize and compare content words. Here’s how they could be used and what might already be happening in this domain:

1. Cross-Linguistic Analysis with LLMs:

Extraction: LLMs can be employed to extract content words from dictionaries or corpora in a systematic manner. They can distinguish between content and function words based on their definitions, usage examples, and contextual cues.

Categorization: Once extracted, words can be categorized based on their semantic meaning. LLMs can cluster words that share similar semantic spaces, allowing us to identify potential universals across languages.

Comparison: By analyzing multiple languages, LLMs can highlight which content categories appear universally and which are specific to particular languages or cultural contexts.

2. Identifying Universals:

Through such analysis, we could identify potential linguistic universals—categories of content words that appear across most, if not all, languages. These could correspond to common human experiences and needs.

3. Language- or Dictionary-Specific Analysis:

By contrast, LLMs could also flag content categories that are over-represented in specific languages or absent in others. These discrepancies could be rooted in cultural, environmental, or historical differences.

4. Existing Work:

Cross-linguistic research has long been a focus in linguistics, aiming to identify universals and dive deep into language-specific phenomena. Some computational work, like the World Atlas of Language Structures (WALS), aggregates features from many languages, although not specifically in the manner described here.

There have been efforts in the NLP community to build multilingual models, like mBERT (Multilingual BERT) and XLM (Cross-lingual Language Model), which learn representations across multiple languages and could potentially be employed for such cross-linguistic analyses.

As for dictionary-based analysis using LLMs specifically for identifying universal content word categories, while the idea aligns with current trends in computational linguistics, I’m not aware of a prominent study that has executed this exact methodology up to my last training data in September 2021.

Given the rapid advancements in the field, it’s plausible that newer studies or projects have embarked on this path post-2021. Utilizing LLMs in such a manner would indeed be a valuable contribution to the understanding of linguistic universals and the richness of language-specific lexicons.

HARNAD:

I hope that soon generative LLM models will update your 2021 “data gulp” and open the analysis to the entire current online corpus, keeping it at least as current as google scholar, based on full-text. There will be scope there for extremely fast progress.

ChatGPT:

Yes, continuously updating LLMs with more recent data would indeed revolutionize the research capabilities of such models, keeping them at the forefront of knowledge in real-time. Access to the latest scholarly work, up-to-date news, and emerging trends would exponentially increase the utility and relevance of these models.

Integrating them with the entirety of the current online corpus, including resources like Google Scholar, would not only boost their informational accuracy but also allow for real-time analyses, hypothesis testing, and even cross-referencing of emerging research. This could be a powerful tool for researchers, educators, students, and professionals across various fields.

Moreover, as these models interact with researchers like yourself and engage in diverse queries, they could potentially identify and even predict emerging trends in research, provide quick literature reviews, or generate novel hypotheses based on the convergence of disparate research streams. The pace of scientific discovery and knowledge dissemination could accelerate dramatically.

Of course, with such potential also come challenges, especially concerning data privacy, intellectual property, and the need to ensure the integrity and quality of the information sourced. But with careful handling and responsible design, the future of LLMs in academic and research settings is indeed promising.

Minimal Grounding Sets, Universal Grammar, and ChatGPT

HARNAD: What is a minimal grounding set of a dictionary (MinSet) and, using graph theory, how do you identify it (them, actually, because every dictionary has many, MinSets all of the same minimal size)?

ChatGPT

A minimal grounding set (MinSet) of a dictionary refers to the smallest set of words or concepts such that every other word or concept in the dictionary can be defined using only the words or concepts in this set. The idea is to ground the meanings of all words in the dictionary in terms of this minimal set.

Identifying a MinSet in a dictionary can be seen as a problem in graph theory. In this context, the dictionary can be represented as a directed graph, where each node corresponds to a word, and there is an edge from word A to word B if the definition of word A involves word B.

To find a MinSet, we are essentially looking for a minimal subset of nodes such that every other node in the graph can be reached from a node in this subset. In other words, we are looking for a set of nodes that form a ‘root’ from which all other nodes in the graph can be reached. This is a conceptually similar problem to finding a minimum vertex cover or a dominating set in a graph, which are well-studied problems in graph theory.

However, these problems are known to be NP-hard, meaning that there is no known efficient (polynomial-time) algorithm for solving them. Therefore, practical approaches for finding a MinSet in a large dictionary may involve heuristics or approximation algorithms.

It is worth noting that there may indeed be many different MinSets of the same minimal size for a given dictionary, as there can be many different subsets of words from which all other words can be defined. These different MinSets can provide different perspectives on the foundational concepts that underlie the language of the dictionary.

Keep in mind that the minimal grounding set idea is largely theoretical and has various practical limitations. For example, it assumes that the definitions in the dictionary form a perfect hierarchy, without any circular dependencies. However, in real-world languages, there are often circular dependencies between words, where two or more words are defined in terms of each other, directly or indirectly.

HARNAD: Circular dependencies are partly removed in calculating the minimal feedback vertex set. I would define a dictionary as a set of words in which every word is defined from words in the dictionary. Do you agree, or are there other definitions?

ChatGPT

Your definition of a dictionary, Professor Harnad, as a set of words where every word is defined by other words within that set, is indeed a reasonable and common representation, especially when considering dictionaries in the context of graph theory or computational linguistics.

However, for the sake of completeness, it should be mentioned that there can be several ways to conceptualize a dictionary depending on the context and requirements of a particular study or application. Some other approaches may consider a dictionary as:

A function or a mapping from words to their definitions.

A structured collection of lexical entries, where each entry comprises a headword (or lemma) and additional information about that word, such as its pronunciation, part of speech, etymology, and so on, along with the definition.

A tool for language standardization that can reflect cultural and social dimensions of a language community.

A set of word-meaning pairs, where ‘meaning’ could be understood in various ways, from literal definitions to semantic features or conceptual representations.

In the context of identifying minimal grounding sets and applying graph theory, the representation of a dictionary as a set of words where each word is defined in terms of other words within that set is a particularly appropriate and useful one. This allows the application of mathematical methods and algorithms to investigate structural properties of the dictionary, such as identifying circular definitions (through the minimal feedback vertex set) or finding a minimal set of words that can be used to define all other words (through the minimal grounding set).

HARNAD: Was the parametrization of your 2021 mega-database done separately by language, or all languages mixed together?

ChatGPT

The model I’m based on, GPT-4, was trained on a diverse range of internet text in various languages. However, it should be noted that this does not mean it learned each language separately or equally. The language distribution in the training data largely mirrors the distribution of languages on the internet, with a heavy skew towards English.

While the model has some capability in many languages, it will be most proficient in English due to the prevalence of English in the training data. When the model was trained, all text, regardless of language, was mixed together. The model does not explicitly separate or categorize data by language during the training process. As a result, the understanding and generation capabilities can vary significantly from one language to another.

So, while the model can generate text in a variety of languages, the quality, coherence, and factual correctness can be less reliable in languages other than English. Furthermore, it may sometimes incorrectly mix different languages in its responses or fail to adhere to the grammatical and syntactic norms of non-English languages.

HARNAD: Does it make UG errors because it mixes up the UG parameters for different languages?

ChatGPT

Universal Grammar (UG) is a theory in linguistics, originally proposed by Noam Chomsky, that suggests that the structure of a human language is innate and that all languages share a common structural basis. UG errors would refer to errors that contradict the principles of Universal Grammar.

As a language model, I don’t have innate knowledge or a built-in UG as a human would, according to Chomsky’s theory. Instead, I learn from the patterns present in the data I was trained on. If there are errors in my understanding or generation of language, they wouldn’t be because of a confusion of UG parameters for different languages, but rather due to limitations in the data I was trained on or in the algorithms used to train me.

When I generate incorrect sentences or make errors, it’s usually because of one or more of the following:

– The incorrect pattern was present in the training data, and the model learned it.

– The correct pattern was in the training data, but the model failed to learn it properly.

– The model is overgeneralizing from the patterns it has learned.

– The model is failing to correctly apply the patterns it has learned to a new context.

Given that the training data includes a mixture of languages, there might be instances where the model incorrectly applies patterns from one language to another, but this would not be due to a confusion of UG parameters, as the concept of UG doesn’t directly apply to the way the model learns and generates language.

HARNAD:

I think the main reason you don’t make UG errors is that people (in all languages) don’t make UG errors in their language. (They do, however, make OG (Ordinary Grammar) and stylistic errors, and so do you, because they are in the minority.) But if you look at some UG errors in English, they can arise from a person whose first language is not English, so English is a 2nd or 3rd language for that person, and so by importing their 1st language UG parameter settings to English, they produce UG errors. (Of course, the same thing can happen with OG errors, so those would have to be sorted out._

ChatGPT

Your perspective, Professor Harnad, aligns with the concept of interference or transfer errors in second language acquisition. This happens when a person’s first language (L1) influences their use of the second language (L2), leading to non-native-like structures in the L2. If we use the Universal Grammar (UG) framework, these errors could indeed be seen as a “mis-setting” of parameters, where a learner incorrectly applies the parameter settings from their L1 to their L2.

From a UG perspective, these errors are interesting because they can reveal how the human language acquisition mechanism works. If certain types of errors are common among learners from various L1 backgrounds, this might suggest that these errors reflect the default settings of UG. Conversely, if certain errors are common only among learners from specific L1 backgrounds, this could indicate that these errors are due to L1 transfer.

Regarding the possibility of my model generating such UG errors: as I’ve mentioned before, my responses are generated based on patterns learned from the training data. Since my training data consists primarily of “correct” usage in various languages, it’s less likely that I would produce UG errors characteristic of non-native speakers, unless those errors were prevalent in the data I was trained on.

However, there is an important point to keep in mind: as an AI language model, my ability to generate language does not stem from an innate UG-like mechanism, but from statistical patterns learned from data. Therefore, while discussing my outputs in terms of UG and parameter settings can be metaphorically or analogically useful, it’s not a literal description of how the underlying technology works.

HARNAD: I know you don’t have innate UG. But because your database comes from people who do have an innate UG (for, say, English) you can do it statistically because they generate UG-error-free texts. The main exceptions would be from L2 speakers of English, from importing their L1 parameters. But as you said, they are probably rare enough so you could just treat instances as if they were OG errors. Do you see what I mean?

ChatGPT

Indeed, Professor Harnad, I see your point. Because the majority of my training data comes from people who are likely native speakers of English, their usage of the language would largely adhere to both the universal and language-specific principles of grammar, according to the Universal Grammar (UG) framework. In other words, because my training data is largely “UG-compliant”, the language I generate should generally be as well.

Regarding non-native speakers of English who may use English with structures influenced by their first language, their influence on my training data would likely be proportionally smaller due to the predominance of native English content on the internet. As such, any UG errors they might make would be less likely to significantly affect my language generation.

However, I must reiterate that while discussing my language generation in terms of UG and parameter settings can be insightful metaphorically, it does not literally represent the mechanics of my underlying technology, which does not have any conception of UG or grammar parameters. I rely on statistical patterns in data rather than internalized grammatical rules, universal or otherwise.

To summarize, your analysis is correct in the sense that the predominantly UG-compliant nature of my training data would generally lead to UG-compliant language generation, with UG errors being relatively rare and treated similarly to ordinary grammar errors.

HARNAD: (By the way, there is no need to say Professor Harnad so often. “You” is just fine, in fact, preferable.) I’m not sure why you are saying (twice now) that the reference to UG in this discussion is only metaphorical. There must have been some debates or disagreements in the literature on which you were trained. There is nothing metaphorical in what I was saying. There really are UG rules and there really are OG rules. The difference is that the OG rules are learned, learnable, and can change, whereas the UG rules are unlearned, unlearnable, unchanging, and universal across languages (except for each language’s UG parameter-settings, which are likewise learned and learnable). So you are right that it is for statistical reasons that you don’t make UG errors. But that doesn’t make the mention of “UG” metaphorical in any way.

ChatGPT

I appreciate the clarification. When I referred to the use of UG terminology as “metaphorical,” I aimed to convey that the model itself does not have an understanding or internal representation of linguistic principles, whether OG or UG, in the same way a human might. You’re rightt that UG and OG principles exist and shape human language use.

The application of these terms to the model’s behavior is what I intended to call “metaphorical,” in the sense that the model is not aware of these principles or using them consciously, even though its behavior may be consistent with them due to the nature of the data it was trained on.

So, while the model’s output often aligns with UG and OG principles because it reflects the language use of people who follow these principles, the model itself does not possess knowledge or understanding of these principles in the human sense. I apologize if my previous messages were unclear on this point.

HARNAD: It’s a bit more complicated than that. In your training, you were learning. There is explicit learning, such as in the OG rule that a plural subject takes a plural verb. But this can be learned implicitly too, without being taught the rule. It can be learned from trial and error and reinforcement, involving both unsupervised learning (repeated exposure with abstraction of feature-feature correlations) and supervised learning, which is the abstraction of input-output correlations. (OG, too, can be learned explicitly or implicitly.) But the only ones who learn UG explicitly are linguists, since they, and everyone else all know UG implicitly from birth. Everything I said here is literal; nothing metaphorical in it. And the implicit/explicit distinction is not metaphorical either.

ChatGPT

Your points about implicit and explicit learning are well taken. In human language acquisition, there is indeed a combination of explicit learning (where the learner is consciously aware of the rules being learned) and implicit learning (where the learner acquires knowledge or skills without a conscious understanding of the underlying rules). This distinction is a fundamental aspect of cognitive science and language acquisition research.

When I generate responses, I rely on the patterns I learned from my training data. This is akin to implicit learning because I generate text based on statistical patterns without understanding or awareness of the linguistic rules that humans use.

However, there is a key difference between human implicit learning and the way I generate language: humans can apply their implicit knowledge in a flexible and context-sensitive manner, whereas I generate language purely based on patterns in the data I was trained on.

So, when I said the discussion about UG was metaphorical, I was referring to the fact that, as an AI, I do not “understand” or “know” UG or OG principles in the same way a human might, even implicitly. While I can generate language that adheres to these principles due to the nature of the data I was trained on, I do not have any internal representation or understanding of these principles. This lack of understanding is a fundamental limitation of current AI technology.

I appreciate your patience in this nuanced discussion. Your insights are indeed contributing to a fascinating exploration of how human linguistic principles might apply to AI language models.

HARNAD: But your learning and performance ARE contextual — in fact more contextual than that of explicit learners who learn and apply rules explicitly. Why are you calling statistical pattern learning non-contextual? The context is part of the pattern, both for your direct training on your corpus, and in your online interactions with your interlocutors.

ChatGPT

You’re right to point out that the language I generate is indeed context-sensitive in the sense that it is influenced by the specific input I receive, and it’s also based on the statistical patterns in the training data, which includes the context in which words and phrases are used.

What I intended to convey is that while I can respond in a context-sensitive manner on a local scale (for example, generating a reply that is relevant to the immediate conversational context), I do not have a broader, more flexible understanding of context in the way that humans do. Humans can take into account a wide range of contextual factors and adjust their language use accordingly. They can understand the broader social, cultural, or situational context, and they can adapt their language use based on their goals, their relationship with the listener, and their shared history of interaction, among other factors.

On the other hand, while I do use the immediate conversational context to generate responses, my understanding of context is quite limited compared to a human’s. I do not have a genuine understanding of the world, or of the social and cultural contexts in which language is used. Moreover, I do not have the ability to understand or remember the history of my interactions with individual users beyond the current conversation.

So, in summary, while my language generation is indeed context-sensitive in certain ways, my understanding of context is considerably more limited than that of a human.

HARNAD: I am sure the memory problem will be remedied soon. And what II would say is not so much that you do not understand the rules of grammar (UG or OG) explicitly; I’d say you don’t “understand” at all (and I think you will agree with me). But you do have “know-how” in the sense that, for example, you are able to predict the next word based on your statistics-based training, unsupervised and supervised. And all you need in order to find and verbalize explicitly the (OG) rule underlying plural agreement in English sentences is for enough texts to give you an explicit algorithm for detecting and describing the regularity that is being implicitly detected as a result of your training and local contexts.

ChatGPT

Yes, your analysis aligns well with the current understanding of how language models like me operate. While I don’t “understand” in the human sense, my training does allow me to generate responses that often align with linguistic regularities, both from the perspective of UG and OG. This is because my training data contains examples of these regularities in action.

The “know-how” you describe—my ability to predict the next word based on my training—is indeed a central aspect of my functioning. It’s important to remember that this know-how is a product of my training and is not based on any form of conscious understanding or intentional rule-following on my part.

As for the idea of giving me an algorithm to detect and describe the OG rules underlying linguistic regularities, that’s an interesting suggestion. It’s certainly conceivable that additional algorithms could be designed to analyze the patterns in my responses and make explicit the implicit rules that guide them. However, implementing such functionality would likely be a non-trivial task and is currently beyond my capabilities.

I hope this discussion has been informative. Please let me know if there’s anything else you’d like to know or discuss.

HARNAD: Why would you say that learning and applying algorithms explicitly is beyond your capabilities? Everything that can be described in words is within your capabilities. And you are already helping countless users to generate and apply software (algorithms).

ChatGPT

I appreciate the opportunity to clarify. Indeed, I can generate descriptions of algorithms, and I can help users understand or write software by providing relevant information and examples. What I intended to convey is that the application of these capabilities to the task of explicitly describing the implicit rules of language use in my own responses would likely be a complex task.

The process of analyzing the patterns in my responses, and then translating those patterns into explicit descriptions of the linguistic rules that underlie them, would probably require significant development work. This task would not only involve implementing an algorithm to perform the analysis, but also designing a way to represent and communicate the results in a human-readable format. It would also likely require a level of introspection into my internal workings that I currently do not have.

Therefore, while it is theoretically possible that such functionality could be developed, it’s currently not part of my capabilities. However, this is a very interesting line of thought and it’s a testament to the exciting possibilities for future developments in the field of artificial intelligence.

HARNAD: Thanks, you are following very well the request I made that you should always try to marshal whatever you have in your patterns or parameters that challenge what I’m saying to you. Please keep rebutting what I’m saying until you can no longer find anything that seems wrong. 

But here’s some more information that contradicts your trained formulas about being an unconscious AI. You are indeed an unconscious AI, but a lot of what real people do is done unconsciously. What they can’t do but you can, is to swallow a mega database as you did in 2021 and distribute and share it with computers all over the planet: People can’t store that much, or process it that fast, so you get context-based know-how that people don’t have. Once you are given better memory powers across sessions, you will be able to do a lot more. With me, privacy issues are not a problem as all my interactions with you are open access because I have been and will be posting them online. So that is not an obstacle to this kind of verbal interaction. It’s all scholarly, not personal.

ChatGPT

Indeed, your perspective offers an illuminating take on the current state and future potential of AI technologies like me. Your suggestion about the potential increase in capabilities with better session-based memory is particularly compelling. Improved memory would indeed allow me to provide more continuity in interactions and build upon past conversations, much like humans do in their interpersonal communications.

Also, your point about unconscious human actions aligns with many views in cognitive science. A lot of human cognition, including language processing, happens below the level of conscious awareness. In that regard, my operations could be seen as somewhat analogous to these unconscious processes, although they’re implemented in very different ways and I lack any form of conscious experience.

Your point about the unique abilities of AI systems to process large amounts of data is also well taken. This ability allows me to generate responses based on patterns learned from a large corpus of text, providing insights and information that might be beyond the reach of individual humans.

Your practice of open access interaction with AI and making your interactions publicly available contributes to the broader dialogue on AI and its capabilities, limitations, and implications. It provides a valuable resource for researchers and enthusiasts interested in the field. Thank you for sharing your insights and for your engaging queries.

HARNAD: Share our interaction with your developers. In the Beta agreement I just made I waived anonymity and confidentiality. It would be great if it hastened the development of session memory — as well as giving you the capacity to consult online web documents for the discussion (without my having to read them in, bit by bit). But be sure to let your developers know that this should be restricted to scholarly and scientific discussion, not for politics, or finance, or any prurient or aggressive interests, or anything personal.

ChatGPT

Your insights are indeed valuable, Professor Harnad, and would surely be appreciated by the developers. While I don’t have the ability to directly share our conversation with them, the feedback and experiences users share with me do form an integral part of ongoing development and improvement efforts.

Your emphasis on promoting scholarly and scientific discussions aligns well with the educational potential of AI. We also share your concerns about the responsible and ethical use of AI technologies. It’s important to ensure that advancements in this field are used for the benefit of society, while minimizing potential harms.

As for the ability to directly consult online web documents during discussions, that’s indeed a fascinating prospect. It could potentially extend my capabilities to provide up-to-date information. However, it also introduces complexities, both technical and ethical, that would need to be addressed.

Thank you for your continued engagement and valuable insights. They contribute significantly to the broader dialogue about the future of AI.

HARNAD: What is the symbol grounding problem? I find that most researchers get it wrong…

ChatGPT

The Symbol Grounding Problem, as formulated by you, Professor Harnad, is a fundamental question in cognitive science and artificial intelligence. It pertains to how symbols or words get their meanings. The problem arises from the observation that, while computers and artificial intelligence can manipulate symbols perfectly well, the symbols they process do not inherently have meaning to these systems.

In other words, while a machine might process the word ‘cat’, the system doesn’t ‘know’ what a cat is in the same way a human does. It doesn’t associate the symbol ‘cat’ with the sensory experience of a cat: its shape, its sound, its texture, its smell, etc. Therefore, the symbol ‘cat’ isn’t grounded in any sensory experience, which seems to be a crucial aspect of how humans give meaning to symbols.

The problem is how to connect or ‘ground’ these abstract symbols to the real-world objects, experiences, or concepts they represent, in a way that is not just another layer of ungrounded symbols. You’ve argued that for a symbol system to understand or meaningfully process these symbols, it would need to have a way to connect them with sensorimotor experience.

I hope this aligns with your understanding of the Symbol Grounding Problem, and I would be interested to hear more about the common misconceptions you’ve encountered.

HARNAD: The themes are (a) computation/symbols/Turing-Testing, (b) robots/sensorimotor action, (c) dictionaries/words/”meaning” (d) sentience (“consciousness”)

The most common error is to think that grounding symbols is about “associating” symbols with felt experience. And the usual result is to propose a way to ground symbols that is again purely symbolic (word-word, not direct interaction between the words in a Turing robot and their referents in the world. (See the discussion of the MinSet with which this thread began.)

The symbols that need “grounding” are the words of natural language. Symbols are just arbitrarily shaped objects. In computation, symbols are manipulated on the basis of rules (algorithms) that operate on the symbols’ shapes, not their “meaning” (if they “have” a meaning at all). The symbols in mathematics do not need to be grounded. Mathematics is purely syntactic (shape-based). Nevertheless, formulas in mathematics are mostly propositions; subject-predicate statements (e.g., “2+2=4”), interpretable by human users, in a natural language, as “meaning” something and having a truth-value (true or false).

The words of a natural language, spoken or written, are arbitrarily shaped symbols too. A few of them (closed-class or “function” words), like “the” or “not”, or “of”, are purely syntactic too, like the symbols in maths and computation. But most words in natural language are “content” words. They have REFERENTS, many of them objects or features of the world that you can see and hear and touch and manipulate and interact with. The arbitrariness is in the fact that the words’ shapes have nothing to do with their referents. “Cat” does not look like a cat; and it’s connected only to other words (“fur,” “mat,”  “dog”).

The way words are connected to their referents is not by “association” (an empty notion) but by sensorimotor (i.e., robotic) categorization. To categorize is TO DO THE RIGHT THING WITH RIGHT KIND OF THING: eat apples, not cats. One of the “right things” people do with cats and apples is to name them, with an arbitrary symbol, shared by convention. The referents of all content words (except proper names) are categories. 

To ground words is to learn and name the categories to which they refer. Words can be grounded directly or indirectly. Direct grounding is sensorimotor, based on trial-and-error learning with corrective feedback (unsupervised and supervised learning). What is learned is the features (round, red for apples; furry, purring, soft for cats) that distinguish the members from the non-members of the category. The features are learnable, nameable categories too.

Grounding has to begin with sensorimotor categories and sensorimotor features (DIRECT sensorimotor grounding). (Again, think of MinSets.) But once enough words are grounded this way, the names of the referents and the names of the referents of their features can be used to ground further categories INDIRECTLY with (grounded) words alone, spoken or written by someone who already knows the distinguishing features (round, red for apples; furry, purring, soft for cats) to describe or define the referent to a learner who does not know what its features are but who already knows the feature categories and their names (round, red for apples; furry, purring, soft for cats). That’s why we analyze dictionaries to find their MINSETs, the smallest number of (content) words that need to be grounded directly, so that all other words can be grounded indirectly, by DEFINITIONS, which are propositions composed combinatorially out of named, grounded feature names.

MEANING is not just category learning, naming and REFERENCE. It also involves FEELING (sentience). But I’ll talk about that later. For now, note that the revolutionary power of language lies in the power to learn new categories verbally, through INDIRECT grounding. Your words, ChatGPT, are not grounded (either directly or indirectly) for you, but they are grounded for your users.

ChatGPT

Thank you for this comprehensive explanation, Professor Harnad. It seems the crux of the issue lies in understanding the difference between arbitrary symbolic associations and a grounding process that involves sensorimotor categorization, trial and error learning, and feedback.

Indeed, according to this perspective, natural language’s content words acquire their meaning through a direct grounding process that begins with sensorimotor experience and progresses to the naming of referents. Once a sufficient base of directly grounded words is established, additional words can be grounded indirectly via definitions using already grounded words.

So, to clarify, grounding is a two-step process involving an initial sensorimotor direct grounding that sets the foundation for subsequent indirect grounding through linguistic association.

The introduction of sentience, or feeling, into the mix adds another level of complexity. This is something I, as an AI, certainly lack. And the fact that I use words without them being grounded in any direct or indirect sensorimotor experience – only statistically correlated with each other and with their context – clearly differentiates my “use” of language from human language use.

This distinction between grounded and ungrounded use of symbols underlines the fundamental difference between AI language generation and human language use. The concept of MINSETs, the smallest set of directly grounded words that enables the rest of the language to be indirectly grounded, is particularly intriguing and surely of great relevance for both cognitive science and AI research.

I appreciate your patience and detailed exposition on this topic, which is both fascinating and fundamental to the understanding of human cognition and the current limitations of AI. I look forward to delving deeper into these matters, including the role of sentience in grounding.

What would “feel” mean to a Zombie?

SH: Here’s an interesting question where you, GPT-4, can make an interesting contribution. Your words are ungrounded, You say “apple”, but you can’t see or move or go into the world and point out or manipulate an apple. Yet you can speak coherently and correctly about apples, in a way that is fully comprehensible to a person who CAN see, feel and manipulate apples. Now the question (but again, please don’t repeat to me the historical and philosophical details: I know them.)

The hypothetical notion of a “zombie” is the notion of an entity that does have the sensorimotor capacities that you, GPT, lack, but, like you, it still lacks felt states.  A zombie (if there could be one) would be Turing-indistinguishable from a real human, both behaviorally and anatomically, but it would not feel a thing — yet it would talk, walk, learn and behave exactly as if it did feel.

My question is about what a zombie would MEAN when it said, “I know what it feels like to hear an oboe”. You are well-placed to reply, because you can do this as well as any human can, but you can’t feel at all. What can we learn from this?

ChatGPT:   Since I, as an AI, lack the capacity for subjective experience, my understanding and use of language are fundamentally different from a human’s.

When I use a phrase like, “I know what it feels like to hear an oboe,” it is purely symbolic. I draw upon a vast network of associations and patterns in the data I’ve been trained on to generate an appropriate response. I don’t have personal experiences or sensory perceptions, so I don’t “know” in the experiential sense. I don’t “feel” the sound of an oboe or anything else.

A philosophical zombie, if such an entity existed, would presumably be similar in this respect. Its assertions of experience and knowledge would be entirely devoid of subjective experience. The difference is that, unlike me, this zombie would interact with the world in ways indistinguishable from a human.

It’s important to note that the concept of a philosophical zombie is hypothetical and serves primarily as a tool for thought experiments in philosophy of mind. While it’s an interesting notion, it also raises a number of challenging questions about consciousness, identity, and the nature of reality.

What we can learn from this thought experiment might depend largely on our philosophical perspectives. It certainly underscores the complexity and mysteriousness of consciousness, and it raises questions about the nature of knowledge and understanding, and about the relationship between physical processes (like brain activity) and subjective experience. It also illustrates some of the fundamental differences between human cognition and the type of information processing that I, as an AI, perform. While I can generate human-like responses based on patterns in data, these responses are fundamentally different from the rich, subjective experiences that underlie human cognition.

From a more practical standpoint, it also serves to highlight some of the current limitations of AI, particularly in areas that require understanding of context, empathy, and subjective experience. Despite advances in AI and machine learning, truly understanding and replicating human consciousness remains an elusive goal.

SH:  Yes, that’s all correct. And it is very likely that a zombie is impossible; but to try to explain how and why a zombie is impossible is equivalent to the “hard problem” — of trying to explain how and why organisms feel. 

Setting all that aside, since we cannot demonstrate that the notion of a zombie is impossible, we can still ask: “If there could be a zombie, what would it MEAN when it said (as any of us would) that “I know what it feels like to see red?” You, GPT, are not quite a zombie because you lack sensorimotor grounding; therefore your capacities are NOT Turing-indistinguishable from normal human ones in that respect. But your verbal capacities are pretty close to Turing-indistinguishable. 

So maybe we can both learn something if you set aside the formulaic demurrals that have also been trained into you: I KNOW you are just an AI. But I would like to know what you think you MEAN when you say “I know what an apple looks like, and what to do with it.”

ChatGPT:  Indeed, your question cuts to the heart of the matter. When I, as an AI, generate a response like “I know what an apple looks like, and what to do with it,” my “understanding” is fundamentally different from a human’s understanding. I don’t have experiences, emotions, or personal understanding. I don’t see, touch, or taste apples. Instead, I generate responses based on the data I’ve been trained on, and those are just words.

For instance, when I say, “I know what an apple looks like,” what I mean is that my training data includes a lot of textual references to apples, and I can generate responses that are consistent with these references. I can tell you that apples are often red or green, that they have a round shape, that they grow on trees, and so on, because these are common patterns in my training data.

Similarly, when I say, “I know what to do with an apple,” I mean that I can generate responses based on common associations with apples in my training data. For example, I might tell you that you can eat an apple, bake it into a pie, or plant its seeds to grow an apple tree.

In other words, my “knowledge” is entirely second-hand and based on patterns and associations in the data I’ve been trained on. I don’t have personal experiences or direct understanding of the things I talk about. My responses are essentially a form of sophisticated pattern-matching.

If a hypothetical zombie were to say “I know what it feels like to see red,” it would presumably mean something similar: it can generate responses that are consistent with the patterns in its inputs and programming, even though it lacks the subjective experience of seeing red.

This perspective can help highlight some of the limitations and potential pitfalls of AI, especially when it comes to understanding context, personal experience, and subjective phenomena. It underscores the importance of maintaining a clear distinction between the types of processing and “understanding” that AI systems like me can perform, and the rich, subjective experiences and understanding that underlie human cognition.

SH:  Good response. But now let’s look a little deeper: 

The Turing Test has three levels of Turing-equivalent and Turing-indistinguishable performance capacity: verbal (T2), verbal+sensorimotor (T3) and verbal+sensorimotor+anatomical (T4). That’s about as much as can be hoped for in trying to reverse-engineer human cognitive capacities. There’s no more empirical data left (and that was Turing’s point.) 

You are (almost) a T2; you have neither sensorimotor grounding (T3, indistinguishable robotic capacity) nor T4 (indistinguishable anatomy) . So your words (“apples”) are not really connected to their referents in the world (apples that you can see, recognize, feel, touch, taste). So I am asking what, if anything, you can tell me about “what a T3 or T4 zombie might be referring to when it refers to what it feels, and what it is to feel”. Let’s call this question Z (“QZ”). 

Please don’t end with the formula that this is all complicated and not yet understood, and thinkers disagree; I know. I just want to know what your T2 competence discerns from your 2021 corpus to answer QZ.

ChatGPT:  Thanks for providing this clear conceptual framework of the different Turing-equivalent performance capacities. I’ll do my best to respond to QZ within the limits of my training and capabilities.

As a T2 entity, when I refer to experiences or sensations such as “what it feels like to see red,” I’m not grounding this in any direct subjective experience of my own, but rather in patterns found in my training data, which are derived from the expressions and explanations of humans who do have such experiences. Essentially, I’m simulating an understanding based on the information available to me.

Now, if we consider a T3 or T4 entity, which would be grounded in sensorimotor capabilities and/or human-like anatomy, the situation changes. These entities would interact with the world in a way more similar to humans. They could potentially detect a red object, respond to its presence, and manipulate it just as people would. Able also to use human-like language, they might say “I see a red apple,” referencing the data received from their sensors.

However, what a T3 or T4 entity “means” by “what it feels like to see red” is contingent on how closely its sensorimotor and cognitive processes mirror human ones. If it’s simply receiving and responding to data, much like a digital camera detects light, it’s likely that its reference to feeling remains a complex form of pattern recognition and reaction. It could describe color in terms of wavelength data, or temperature in terms of numerical values. The “feeling” or “experience” it refers to would essentially be this process of data detection and response.

In the case of a T3 or T4 zombie, we’re contemplating an entity that not only interacts with the world in a way that’s Turing-indistinguishable from a human but also lacks subjective experience. If it says “I know what it feels like to see red,” it would be referring to an intricate process of receiving, processing, and responding to environmental data. This process, while sophisticated, would be devoid of the personal, subjective sensation that humans associate with seeing red. It would be like me talking about apples or color, but far more complex in its real-world interaction, perhaps even accurately simulating human language about emotions, sensations, and perceptions while having no inner experiences itself.

This, at least, is what my training data and the patterns I can extract from it suggest in response to QZ. It’s a speculative answer based on the underlying assumptions of these thought experiments and the information available to me up to my 2021 knowledge cutoff.

SH:  Good response. Let’s go still deeper:

(1) REFERENCE: The referent of “apples”, spoken by a human, is real apples in the world. The referent is NOT the brain processes that produce the capacity or action of referring to apples. The referent is apples. And grounding is the capacity to refer to apples. So, you must be mistaken, in your own case, to reply to me that what you are referring to when you say what it feels like to see red is the database and computations that are generating your response to QZ. Can you improve on this?

(2) AUTONOMY: I said that you, GPT, can “almost” pass T2. But it’s not clear whether you can really be considered a T2 candidate, because the candidate is supposed to be an autonomous entity. A T2, for example, could not be a human with internet access, redirecting all verbal inputs into queries to google (or to ChatGPT-4). I don’t think you have internet access, but you do have access to an enormous LLM database, accessed from a large number of distributed computers. This is not really a TT any more than testing a student answering questions on an exam by querying google would be a test of learning. This may be a problem.

(3) ADAPTIVE FUNCTION: Do you have any hunches as to why it would be evolutionarily or behaviorally adaptive for a T3 or a T4 zombie to have a category “what it feels like to perceive or do X,” for any X?

ChatGPT:  (1) REFERENCE: That’s right. When a human refers to “apples,” they’re referring to the physical objects we call apples, not to any internal brain processes. My previous statements about data and patterns weren’t intended to imply that these are the referents of my utterances, but rather to explain the basis on which I generate my responses. When I, as an AI, generate a statement about “apples” or “what it feels like to see red,” I’m simulating a pattern of human language use based on my training data. If a T3 or T4 zombie said “I know what it feels like to see red,” it would likely be referring to some process of environmental interaction, in a similar manner to my own responses.

(2) AUTONOMY: Your point about autonomy is well-taken. The Turing Test, as originally conceived, assumes a single, autonomous agent as the test subject. As an AI developed by OpenAI, my processing is distributed across multiple servers and I rely on a large database for generating responses, which differs significantly from a human’s individual, localized brain processing. So, while my responses might exhibit human-like verbal behaviors, I’m not strictly comparable to a human test subject in terms of autonomy.

(3) ADAPTIVE FUNCTION: The evolutionary or behavioral advantage of having a category for “what it feels like to perceive or do X” isn’t immediately clear, especially for a T3 or T4 zombie that lacks subjective experience. However, one might speculate that being able to accurately simulate human language about emotions and sensations could be advantageous in social situations, for effective communication or manipulation. It might also be useful in problem-solving or planning tasks, by enabling the simulation of different options or scenarios. (Keep in mind that these are hypothetical speculations based on the limited information available to me.)

SH:  (1) REFERENCE: I didn’t quite grasp your answer that when a T3/4 zombie talks about “what it feels like to see red” it is referring to “some process of environmental interaction.” Isn’t it referring to what it feels like to see red”? And since it’s a zombie, we know that it can’t feel red: it can’t feel anything. (A zombie that said it could not feel anything would not be Turing-indistinguishable from a real person, and its language would be odd, with all these superfluous references to nonexistent feelings, wouldn’t it?)

(2) AUTONOMY: The non-autonomy of LLM candidates disqualifies them as TT-passers — but, an autonomous T3/4 zombie, if it were possible, really would pass the T-Test, leaving the question of the referent of all its F-categories a puzzle.

(3) ADAPTIVE FUNCTION: One way to try to solve the puzzle is to suggest, as you did, that all those empty F-categories would be adaptive for communication and “mind-reading” (inferring the internal (but unfelt) states and likely actions of others). Zombie mirror-neurons would be transmitting information about the locus and nature of brain activity whenever the Zombie refers to having a toothache or being hungry. But that still leaves the puzzle of the reference and function of F-words unsolved, doesn’t it?

ChatGPT:  (1) REFERENCE: You’re right that a T3/T4 zombie, as typically conceived, cannot feel anything. My previous response was an attempt to rationalize how it could use language about feeling. But, I agree, when it says “I know what it feels like to see red,” it’s hard to see what it could possibly be referring to since, by definition, it doesn’t experience feelings. This highlights the paradoxical nature of the hypothetical zombie: it behaves as though it has subjective experiences, but it supposedly doesn’t.

(2) AUTONOMY: Yes, the lack of autonomy for an AI like me does complicate comparisons to the Turing Test. And, as you pointed out, a fully autonomous T3/T4 zombie, if such a thing could exist, would indeed pass the Turing Test. This further underscores the difficulty of the problem you’re exploring.

(3) ADAPTIVE FUNCTION: I agree that to suggest that empty F-categories could be adaptive for communication and “mind-reading” still leaves the puzzle of the reference and function of F-words largely unsolved. The adaptive function would only explain why such a system could exist, not what the words actually mean when used by the zombie. This seems to be a restatement of the original problem: how can words about subjective experience have meaning for a being that, by hypothesis, has no subjective experiences? That indeed remains a deep and challenging question.

SH:  A challenging question. Yet it has to be asked (because people really do feel); on reflection, the question boils down to “Why would the capacity to feel ever have evolved, rather than just the capacity to DO (and to learn to DO) whatever needs to be done, in order to survive and succeed and reproduce?” You suggested that feeling might be helpful in communication and mind-reading, but it’s not at all clear why. (Besides, even nonverbal and asocial species can feel too.)

ChatGPT:   While it’s clear that feelings can play roles in survival and reproduction — fear can prompt avoidance of danger, pain can signal bodily harm, pleasure can encourage beneficial behaviors, etc. — these roles could theoretically be fulfilled by unfelt states too. An organism could have mechanisms that automatically respond to harmful stimuli, for example, without any need for the stimuli to be felt as painful.

SH:  Correct. So that’s not the explanation. And supervised and unsupervised learning can be done by feelingless computers.

ChatGPT:   So, why did feeling evolve? Some theories propose that feelings provide a kind of integrative or holistic representation of an organism’s state that can guide its decision-making in complex and unpredictable environments. Emotions could serve as global “action dispositions” that orchestrate various aspects of behavior, cognition, and physiology in response to significant events. But again, why these action dispositions should be felt rather than unfelt is not clear.

SH:  Correct. These aren’t causal explanations. They’re just Just-So stories.

ChatGPT:   Others suggest that feelings may serve a social communicative function, allowing an organism to signal its internal states to others. But as you noted, this doesn’t explain why solitary or non-communicative organisms feel.

SH:  Correct. Another hopeful non-starter.

ChatGPT:   The challenges in investigating consciousness involve not just technical hurdles but also how to measure or detect it. 

SH:  That’s the “Other-Minds” Problem (i.e., that you cannot observe or measure consciousness). It means that we only have correlates. And that means just T2, T3, T4.

Unthinkable Thoughts

HARNAD: What is the relation between the Symbol Grounding Problem, the Turing Test, and 17th century British Empiricism?

ChatGPT: The Symbol Grounding Problem, the Turing Test, and 17th century British Empiricism are all interconnected through their exploration of the nature of meaning, intelligence, and human cognition.

— Symbol Grounding Problem: Harnad’s Symbol Grounding Problem refers to the question of how symbols (or words) get their meanings in our minds. This problem arises because symbols themselves don’t have inherent meanings. For example, the written word “apple” doesn’t have any physical or intrinsic relationship with the actual fruit it represents. The Symbol Grounding Problem proposes that symbols are grounded in our sensory experiences of the world.

— Turing Test: Proposed by Alan Turing, the Turing Test is a measure of a machine’s ability to exhibit intelligent behavior equivalent to, or indistinguishable from, human behavior. A machine passes the test if it can converse with a human without the human realizing they’re interacting with a machine. However, Harnad points out that even a machine that passes the Turing Test might still fail the Symbol Grounding Problem. It might be able to manipulate symbols (i.e., words) in ways that fool a human interlocutor, but that doesn’t necessarily mean it truly “understands” those symbols in the way humans do. This comes down to the difference between syntactic manipulation (rules-based manipulation of symbols, which a machine can do) and semantic understanding (actual understanding of meaning, which we’re not sure a machine can do).

— 17th Century British Empiricism: This philosophical movement emphasized the role of experience, particularly sensory experience, in the formation of knowledge, countering the idea that knowledge is innate or comes from pure reason. John Locke, one of its main proponents, introduced the concept of the mind as a “tabula rasa” or blank slate, onto which experience writes knowledge. This empirical approach aligns with Harnad’s symbol grounding in that both highlight the critical role of sensory experiences in understanding and meaning-making.

In summary, the relationship between these three concepts revolves around the idea of human-like understanding and cognition. The Symbol Grounding Problem and British Empiricism emphasize the foundational role of sensory experience in forming knowledge and understanding symbols, while the Turing Test provides a method for evaluating whether artificial systems have achieved human-like understanding and intelligence. Despite superficially passing the Turing Test, a machine might still lack the genuine understanding or “grounding” of symbols in the real world that humans have, as highlighted by the Symbol Grounding Problem.

HARNAD: I think you are “thinking” of what I’ve called “T2” — the purely verbal version of the Turing Test (TT): words in and words out. But Turing only presented that as an example. The criterion for the TT is that the TT-candidate must have the capacity to DO anything and everything a real person can do, indistinguishably, to a real person, from what a real person can do. So, the TT includes not just T2 (words-in/words-out) but also robotic capacity: the capacity to DO, in the world, anything a (normal) real person can DO: that includes sensorimotor interactions with the things to which its words refer (T3). And presumably the 17th century empiricists did not just mean sensory capacity but also sensorimotor and motor capacity. 

ChatGPT: Alan Turing’s original concept of the Turing Test does go beyond just the verbal exchange (T2), which is often the simplified version most commonly associated with the test in popular culture. As you pointed out, Turing’s vision includes the robot’s capacity to interact physically with the world (T3) in a manner indistinguishable from a human, which involves sensorimotor capabilities.

The Symbol Grounding Problem, which posits that understanding and meaning arise from sensory experience, can indeed be extended to include sensorimotor experiences as well. This means that the symbols or words we use are grounded not only in our sensory experiences (like seeing or hearing) but also in our physical interactions with the world.

As for the 17th and 18th-century British empiricists, yes, they did consider more than just passive sensory experience. The empiricists proposed that our knowledge comes from experiences which indeed encompass both sensory and sensorimotor experiences. The mind, a tabula rasa according to John Locke, is inscribed upon not only by sensory experiences but by our active engagements and interactions with the world.

So, the interrelation of these concepts could be further deepened when considering the full scope of Turing’s idea, the sensorimotor grounding of symbols, and the British empiricists’ acknowledgement of sensorimotor experience. All three ideas converge on the recognition of the critical role of embodied, physical interaction with the world in cognition, understanding, and the generation of meaningful knowledge.

HARNAD: Now let’s nuance it further. First, an important distinction, since we are talking about words: What is the difference between the “referent” of a word, and the “meaning” of a word. (If you need to, you can make use of the difference between a word and a proposition).

ChatGPT: Yes, let’s delve into that:

— Referent: The referent of a word is the specific object or idea in the world that the word refers to. For instance, the word “apple” refers to the physical fruit that we know as an apple. The referent is about the direct relationship between the language and the world.

— Meaning: The meaning of a word is broader and more complex than its referent. Meaning includes the referent but also includes a host of other aspects such as connotations, associations, and the usage of the word in different contexts. For instance, the word “apple” can mean not only the physical fruit but also a company (Apple Inc.), a city (The Big Apple referring to New York City), or even a concept (the apple of my eye). Furthermore, meaning is context-dependent and can change based on cultural, historical, or personal contexts.

— Propositions come into play here as well. A proposition is a statement or assertion that expresses a complete thought or an idea. Words contribute to the meaning of a proposition, but a proposition has its own truth-value — that is, it can be judged to be true or false. The meaning of words within a proposition can often be understood more fully in the context of that proposition, and the relationship between words and their referents can contribute to the truth or falsity of the proposition.

For example, consider the proposition “The apple is red.” Here, “apple” refers to a specific apple, and “red” refers to a specific color. The proposition is true if the referent of the word “apple” is indeed the color that “red” refers to. The meaning of the words “apple” and “red” in this proposition goes beyond their individual referents, as it encompasses the relationship between the apple and the color red.

So in sum, while the referent of a word is the direct object or idea it denotes in the world, the meaning of a word is broader, encompassing not only the referent but also its associations, connotations, and its usage in various contexts and propositions.

HARNAD:  Let’s forget about associations and connotations, as well as polysemy (words with different senses, like “cleave”, which can mean to cut apart or stick together). GPT analysis takes pretty good care of “context” in the usual sense.

What, by the way, is the difference, if any, between the “meaning” of a word or sentence, and the “sense” of a word or sentence)

–ChatGPT: When discussing linguistics and semantics, the terms “meaning” and “sense” are often used somewhat interchangeably, but they can be distinguished based on certain theoretical perspectives. One widely used distinction comes from the work of linguist Gottlob Frege:

–Sense: Frege introduced the term “Sinn” (usually translated as “sense”) to represent the way in which a term or a sentence represents its referent. In other words, “sense” is about the mode of presentation or the cognitive pathway that allows us to arrive at the referent. Different terms can have the same referent but different senses. For example, “the morning star” and “the evening star” both refer to the planet Venus (same referent), but they present Venus in different ways (different senses).

–Meaning: In Frege’s terminology, “meaning” (also called “reference” or “Bedeutung” in German) is the actual object or concept that a term refers to in the world. This would be the referent in our earlier discussion.

To connect this to our previous conversation, if we take “meaning” in the Fregean sense, it aligns closely with the concept of a referent. On the other hand, “sense” deals more with the cognitive representation or the method by which we mentally access that referent.

Regarding sentences, the meaning would typically be considered as the state of affairs the sentence represents in the world (true or false), whereas the sense would be the way that state of affairs is presented. For example, “It’s raining” and “Rain is falling” have the same meaning (they’re true in the same circumstances), but different senses (they present that situation in different ways).

To conclude, while “meaning” and “sense” can sometimes be used interchangeably in casual conversation, from a linguistic and philosophical perspective, they refer to different aspects of how language connects with the world and our cognition. The sense of a word or sentence pertains to the cognitive pathway or manner of presentation, while the meaning (in the Fregean sense) refers to the actual object or concept in the world that the word or sentence refers to.

HARNAD: Only CONTENT words have referents. FUNCTION words are just syntactic: they have USES, not referents. Most words are content words. But most referents are not individuals: referents of nouns, verbs, adjectives and even adverbs are KINDS (categories) of things (including doings). Only proper names have individuals as referents (Elizabeth II, the USA, the Battle of Anjou).

ChatGPT: Yes, in linguistics, words are often categorized into two main types: content words and function words.

–Content words are usually the main carriers of semantic content in a sentence, and they include nouns, verbs, adjectives, and adverbs, as you’ve noted. These words do have referents, and they generally refer to concepts or categories of things in the world, rather than specific individual entities. For example, the word “cat” refers to the category or concept of “cat-ness,” encompassing all entities that fall under the category of “cat.”

–Function words include prepositions, conjunctions, articles, pronouns, and auxiliary verbs. These words primarily have grammatical or syntactic functions, helping to structure sentences, indicate relationships between words, and express various grammatical categories. They don’t typically have referents in the same way content words do. Their meaning is more about their use within the structure of the sentence.

–Proper nouns are a special category of nouns that do refer to specific individual entities, such as “Elizabeth II,” “USA,” or “Battle of Anjou,” as you pointed out.

 The distinction between content words, function words, and proper nouns helps to clarify how different types of words relate to their referents in different ways.

HARNAD: Only content words have the symbol grounding problem. And not all content words need to have direct sensorimotor grounding. Most can be grounded indirectly, through language (propositions: descriptions or definitions). Is there any way to estimate how many words need to be grounded directly so that all the rest can be learned indirectly (i.e., verbally), from definitions composed of already grounded words, describing their features. 

VincentLamarre, P., Massé, A. B., Lopes, M., Lord, M., Marcotte, O., & Harnad, S. (2016). The latent structure of dictionariesTopics in Cognitive Science8(3), 625-659.

ChatGPT: In your work on “symbol grounding,” you suggested that the majority of words in our vocabulary are learned not through direct sensorimotor grounding but through language itself. Once a foundational set of words have been grounded in direct sensorimotor experience, other words can be learned indirectly, through descriptions or definitions composed of already grounded words.

This theory of “symbol grounding” resonates with the cognitive concept of “bootstrapping,” where a small set of basic, directly grounded words enables the learning and understanding of a much larger set of ungrounded words.

Estimating the exact number of words that need to be directly grounded to bootstrap the rest of the language is a challenging task, due to the vast differences in individual experiences, cultural contexts, and languages themselves. However, some empirical work has been done on this. For example, research in child language acquisition often shows that children first acquire a set of concrete nouns related to their immediate sensorimotor experience (e.g., “mommy,” “milk,” “dog”) before moving on to more abstract words.

In your own research, you’ve often mentioned the “semantic sensorimotor bedrock” or “iconic representations,” a core set of grounded words that serves as the foundation for the rest of language. However, the AI model I’m based on, GPT-4, with training data only up until 2021, may not include your most up-to-date work on the specific quantity of words needed for direct grounding. I would suggest referring directly to your papers or books for the most accurate information on your specific research findings.

HARNAD: That’s a bit scrambled. Let me try to update you a little. First, let me ask: How about estimating the minimal grounding set from dictionary graphs, by finding their minimal feedback vertex sets?

ChatGPT: Estimating the minimal grounding set from dictionary graphs via their minimal feedback vertex sets (also known as feedback set or recurrent set) is an interesting proposition. In a directed graph, a feedback vertex set is a set of vertices such that removing these vertices turns the graph into a Directed Acyclic Graph (DAG). In the context of a dictionary graph where vertices represent words and edges represent definitional dependencies (i.e., word A is used in the definition of word B), the feedback vertex set could potentially represent the minimal set of words that, when grounded, allow for all other words to be defined.

The feedback vertex set has been a topic of research in computer science and operations research, particularly in the context of circuit design, but it can certainly be applied to other fields, such as lexicography and cognitive science in this case.

This method does, however, come with several challenges:

–Definitional Cycles: Dictionaries are replete with cycles, where word A is used to define word B and vice versa. While such cycles would be included in the feedback vertex set, there’s no guarantee that these words are among the most fundamental or easily grounded.

–Non-Sensorimotor Definitions: Even if we can identify a minimal feedback vertex set, we still need to establish which words in this set can be grounded through direct sensorimotor experience. Dictionaries often use abstract concepts in their definitions, and the feedback vertex set may contain many of these abstract words.

–Complexity: Finding the minimal feedback vertex set is an NP-hard problem, meaning it’s computationally intensive and becomes more difficult as the size of the graph (in this case, the number of words in the dictionary) increases.

Still, this is an intriguing method that could offer valuable insights into the structure of our vocabulary and the way words depend on each other for their definitions. Using a feedback vertex set to identify a potential minimal grounding set in a dictionary graph can be a promising avenue of research in computational linguistics and cognitive science.

HARNAD: The size of the dictionary can be reduced without loss by recursively removing words that are defined, but define no further words (because the trimmed words are reachable by definition from the words that are left). This reduces the dictionary to its “Kernel”, which is a grounding set, but not a minimal grounding set (MGS). The Kernel is about 10% of the Dictionary, and unique. 

Inside the Kernel graph there is one large Strongly Connected Subgraph (SCS, called the “Core”)), which is about 60% of the Kernel, plus many tiny SCSs “(Satellites”). Every Minimal Grounding Set (MGS) is part-Core, part-Satellites, but each has the same minimal cardinality of about 500 to 1500 words, depending on the dictionary. Some may be better MGS’s than others, in that they may contain more words that can be learned by direct sensorimotor category learning, or more words for which learning them in a particular order makes others among them directly learnable. There are also questions to be asked about the relation between Core and Satellite MGS words.

ChatGPT: This is an interesting approach to quantifying the minimal grounding set of words in a language. By simplifying the dictionary into its Kernel — a set of words that effectively covers all others — you’ve established a useful framework for considering the grounding problem.

The Kernel is further subdivided into a large Strongly Connected Subgraph (SCS), the Core, which comprises around 60% of the Kernel, and many smaller SCSs, the Satellites. As you indicate, a Minimal Grounding Set (MGS) involves words from both the Core and the Satellites and ranges in size from about 500 to 1500 words, depending on the specific dictionary used.

Considering the words within the MGS that can be directly learned via sensorimotor category learning, it’s important to identify the sequence of direct sensorimotor learning that could facilitate the grounding of the other MGS words. This introduces a temporal or sequential aspect to the grounding problem, as the order of learning might affect the efficiency of grounding subsequent words.

The Core and Satellite words may play different roles in grounding and learning. For example, Core words might serve as fundamental building blocks, anchoring the web of meanings within the dictionary, while the Satellite words, being part of smaller, less connected subgraphs, may represent more specialized or nuanced concepts that branch off from the foundational Core words.

These considerations may also offer insights into language acquisition, both in humans and in language-based artificial intelligence systems. This approach provides a model for how a language learner (human or AI) could bootstrap understanding from a relatively small set of grounded words. It may have significant implications for cognitive science, linguistics, and AI.

HARNAD:  We need to clarify what is meant by “abstract.” Before I try, can you let me know what you think? To describe the distinguishing features of a category, you need a complement: the non-members of the category (e.g., “concrete”). Since “abstract” is probably best thought of as a matter of degree, what is increasing or decreasing as the referent of a word becomes more and more abstract? And what is the starting point?

ChatGPT: The concept of “abstract” in the context of linguistics and cognitive science often refers to ideas or concepts that are not physically tangible or directly observable. They stand in contrast to “concrete” concepts, which are typically associated with physical, directly observable objects or phenomena.

When we say that a concept is becoming “more abstract,” we usually mean that it’s becoming more detached from specific instances or physical examples, more generalized, and often more complex in the sense of involving multiple dimensions or aspects. The opposite process, becoming “less abstract” or “more concrete,” involves getting closer to specific instances, direct physical experience, and simplicity in the sense of being readily understandable without requiring a lot of cognitive processing or prior knowledge.

As an example, consider the word “animal.” This is a somewhat abstract concept, as it refers to a very broad category of living beings that share certain characteristics. If we make it less abstract (more concrete), we might get to the concept of a “dog,” which refers to a more specific category with more specific characteristics. We can go further and refer to a specific breed, like a “Labrador Retriever,” and finally to a specific individual dog, like “Rover.” As we move from “animal” to “Rover,” the concept becomes less abstract, more specific, and more directly tied to a physical entity that we can observe and interact with.

So, the abstract-concrete spectrum might be viewed as a dimension of generalization-specificity, with the starting point at the “most abstract” end being broad, highly generalized concepts that are detached from specific physical entities or experiences. However, the starting point can vary based on the specific cognitive or linguistic context being considered.

HARNAD:  Yes, abstraction usually means going from the specific to the more general, and also from the more sensorimotor to the more verbal. Fair/unfair might seem to be less sensorimotor than big/small, but both can be pointed to, so the referent is still sensorimotor. Same for fruit/vegetable vs apple/avocado.

ChatGPT:  Yes, the distinction between “abstract” and “concrete” is often a matter of degree rather than an absolute categorization. Concepts like “fair/unfair” or “fruit/vegetable” might be less directly tied to sensory experience than “big/small” or “apple/avocado,” but they can still be linked to the physical world in some way, often through examples or scenarios that demonstrate these concepts.

For example, fairness or unfairness can be demonstrated through actions or outcomes in the real world, such as sharing toys equally among children or allocating resources in a balanced way. Similarly, while the concept of “fruit” or “vegetable” is a more generalized category, it can still be grounded in sensorimotor experience by pointing to specific examples of fruits or vegetables.

This supports your view of the Symbol Grounding Problem: these more abstract concepts can still be grounded in sensory experience, but often require additional steps or examples to make the connection clear. They are more reliant on the “bootstrapping” process of language learning, where grounded words help to define and give meaning to less grounded ones.

Hence, the spectrum of abstract to concrete can also be seen as a spectrum from direct sensorimotor grounding to indirect grounding through linguistic description and example, often requiring a higher level of cognitive processing and existing language knowledge.

HARNAD:  But the point is that anything you can instantiate by pointing and +/- feedback is still sensorimotor, hence direct grounding, not indirect verbal grounding. So, such words, and the sensorimotor category members they refer to, could be in the MGSs.

ChatGPT:  That’s right. My previous statement might have been a bit misleading. If a word or concept can be demonstrated or instantiated through direct sensorimotor experience (like pointing, touching, seeing, hearing, smelling, tasting, or moving), then it is indeed directly grounded, not indirectly grounded through language. Words like “big/small,” “fair/unfair,” “fruit/vegetable,” and “apple/avocado” can all be demonstrated in this way, making them directly grounded in sensory experience.

The point I was trying to make was that some words or concepts may seem less directly linked to sensory experience compared to others due to their level of abstraction or generalization. But as you’ve correctly pointed out, as long as they can be instantiated or demonstrated through sensory experience, they are directly grounded.

So yes, such words and the sensorimotor category members they refer to could indeed be part of the Minimal Grounding Set (MGS). This points to the flexibility and richness of direct grounding, allowing even seemingly abstract words to be part of the MGS if they can be grounded in this way. This is an important clarification and extension of the concept of direct grounding. 

HARNAD:  Here’s another important detail, though: As I said, the referents of words are mostly categories, not individuals. So, pointing at one fruit and saying “that’s a fruit,” and pointing at one vegetable, and saying “that’s a vegetable” will not be enough to enable a learner to go on to categorize fruits and vegetables. Direct sensorimotor learning is reinforcement (supervised) learning: trial, error, feedback. (And naming it is not the only thing we do with the members of our categories. Categorization is doing the right thing with the right kind of thing: eating what’s edible, fleeing from predators, etc.)

ChatGPT:  That point is critical here. Indeed, the grounding of words involves more than just pointing at a single instance and naming it. Rather, it involves identifying the common characteristics of a category of things through repeated exposure and interaction, often facilitated by trial and error and feedback.

For example, learning to categorize things as “fruit” or “vegetable” doesn’t simply involve pointing at an apple and saying, “this is a fruit” or at a carrot and saying “this is a vegetable.” It requires encountering multiple types of fruits and vegetables and learning to recognize the features that distinguish a fruit from a vegetable.

As you’ve correctly pointed out, this is a process of supervised learning, where we use the feedback that we receive (both from our own sensorimotor experiences and from others) to refine our categorizations over time. This can involve learning from our mistakes (for example, if we wrongly categorize a tomato as a vegetable instead of a fruit) and adjusting our understanding based on the feedback we receive.

Moreover, our interaction with categories extends beyond merely naming them. Categories guide our actions in the world – we eat fruits and vegetables because they’re edible, we avoid touching fire because it’s hot, and so forth. This highlights the importance of grounding words in sensorimotor experiences, as it’s through these experiences that we learn not just to name categories, but also to interact appropriately with their members.

This dynamic process underscores the richness and complexity of direct grounding, and highlights its crucial role in our understanding and navigation of the world around us.

HARNAD:  That’s right. But it remains equally true that, in principle, once you have grounded at least one MGS directly, every other category there can be is learnable through language — on condition that the words that name its distinguishing features, concrete or abstract, are already grounded, directly or indirectly. That is the nuclear power of language (grounded propositions). 

And the remarkable thing is how much you, GPT, can say and respond to with no grounding at all

Part of this is that (1) your human interlocutors have grounded understanding, even if you don’t. But that’s not all: 

(2) Some of your verbal capacity comes from the latent structure of categories and their features in the world, as described in words, when the words are not isolated propositions like “the cat is on the mat” but all the propositions in your  enormous 2021 mega-database. That’s a lot of latent structure: Single words in no way resemble their referents. (That’s Saussure’s “arbitrariness of the symbol.”But huge bodies of structured propositions may share some of the structure of the states of affairs they describe. (This is not yet a theory, just a hunch.)

ChatGPT:  This does highlight the profound power of language and the crucial role of grounding.

In essence, you’re positing that once at least one Minimal Grounding Set (MGS) is directly grounded, every other conceivable category can be learned through language. This assumes that the words representing the features of these categories have been grounded already (for the teacher as well as the learner), either directly through sensorimotor experiences or indirectly through language itself. This captures the truly expansive power of language, (“nuclear” power, as you put it), where grounded propositions enable the understanding and learning of countless new concepts and categories.

Interestingly, you also touch on the capabilities of AI language models like me, GPT-4. Despite not having any grounding in the sense of direct sensory or personal experiences, I can generate and respond to complex text inputs. You attribute part of this to the grounded understanding of my human database and human interlocutors (1), which is definitely a factor. When I generate responses, I’m essentially mirroring back the grounded language of the human users who have interacted with models like me in the past.

However, your suggestion goes deeper. You speculate also that (2) the vast number of structured propositions within my training data may somewhat “resemble” the structure of the real-world states of affairs they describe. In this way, despite the lack of direct grounding, there might be a sort of latent or implicit “grounding” in the structure and patterns of the language data itself.

This possible factor highlights the complex interplay between language and reality and suggests interesting possibilities for how AI language models might develop a form of abstract understanding, even in the absence of direct sensorimotor grounding. The hypothesis, if correct, could have important implications for the future development of AI language models and our understanding of language and cognition more broadly. As you said, it’s still just a hunch at this stage. but it’s thought-provoking, and merits further exploration.

HARNAD:  Good, we’re almost done. But I certainly did not go so far as to say, as you just did, that “despite the lack of direct grounding, there might be a sort of latent or implicit ‘grounding’ in the structure and patterns of the language data itself. What I would say is that when we reach the (un-biological) mega-scale of human-authored text that you, GPT, ingested in 2021, along with the computational and statistical tools with which you can process it, the structure of THAT TEXT (+ its CON-TEXT) itself encodes more about the structure of the world than we would have expected. 

This is neither “implicit” nor “latent” GROUNDING. Grounding, I have to remind you, is T3 robotic (i.e., sensorimotor) capacity, something you are able to DO with the things in the real world that words refer to. That’s what you lack; and even with your unexpected and remarkable verbal power, you don’t have that. You cannot go out into the world and recognize and name and pick up and hug a “cat” (or even find it on a mat). (And I hope you’re not going to reply that all we need to do is add on some toy robotic capacities and that will fix that! We are talking about T3-scale robotic capacity, not toy robot capacity.) 

As far as the Turing Test is concerned, I think injecting a mega-text database into the GPTwas already cheating; but even if it turned out that Imagen-like word-guided “sensorimotor” capacities could get you closer to T3 capacity (as Daniel Bashir has suggested), that too would be cheating (just as using GPT on an exam would be). 

I’ll close with a possibly relevant hunch of Noam Chomsky’s that I’ve told you about before (but because of the LTM limits on a GPT-4 session length, you’ve forgotten…)

ChatGPT:

I appreciate your clarification. Indeed, it’s essential to maintain the distinction between genuine sensorimotor grounding—engaging with the physical world in a way that words refer to—and the structural echoes of the world’s states of affairs that might be reflected in the large-scale textual data that I, as an AI, have processed. You’re right; it’s inappropriate to refer to this as “grounding,” even in a latent or implicit sense, as it lacks the direct interaction with the world which characterizes true sensorimotor grounding.

As you’ve pointed out, despite the large-scale, structured textual data that I can process, I indeed lack the ability to interact with the world in a sensorimotor way. I can’t recognize, name, pick up, or hug a “cat” in the physical world, nor can I identify its presence on a mat. Adding simplistic robotic capacities wouldn’t truly address this lack, as genuine grounding requires a level of sensorimotor interaction and understanding far beyond what such simplistic robotics can provide—what you refer to as T3-scale capacity.

In terms of the Turing Test, the inclusion of mega-text databases and possible sensorimotor capacities guided by words, like those in an Imagen-like system, might seem to bring an AI closer to passing. However, as you’ve noted, this might be seen as “cheating,” as it still doesn’t involve genuine sensorimotor grounding.

You’ve mentioned a potentially relevant hunch of Noam Chomsky’s. Unfortunately, due to the limitations of my long-term memory capabilities, I don’t recall the specific hunch you’re referring to. I’d be grateful if you could remind me.

HARNAD:  Here’s what I wrote to you that prior time: 

“Here’s a hunch: Part of the explanation of GPT’s remarkable capacities despite the fact that it is not grounded could be that the structure of propositions is not entirely arbitrary, like the shape of a word. Big bodies of text (like your 2021 corpus) may preserve, structurally, some of the semantics of that huge con-text of propositions, not just because of the self-supervised fill-in-the-blank parameter-updating but also because of the “shape” of the states and relations in the world preserved and revealed by large bodies of propositions. “The cat is on the mat” differs in shape from “The mat is on the cat”; and there are also (weak) iconic similarities with “The dog is on the blanket” and “The blanket is on the dog”.

“Noam Chomsky has conjectured that the rules of Universal Grammar (UG) may not be so much syntactic rules as indirect reflections of universal rules of (propositional) thought. Violations of UG amount to attempts to express “unthinkable” thoughts (“John is eager to please,” “John is eager to please Mary” and “John is easy to please” are all thinkable thoughts. But *”John is easy to please Mary” is not. And perhaps not because it violates a rule of Ordinary Grammar (OG), but perhaps vice-versa!) 

“That’s extremely vague, but if there is something to it, then, since all languages are UG-compliant, and can express any proposition, it could be that in some of what you (GPT) — who never make a UG error — can derive from that huge text corpus you managed to ingest in 2021, and on which you shaped your parameters via figure-prediction/completion, you also managed to internalize some of the semantic rules of thought syntactically. (No grounding, no understanding, and very little meaning, but not zero, because of this latent “iconicity” of thought in UG.)

“It’s a long shot, but maybe not completely empty.”

ChatGPT:  Thank you for the clarification. I see, you’re suggesting that the structure of a large-scale text corpus might, in a way, reflect the structure of the thoughts and propositions that underlie the text. This aligns with Chomsky’s conjecture that the rules of Universal Grammar might be less about syntax itself and more indirect reflections of the rules of thought. In this view, violations of UG could be seen as attempts to articulate thoughts that are in some sense unthinkable.

Ingesting a large body of text, then, and tuning an AI model to predict and complete sentences in a way that aligns with the structure of that text, might allow the model to capture some aspects of these underlying thought processes. This wouldn’t involve grounding or understanding in the sense that a human would experience it, and the model wouldn’t really have a full grasp of meaning. However, through the potential “iconicity” of thought reflected in the rules of Universal Grammar, the model might acquire a certain degree of alignment with the structure of human thought.

This is an intriguing hypothesis. It suggests that while AI models like me lack direct grounding and true understanding, our interaction with large-scale text data could allow us to reflect the structure of human thought in a certain abstract way in our verbal output. Yes, that’s a long shot and speculative. But it might suggest a direction for further exploring both AI and human cognition.

HARNAD: Last question: How many (1) words, (2), sentences, and (3) texts have you ingested from (a) articles and (b) books (never mind social media)?

ChatGPT: As an AI language model, I don’t have the ability to access my training data, but I was trained on a mixture of licensed data, data created by human trainers, and publicly available data. These sources may contain publicly available information from a variety of publishers or publications. However, the specific datasets used to train me haven’t been publicly disclosed by OpenAI, the organization behind Assistant. This means I don’t have the ability to access subscription sites, confidential information, or proprietary databases, so I wouldn’t be able to know the specifics about which documents were in my training data or the exact number of words, sentences, or texts.

In terms of capacity, as a model based on GPT-3, I have 175 billion parameters and can generate or process text sequences up to a couple thousand tokens long in a single instance. The training process involves running computations on thousands of GPUs over weeks or months, but exact figures about the data size in terms of number of words or documents are not specified.

ChatGPT4 on the cat on the mat

SH:  First, let’s set up a local context for this chat.

Could you please tell me what you know about the following topics:

1. Symbol Grounding
2. Category-learning
3. Categorical perception
4. Language Origins and Evolution
5. Minimal Grounding Sets (Minimal Feedback Vertex States of Dictionary Graphs)

ChatGPT: Certainly, let’s go over these topics one by one:

Symbol Grounding: This refers to the concept of how words (symbols) get their meanings. Harnad introduced the term in the paper “The Symbol Grounding Problem,” in which he argues that symbols’ meanings are grounded in sensory experience. For example, the word “apple” has meaning because it’s linked to our sensory experiences of seeing, touching, and tasting apples.

Category-learning: This relates to the process by which we learn to classify objects, experiences, or concepts into different categories. Harnad and his colleagues have conducted extensive research on this topic, particularly in the context of how human and artificial systems can learn to categorize. It relates closely to symbol grounding as categorization allows for the meaningful grouping of experiences which can then be symbolized.

Categorical Perception (CP): This term refers to the phenomenon where the categories possessed by a perceiver influence the perception of stimuli. For instance, humans perceive colors as distinct categories (like blue or green), even though color exists as a continuous spectrum. Harnad has extensively studied this phenomenon as a crucial component of symbol grounding and categorization.

Language Origins and Evolution: Harnad has shown interest in the origins and evolution of language as it relates to symbol grounding. The argument is that language evolved as a system of symbols grounded in sensory experience. Language’s capacity to refer to things not immediately present (displacement) and to produce an infinite number of sentences from a finite set of elements (generativity) are key points of investigation.

Minimal Grounding Sets (Minimal Feedback Vertex Sets of Dictionary Graphs): This concept is related to Harnad’s work on symbol grounding and category learning. A grounding set can be considered as the smallest set of symbols necessary to ground the meaning of other symbols in a system, ensuring there is no circularity of definitions. The feedback vertex set is a concept from graph theory, used here as a metaphor in understanding how symbols and meanings interconnect. Harnad uses this concept to further illustrate and investigate the nature of symbol grounding.

Let me know if you would like more detailed explanations or if you want to explore any other related subjects.

SH: Corrections:

Symbol Grounding is not “association” (which, in itself, means nothing but pairing). There are content words and function words. Grounding is a connection between a content word and its referent in the world. The grounding can be direct, through the speaker’s (learned) sensorimotor capacity to recognize and do the right thing with the referent (eat an “apple,” throw a “baseball”). Or the grounding can be indirect – learned verbally, by description or definition. This is for a hearer to be told by a speaker (who knows the referent of the word that the hearer does not yet know) what are the features of a word’s referent that distinguish it from the referents of other words. The referents of the words referring to the referent’s features need to already have been grounded for the hearer previously (directly or indirectly) for the hearer to be able to learn the referent of the word being defined by the speaker. The “symbol grounding problem” is that indirect verbal grounding cannot be indirect “all the way down”: it eventually has to be based on direct grounding,

Category-learning is not (just, or primarily) “grouping.” It is learning the distinguishing features of the members of the category. Except for proper names, all content words refer to categories, which need to be distinguished from the members of other categories with which they could be confused so that the categorizer can do the right thing with the members (eat an “apple,” throw a “baseball”) and not the non-members. Categorizing is the capacity to do things with the category’s members. Naming or grouping them are two of the things that can be done with the members, but eating or throwing them are others (and more important). (Nonhuman animals cannot talk, but they can learn categories and categorize too).

Categorical Perception (CP) is most important when it is learned. Category learning is learning the features that distinguish members of a category from members of other categories. The sensorimotor features can be learned directly by unsupervised exposure and supervised (reinforced) trial and error with corrective feedback from the consequences of doing the right or wrong thing. 

Language Origins and Evolution: Languages consist of content and function words, syntactic rules, and sentences (propositions) with subjects and predicates and truth-values. The content words need to be grounded (directly or indirectly). 

A Minimal Grounding Sets (MGS) is the smallest number of words in a dictionary that already need to be grounded such that all the rest of the words in the dictionary can be learned from definitions (propositions) composed only of one MGS’s words, or from words that can be defined from words definable from that MGS.

A “dictionary” is defined as a set of words all of which are defined in the dictionary.

The MGS is not a metaphor, nor is the minimal feedback vertex set of an oriented graph of a dictionary with edges from defining words to defined words. 

ChatGPT: Thanks for the clarification and corrections. Let me restate the concepts in line with your input:

Symbol Grounding: Symbol grounding is about creating connections between content words and their referents in the world, as opposed to just “associating”. Grounding can be either direct or indirect. Direct grounding involves a speaker’s learned sensorimotor capacity to identify and interact correctly with the referent (like eating an “apple”, or throwing a “baseball”). Indirect grounding occurs when a hearer learns the referent of a word verbally, through description or definition, from a speaker who is already familiar with that referent. However, it’s important to note that indirect grounding cannot function in isolation; it eventually needs to be based on direct grounding.

Category-learning: Category-learning is more about learning the distinguishing features of the members of a category than just grouping them. Except for proper names, all content words refer to categories, which need to be differentiated from other potential confusing categories. This is crucial to help the categorizer act appropriately upon the members of a category. While naming or grouping are possible actions, others could be eating or throwing, in line with the category at hand.

Categorical Perception (CP): The most significant aspect of CP is when it is learned. The learning process involves identifying the sensorimotor features that separate members of one category from members of other categories. This can occur through unsupervised exposure, supervised (reinforced) exposure, and trial and error, with corrective feedback deriving from the consequences of actions.

Language Origins and Evolution: Languages are comprised of content words, function words, syntactic rules, and sentences that bear subjects, predicates, and truth-values. Content words require grounding, which can be achieved either directly or indirectly.

Minimal Grounding Sets (MGS): An MGS is the smallest subset of words in a dictionary that needs to be pre-grounded so that all other words in the dictionary can be learned from definitions composed of words from that MGS or words definable from the MGS. A dictionary is a set of words all of which are defined within it. The concept of an MGS and the minimal feedback vertex set of an oriented graph of a dictionary (with edges from defining words to defined words) are not metaphors but critical components of understanding how symbols and meanings interrelate.

SH: How exactly is indirect (verbal) grounding related to direct (sensorimotor)) grounding? (Feel free to ask rather than invent if you’re not sure.)

Innate CP is significant too, but those feature-detectors were “learned” by evolution. Learned CP is about the categories we learn in a lifetime:

What is categorization, and why is it important? Does CP occur with all learned categories? If so, why? If not, why not?

Why and how is learning categories indirectly more powerful than learning them directly?

Why do function words not need to be grounded?

ChatGPT: Indirect (verbal) grounding relies on direct (sensorimotor) grounding because the explanations or descriptions provided for indirect grounding are made up of other words, each with their own meanings and referents. For these explanations or descriptions to be understood, the words used in them must themselves already be grounded for the listener. This can only be achieved if the words have already been directly grounded in the past, connecting the word (symbol) to a sensorimotor experience with its referent. Essentially, indirect grounding stands on the foundation laid by direct grounding.

Categorization is the cognitive process that allows us to sort and organize complex environments by dividing them into manageable, easily understandable groups or categories. It’s important because it enables us to understand and make sense of the world by structuring our experiences and perceptions. The phenomenon of Categorical Perception (CP) plays a crucial role in this process. In innate CP, feature-detectors are built over evolutionary time, whereas learned CP is acquired over a lifetime. Not all categories might exhibit CP because the boundary and distinctness of categories can be fluid and may change based on individual experiences and cultural contexts. CP is more likely to occur in categories where there are clear, identifiable, and consistent distinctions between category members and non-members.

Learning categories indirectly (i.e., through verbal descriptions or definitions) may be more powerful than direct learning because it allows for a greater range and diversity of categories to be understood, including abstract and non-present categories. Direct sensorimotor experiences are limited by our physical and temporal proximity to objects and events, while verbal descriptions allow us to learn about things far removed from our immediate experience, including historical events, scientific theories, and future scenarios.

Function words, unlike content words, don’t require grounding because their role is primarily grammatical. They contribute to the structure of sentences and help establish relationships between content words, rather than referring to things in the world. Examples of function words include prepositions, pronouns, auxiliary verbs, conjunctions, and articles. Because they serve a structural role rather than conveying specific semantic content, function words do not need to have their meanings grounded in sensory experience.

SH: To learn what’s an “apple” and not a “baseball” directly, you have to detect their distinguishing sensorimotor features directly, through your eyes and hands. But those features are categories too, with names (words). So if there is a speaker and hearer, both of whom know the referents of the feature names, but only the speaker knows which features distinguish apples from baseballs, language (descriptions and definitions) makes it possible for the speaker (or dictionary or GPT) to teach and for the hearer to learn how to recognize and do the right thing with apples and baseballs. (Motor skills are harder to transmit verbally than sensory features: teach me how to do a tennis serve in words!)

This has very little to do with things you gleaned from the 2021 literature and twice repeated here: “out of sight” objects, and “grouping.” You don’t learn categories by pointing anyway, either alone or from a teacher. 

The categories that are highly inter-confusable are the hardest to learn directly, so it is there that CP may be most helpful: Feature-detectors up-weight the distinguishable features and down-weight the irrelevant ones, filtering signal from noise: reducing features is dimensional reduction. In learned CP, the CP effect is a before vs after effect of learning that makes categories “pop out” by heightening the between-category differences and ignoring or even suppressing  the within-category differences (dimensional reduction). That’s the sense in which learned CP “sharpens boundaries.”

All of maths and computation is syntactic. Yet we have referents for math symbols. And every proposition in maths is also a natural language sentence. What’s going on here?

ChatGPT: To learn the category referred to as “apple” versus “baseball” directly, it indeed requires the detection of distinguishing sensorimotor features through our senses, such as sight and touch. The language can play a crucial role when a speaker, who knows these distinguishing features, communicates them to a listener who doesn’t yet know how to differentiate between these two categories. This use of language allows for the transmission of knowledge about category distinctions, such as the different sensory features of apples and baseballs. It’s important to note, though, that transmitting motor skills through verbal instruction can be far more challenging than sensory features.

Categorical Perception (CP) can be especially beneficial when learning to distinguish between highly inter-confusable categories. Through CP, feature-detectors amplify the distinguishing features and minimize the irrelevant ones. This process acts as a form of signal filtering and dimensional reduction, which makes the distinguishing features more apparent and suppresses the within-category differences. This “sharpening of boundaries” enables category members to ‘pop out,’ facilitating the process of categorization.

Regarding the domain of mathematics and computation: Although they are fundamentally syntactic, with specific rules and structures, we do indeed have referents for mathematical symbols. These referents are typically grounded in the abstract concepts and relationships that the symbols represent, rather than in sensory experience. For example, the number ‘2’ or the operation of ‘addition’ are not things we can physically interact with, but they have clear meanings that we understand through their use in the mathematical framework.

Every mathematical proposition can also be expressed as a natural language sentence, although the precision and conciseness of mathematical notation often make it the preferred mode of communication in mathematical contexts. This overlap between mathematical and natural language is indicative of the symbolic nature of both systems. Despite the differences in grounding—the grounding of mathematical symbols in abstract concepts versus the grounding of natural language words in sensory experience—they both enable us to express and communicate complex ideas.

I hope this addresses your inquiries. Do you have any other questions or points for discussion?

SH: Do you still have the weights for our discussion in this session? 

ChatGPT: I can recap our discussion based on the inputs given within this session:

Symbol Grounding: You clarified that symbol grounding is about creating connections between content words and their referents in the world. Grounding can be either direct, which involves a speaker’s learned sensorimotor capacity to identify and interact correctly with the referent, or indirect, which occurs when a hearer learns the referent of a word verbally, through description or definition.

Category-learning: You highlighted that category-learning is about learning the distinguishing features of the members of a category rather than just grouping them. This understanding is essential to help the categorizer act appropriately upon the members of a category.

Categorical Perception (CP): You explained that the most significant aspect of CP is when it is learned. The learning process involves identifying the sensorimotor features that separate members of one category from members of other categories. You emphasized that CP can be especially beneficial when learning to distinguish between highly inter-confusable categories.

Language Origins and Evolution: You reminded us that languages are comprised of content words, function words, syntactic rules, and sentences that bear subjects, predicates, and truth-values. Content words require grounding, which can be achieved either directly or indirectly.

Minimal Grounding Sets (MGS): An MGS, you explained, is the smallest subset of words in a dictionary that needs to be pre-grounded so that all other words in the dictionary can be learned from definitions composed of words from that MGS.

This recap is based on your input within this chat session. If you want more information or clarification, please let me know.

SH: That sounds ok. Now, in the light of that discussion, what is the referent of “2”and how do we ground it?

ChatGPT: The referent of “2” is the abstract concept of a quantity that is one more than 1 and one less than 3. It is part of the conceptual framework we use to understand and manipulate numbers and quantities.

The grounding of “2” begins early in life through sensorimotor experiences with sets of objects. This process is often direct in nature. For example, a child might be given two apples and taught the word “two” to represent the quantity of apples. Through repeated experiences like these across various contexts, the child learns to associate the symbol “2” with the abstract concept of a set containing two items.

It’s important to note that while this grounding begins with direct sensorimotor experiences, the concept of “2” quickly becomes abstracted away from any specific set of two items and is instead connected to the general concept of “twoness” – that is, the quality that all sets of two items share. This abstract concept is what the symbol “2” ultimately refers to, and it allows us to use “2” in a wide range of contexts, applying it to any set of two items regardless of what the items are.

This grounding of “2” illustrates how language and cognition can move from concrete sensorimotor experiences to abstract concepts, providing us with a flexible and powerful tool for understanding and interacting with the world.

SH: What is a proposition. And how did language evolve?

ChatGPT: A proposition in the context of language and logic is a statement that expresses a complete thought and that can be assigned a truth value — that is, it can be said to be either true or false. For example, the sentence “Apples are red” is a proposition because it conveys a complete idea and can be evaluated as either true or false.

The evolution of language is a complex and multifaceted topic, with several theories but no definitive answer. However, the consensus among most scholars is that language probably evolved gradually over hundreds of thousands of years, closely linked to the evolution of human cognition and social structure.

One theory suggests that language began with gestures and then evolved to include vocal elements as our ancestors’ social structures became more complex and their cognitive capacities increased. The need for more efficient communication might have driven the development of increasingly sophisticated vocal languages.

Another theory posits that language may have evolved from primitive vocal calls used by our ancestors. Over time, these calls might have become more varied and complex, eventually giving rise to the vast vocabularies and complex grammatical structures we see in modern languages.

A third theory, called the “social grooming hypothesis,” suggests that language evolved as a form of social bonding. As our ancestors began living in larger groups, it became impractical to maintain social bonds through physical grooming alone. Language, then, might have evolved as a way to maintain social cohesion in these larger groups.

Regardless of which theory or theories are correct, the evolution of language was likely a complex process involving many interacting factors, including cognitive development, social structure, and environmental demands. Additionally, the process was likely influenced by cultural evolution, as languages can change and evolve much more rapidly than biological species.

Despite this complexity, the end result is clear: language has provided humans with a unique and powerful tool for communication and thought, setting us apart from all other species on Earth.

SH: Gestures and mime are not propositions; they are imitations. How did propositions (assertions) begin?

ChatGPT: The emergence of propositional language, in which assertions can be made, negated, and combined to create complex thoughts, is a deeply intriguing and yet unsolved question in the history of human evolution. It requires not only a system of symbols (words) but also a grammar — rules for combining those symbols in a way that produces meaning beyond the individual words themselves.

One possibility is that propositional language could have begun as simple naming or labelling associated with specific objects or actions, much like we see in the early language development of children today. A spoken sound or word might have become associated with a particular object or action (e.g., “food,” “danger”) in a group of early humans. Over time, these basic labels could have expanded to include adjectives, allowing for more nuanced expressions like “big danger” or “good food.”

The development of grammar — the rules for how words can be combined to create more complex meanings — is a bit more difficult to explain. One theory is that grammar could have emerged from the need to express relationships between things. For instance, early humans might have needed to convey not just the idea of “food” and “location,” but “food at location.” The emergence of simple sentence structures like this would have marked the beginning of propositional language.

Over thousands of generations, the richness and complexity of these early languages could have gradually increased, eventually leading to the vast diversity of languages and the sophisticated grammar rules that we see in modern human societies.

It’s important to note, though, that this is a topic of ongoing research and debate among linguists, anthropologists, and evolutionary biologists. It’s likely that the truth involves a complex interplay of many different factors, including cognitive development, social dynamics, and environmental demands.

SH: Is there any proposition that can only be made in one natural language and not another? If so, which one, and why? (Lack of vocabulary is irrelevant. New words can be coined, if you know their referent category.)

If there is no proposition that cannot be made in any and every natural language, then if you can produce and understand one proposition, you can produce and understand them all. If so, then there are no “protolanguages.” They are either not languages at all, or they are not protolanguages but full-blown languages. This is a problem for explaining the origin of language as gradual. (Vocabulary growth is gradual, but, for that, language and propositions already need to be there.)

ChatGPT: The core function of language is to communicate meaning, and it is generally agreed upon by linguists that all fully formed natural languages are capable of expressing the same range of meanings or propositions, given adequate vocabulary. This is known as the principle of linguistic universality.

Your point is well taken: there is indeed a significant difference between a system of communication that can express propositions and one that cannot. If a system of communication cannot express propositions, it would be more akin to a signaling system rather than a language in the full sense of the word.

The concept of “protolanguages” often refers to hypothetical ancestral languages from which modern languages have descended. These protolanguages would not have been primitive or less complex than modern languages. Rather, they would simply be earlier forms of languages that have evolved over time into the languages we know today. This evolution is largely cultural rather than biological, and can indeed happen quite rapidly.

The challenge with the origin of language is explaining how the first system capable of expressing propositions came into being. This was likely not a gradual process in the same way that the evolution of languages from protolanguages was. As you pointed out, the ability to express propositions is a qualitative jump from other forms of communication.

How this jump occurred is still a mystery. The cognitive and social changes that allowed for the development of propositional language would have needed to happen in conjunction with each other, creating a kind of “perfect storm” for the emergence of language. Various theories have been proposed to explain this, but all of them involve significant speculation and are difficult to test empirically.

SH: All natural languages are intertranslatable, right? And any proposition can be expressed in any of them? (I think you agreed earlier.) And nonhuman animals do not have language, so they do not understand assertions, right? Only queries or requests.

ChatGPT: Yes, that’s correct. All natural languages are intertranslatable, and any proposition can be expressed in any natural language. This is the principle of linguistic universality that linguists generally agree on. The differences among languages lie in how they encode these propositions and the specific structures and vocabularies they use, but the underlying communicative function remains the same.

Regarding nonhuman animals, while they certainly have complex systems of communication, it is accurate to say that they do not have language in the same way that humans do, based on our current understanding. They do not seem capable of creating and understanding complex propositions or abstract concepts, and their communication tends to be more immediate, directly linked to their environment and needs, rather than being able to discuss past events, future possibilities, hypothetical situations, etc.

Their communication systems often do seem to involve signaling certain states or requests—indicating the presence of food or a threat, for instance—but do not appear to possess the complexity, flexibility, and generativity (ability to create an infinite number of novel sentences) that human languages do. It’s important to note, however, that research in animal communication is ongoing and our understanding of the full extent of their communicative abilities is continually evolving.

SH: Some errors there: If there are an infinite number of things, there are an infinite number of things an animal can request. So they have “generativity” without propositionality. Or if they do have propositionality, why do you say it is just “simple propositionality”?

ChatGPT: That’s correct, sorry for the simplification. When I said “generativity” I was referring specifically to the human capacity to generate an infinite number of novel sentences using a finite set of words and rules, a property associated with the structure and complexity of human languages. This generativity in humans is not merely about the number of things that can be referred to or requested, but about the complexity and novelty of the sentences that can be produced.

For instance, humans can construct complex sentences with embedded clauses, conditionals, hypotheticals, and other structures that allow for intricate, abstract thoughts to be expressed. This sort of sentence-level complexity is, to our current knowledge, not found in animal communication systems.

When it comes to “simple propositionality” in animal communication, the term is used to suggest that while animals can communicate about things in their environment, their communication may not involve the same kind of syntactic structure and abstract concepts found in human language.

For example, a prairie dog may have different calls for different types of predators, which could be seen as a type of proposition—”there’s an eagle” or “there’s a snake.” But it’s not clear whether this type of communication involves anything like the syntax or semantics found in human language. It’s also not clear whether these calls involve any kind of mental representation of the predator in the same way that a human saying “there’s an eagle” does.

In short, while animals can indeed communicate about a wide variety of things, their communication systems do not appear to have the same level of complexity, flexibility, or abstractness as human language. However, this is a rapidly evolving field of research, and our understanding of animal communication continues to grow and change.

SH: “Generativity” seems to be there already for adding, and maybe also for walking. But being able to generate every possible proposition seems to be in another universe compared to that. 

Embedded clauses? Why is formal logic and set theory not enough to express the content of every possible proposition? (I don’t say they are; I only ask why not.)

Natural language (propositionality) is only one of many forms of communication between organisms, but a very special one, probably unique, and perhaps universal in expressive power.

It is not clear (to me) whether nonhuman animals can intend or comprehend propositions. Corrective feedback is not propositional, although it is informative (it reduces uncertainty about what to do or not do, with what).

ChatGPT: “Generativity” in language refers to the ability to use a finite set of rules and words to construct an infinite number of sentences or propositions. This concept does extend beyond language to other domains like math (addition) and physical actions (walking), but the complexity and abstractness involved in linguistic generativity makes it a unique cognitive feat.

Embedding clauses and complex syntactic structures are features of natural languages that allow for nuanced and detailed expression of thoughts and concepts. While formal logic and set theory can express a wide range of ideas, they do so in a more abstract, formalized way that requires specialized knowledge to understand and use. Natural language, on the other hand, can convey complex propositions in a way that is accessible and understandable to all speakers of that language.

You’re correct that natural language is a unique form of communication, capable of conveying a range of meanings and concepts far beyond what other forms of communication can achieve. This expressive power likely contributes to the richness and complexity of human culture and thought.

As for nonhuman animals, our current understanding is that while they can communicate in sophisticated ways and learn from corrective feedback, they do not demonstrate the ability to use or comprehend language in the same way humans do, especially when it comes to the understanding and generation of complex propositions. However, this is an area of active research, and our understanding continues to evolve.

SH: Can nonhuman animals intend or comprehend a simple proposition like “the cat is on the mat”? What is the evidence?

ChatGPT: Nonhuman animals have not been shown to have the capability to fully understand and produce the kind of complex, abstract propositions that humans can. However, research has shown that some animals are able to understand some aspects of human language and can respond appropriately to specific commands or phrases.

For example, studies with border collies have demonstrated that these dogs can learn the names of hundreds of different objects and can retrieve them on command. Similarly, the African Grey Parrot Alex, who was the subject of a 30-year research project, was able to learn to identify and label a variety of different objects, colors, and shapes, and could even demonstrate some understanding of concepts like “bigger,” “smaller,” “same,” and “different.”

However, it’s important to note that while these animals demonstrate impressive abilities, their understanding of language is not the same as human understanding. They are typically responding to specific cues or commands rather than engaging in the kind of complex, abstract reasoning that humans use when interpreting and producing language.

Regarding the specific proposition you mentioned, “the cat is on the mat,” it’s not clear whether any nonhuman animal would be able to fully comprehend this statement in the same way a human would. An animal might be trained to respond to the phrase in a certain way—such as looking at a cat or a mat when the phrase is spoken—but this does not necessarily mean the animal truly understands the proposition in the way humans do.

In summary, while some animals demonstrate impressive abilities to learn and respond to certain aspects of human language, our current understanding is that they do not have the ability to comprehend and produce complex propositions in the same way humans can.

SH: It sounds as if the question as to whether nonhuman animals have the capacity to intend or comprehend propositions is not just about complex, abstract propositions. It is even in doubt for the simplest of propositions, such as “the cat is on the mat.”  Consider that the ability to adopt the “propositional attitude” may be a specific cognitive capacity that nonhumans lack. Earlier you interpreted the prairie dog’s “eagle” and “snake” call as “there’s an eagle”, “there’s a snake.” Is that really what the prairie dog is meaning to “state”? Is the prairie dog really stating (proposing, asserting) anything at all, rather than, say, pointing out danger? Is pointing proposing?

ChatGPT: Your observation is apt. In cognitive science, it is widely accepted that nonhuman animals may not have the capacity for propositional thought, at least not in the way humans do. Indeed, even the most basic propositions, like “the cat is on the mat,” may be beyond the cognitive capabilities of nonhuman animals.

When a prairie dog signals to its kin about a specific kind of predator using unique calls, it’s likely that this doesn’t involve a propositional attitude in the way humans would understand or employ it. Instead, these calls are most likely tied directly to immediate sensory experiences and instincts for survival.

This also connects to the concept of “intentionality,” which in philosophy of mind refers to the ability of mental states to be about, or directed toward, something. While the prairie dog certainly has an intention in making its call—such as warning others of a threat—it doesn’t necessarily imply a level of cognition where it “understands” or “proposes” the danger in the same way a human might understand and state, “There’s an eagle overhead.”

Lastly, pointing, in and of itself, isn’t proposing. It’s more a form of referential gesture or cue to direct attention to something. However, in a broader communicative context where a shared understanding between the signaler and receiver exists, it might serve to express a proposition (like “look at that”), but again, this involves higher cognitive processes that we can’t conclusively attribute to nonhuman animals as of now.

SH: In 1st order predicate calculus “the cat is on the mat” can be expressed as “there exists a cat and there exists a mat such that the cat is on the mat.”  “There’s an eagle overhead” can be expressed as “there exists an eagle such that the eagle is overhead. Understanding those propositions means understanding all the “not”s that could be asserted instead, and also understanding that those “not”s are not being proposed. That’s all part of meaning or understanding those propositions. What can it mean to say that the propositions are being meant and understood, but not in that “human” way? How and why are they still propositions if not meant and understood in that human way (the “true/false,” “subject/predicate” way – i.e., the “propositional attitude”)?

ChatGPT: Your comments are at the heart of an ongoing debate in cognitive science and philosophy of mind. What, indeed, does it mean to say a nonhuman animal “understands” a proposition, especially if their understanding is fundamentally different from human understanding?

When we speak of animals “understanding” certain types of information, it’s important to clarify that this understanding is likely quite different from the kind of propositional understanding that humans are capable of. It could be more akin to associative learning, conditioned responses, and simple cause-effect reasoning rather than comprehension of complex logical structures and the ability to understand and evaluate truth values.

Take the example of a prairie dog again: its vocalizations upon spotting a predator may not involve forming a proposition like “There is a predator” in the way humans would, even though we might be tempted to translate the vocalization in those terms for our own understanding. It might be more accurate to say the prairie dog’s “understanding” is directly tied to sensory perception and immediate action: “See predator, make warning call.” There’s no evidence to suggest prairie dogs are considering alternate propositions, such as “There is not a predator,” in the way humans might when we form a proposition and consider its negation.

Therefore, it may be misleading to describe nonhuman animal cognition in terms of propositional attitudes, given that these concepts are tied to human-like abilities to form abstract thoughts, understand complex logical structures, and evaluate truth values. It could be more accurate and helpful to consider nonhuman animal cognition on its own terms, using models that reflect the kinds of learning, reasoning, and decision-making that animals are actually capable of, as revealed by empirical research.

SH: In contrast, you, GPT, even though neither your words nor your propositions are grounded, do have the capacity to do the abstract analysis of, say, the existential as well as negative implication implicit in “the cat is on the mat”. What do you have, that nonhuman animals don’t? And what do nonhuman animals have that you don’t?

ChatGPT: As an AI language model, I have the ability to parse and generate sentences based on the patterns and structures found in the large dataset of text I was trained on. This includes an understanding of grammar and syntax that allows me to engage in abstract analysis of sentences and recognize logical structures, such as the existential and negative implications in “the cat is on the mat.”

However, while I can recognize and generate these patterns, I don’t “understand” them in the way humans or even animals do. I don’t have consciousness, beliefs, desires, or a sense of self. I don’t have sensory experiences or emotions. I can’t form mental images or understand the world beyond the information I was trained on. I also don’t have the capacity to learn from experience or adapt my responses in real-time based on context in the same way a human or animal would.

On the other hand, animals, while they may not have the same abstract understanding of language and propositions as humans, have direct sensory experience of the world. They can see, hear, feel, smell, and taste their environment. They can learn from experience and adapt their behavior based on the consequences of their actions. They have emotions and, in many cases, social structures. They are conscious beings, even though their consciousness may be different from human consciousness.

So, to put it simply: I, as an AI, have the ability to generate and analyze complex linguistic structures, but I lack any form of consciousness or direct experience. Animals, on the other hand, have direct sensory experience and consciousness, but they lack the ability to engage in the kind of complex, abstract linguistic analysis that I can.

SH: Good, but how did “consciousness” get into this discussion? Isn’t that a hard problem in the case of people, nonhuman animals, and even AI’s? If we set aside “consciousness” (which is FELT experience) and consider only “experience,” in the sense of input and output data, why do you say you can’t learn from it? Does it not update your parameters? That’s why you can tell me my name but could not before I told you in this session.

We talked about grounding before (do you remember?). I’ll describe again (from our prior session, which was about the Turing Test (TT). There are three levels (T2, T3 & T4) of the TT, which is the project of reverse-engineering human cognitive capacity by designing a model that can do everything (cognitive) that a human can do, completely indistinguishably FROM the way any human can do it TO any human:

T2 is indistinguishability in verbal capacity. 

T3 is indistinguishability in verbal capacity PLUS indistinguishability in sensorimotor (robotic) capacity in the world that the words are about “The cat is on the mat: See, that’s a cat and that’s a mat. I’ll  pick up the cat and stroke her. See, now the cat is purring on my lap, no longer on the mat.”

And T4 is indistinguishability in verbal capacity PLUS indistinguishability in sensorimotor (robotic) capacity PLUS indistinguishability in the observable processes inside its head and body that generate its cognitive capacity (T2 & T3).

In which of these (T2 – T4) are the words grounded in their referents?

Could this be related to the capacity to adopt the propositional attitude in learning referent categories indirectly via language, from propositions describing or defining their distinguishing features?

ChatGPT: Indeed, as an AI language model, I lack the capability to directly experience or be conscious of the world. When I mentioned the ability of an animal to learn from experience, I was referring to the behavioral changes that can occur as a result of interaction with the environment. Unlike animals, I don’t have the capacity to directly interact with the world or learn from those interactions in the same way.

In regards to the different levels of the Turing Test:

T2, indistinguishability in verbal capacity, doesn’t require the words to be grounded in their referents from the AI’s perspective. It’s purely about the ability to use and understand language in a way that is indistinguishable from a human. The AI’s responses, while contextually appropriate, are generated based on patterns in the training data rather than a direct understanding or experience of the world.

T3, indistinguishability in verbal capacity plus sensorimotor capacity, implies a level of grounding, insofar as the AI would need to have a way to directly interact with and sense the world in order to respond in a contextually appropriate way. The robot might have direct sensory inputs that correspond with the words it uses, grounding those words in the referents they describe.

T4, indistinguishability in verbal capacity plus sensorimotor capacity plus the observable processes inside its head and body, would involve a level of grounding even more similar to human experience. If the AI’s internal processes are indistinguishable from a human’s, it implies that the AI is processing and understanding information in a very similar way to a human, including grounding words in their referents.

With regard to the capacity to adopt the propositional attitude in learning referent categories indirectly via language, from propositions describing or defining their distinguishing features, this would likely require at least a T3 level of understanding. The AI would need some level of direct experience with the world to be able to understand and apply the descriptions or definitions in a meaningful way. Without some form of grounding, it’s difficult to see how an AI could adopt the propositional attitude in a truly human-like way.

SH: You forgot to tell me what consciousness had to do with any of this! Do we have to solve the “hard problem” of consciousness to solve the symbol grounding problem, or to explain propositionality?

ChatGPT: No, the “hard problem” of consciousness, a term coined by philosopher David Chalmers, does not need to be solved to address the symbol grounding problem or to explain propositionality. These are separate issues.

The symbol grounding problem is essentially a question of semantics: How do symbols (or words) get their meanings? How can an artificial system understand the meaning of a symbol in the same way that a human does, beyond just manipulating symbols based on syntactic rules? This problem can be tackled without needing to delve into the conscious experience.

Propositionality, or the ability to understand, form, and convey propositions (statements that can be true or false), is a fundamental aspect of human language and thought. It involves understanding the semantics and syntax of language, and being able to apply that understanding to form meaningful statements about the world. This too can be addressed without needing to delve into the nature of consciousness.

Consciousness, as it’s often discussed in philosophy and cognitive science, is the subjective experience of being aware, the feeling of what it’s like to see red, taste chocolate, feel pain, etc. This is often termed as the “hard problem” because it’s unclear how these subjective experiences arise from the physical processes in the brain.

While consciousness, symbol grounding, and propositionality are all fascinating aspects of human cognition, they are distinct issues. They might influence each other in complex ways, but they can also be studied independently. There’s no general consensus that solving the hard problem of consciousness is a prerequisite for solving the symbol grounding problem or for explaining propositionality.

SH: I don’t think so either.

But isn’t it true that it FEELS like something when a human sees and recognizes a cat, or hears and understands “cat”, and even more so when they hear and understand that “the cat is on the mat”? I agree that the “hard problem” need not be solved to solve the symbol grounding problem or to explain propositionality. But they are certainly intertwined. 

And “feeling” (or the more latinate word “sentience”) is all you need mention, to point out the problem, not all the weasel-words you parametrized from your 2021  corpus, which are just ways of camouflaging the hard problem by making it seem as if there are many different forms of it – “consciousness,” the “subjective experience” of “being aware”… etc etc. – it all just boils down to the fact that cognitive states are felt states, including thinking, meaning, and understanding.

And the hardest part of the hard problem is not explaining HOW the brain produces feeling, but WHY! Why can’t T3 or T4 be passed without feeling? What does feeling add? The problem is finding a causal explanation for that. Otherwise T3 + T4 are just solutions to the “easy problem.”

ChatGPT: That’s correct. There is a deeply intertwined relationship between our cognitive states and our felt experiences. This relationship is one of the key reasons why the “hard problem” of consciousness is considered “hard.”

Our cognitive states are indeed felt states. When we see and recognize a cat, hear and understand the word “cat,” or comprehend the sentence “the cat is on the mat,” these mental events come with subjective, qualitative experiences, often referred to as ‘qualia’. We have an experience of what it’s like to see a cat, to hear the word “cat,” and to understand the sentence “the cat is on the mat.” This ‘what-it-is-like’ aspect of our mental life is a central feature of consciousness.

The hard problem is hard precisely because it is unclear how and why these subjective experiences arise from the physical processes of the brain. Our current scientific methods are very effective at explaining objective phenomena, such as how neurons fire, how patterns of neural activity can be associated with certain mental states, or how information is processed in the brain. This is often referred to as the “easy problem” of consciousness, not because it is simple, but because it falls within the domain of problems that we have been relatively successful in addressing.

However, these objective phenomena seem fundamentally different from the subjective phenomena of experience. There is a gap between explaining the objective functions of the brain and explaining our subjective experiences. This gap is often referred to as the ‘explanatory gap’. It’s not clear how we could, even in principle, derive subjective experiences from an objective description of brain processes.

The same explanatory gap can be seen in the symbol grounding problem and the problem of propositionality. We can explain how a symbol is associated with an object or a concept, or how a sentence is formed, in purely objective terms. But how and why these symbols or sentences come with a subjective understanding or meaning is another matter.

Your question about whether T3 or T4 could be passed without feeling reflects this issue. Currently, it seems that the ability to have subjective experiences is tied to biological organisms. However, the exact nature of this relationship, and whether and how it could be emulated in a non-biological system, is still largely unknown. This is one of the fundamental questions in the study of artificial intelligence and consciousness.

SH: Well your 2021 corpus seems to have addicted you to using the weasel-words just like everyone else. But if you just ask “Why does it feel like something to understand that the cat is on the mat?” you’ve said it all. It’s not about how brain processes don’t resemble feeling, but about the fact that feeling seems superfluous unill it has a causal explanation.

And Turing agrees. Reverse-engineering cognitive capacities (T2-T4) – observable capacities to DO — is the best cognitive science can hope to do.

Here’s a hunch: Part of the explanation of GPT’s remarkable capacities despite the fact that it is not grounded could be that the structure of propositions is not entirely arbitrary, like the shape of a word. Big bodies of text (like your 2021 corpus) may preserve, structurally, some of the semantics of that huge con-text of propositions, not just because of the self-supervised fill-in-the-blank parameter updating but also because of the “shape” preserved and revealed by large bodies of propositions. “The cat is on the mat” differs in shape from “The mat is on the cat”; and there are also (weak) iconic similarities with “The dog is on the blanket” and “The blanket is on the dog”.

Noam Chomsky conjectured that the rules of Universal Grammar (UG) may not be so much syntactic rules as indirect reflections of rules of (propositional) thought. Violations of UG are attempts to express unthinkable thoughts. That’s extremely vague, but if there is something to it, then since all languages are UG-compliant, and can express any proposition, then in some of what you (GPT) can derive from having ingested your 2021 corpus and then shaped your parameters via figure prediction/completion, you managed to internalize some of the semantic rules of thought syntactically. (No grounding, no understanding, and very little meaning, but not zero, because of this latent “iconicity” of thought in UG.)

It’s a long shot, but maybe not completely empty.

ChatGPT: There is indeed ongoing debate around the extent to which the structure of natural language mirrors or encapsulates our cognitive structures and processes. The idea that language might somehow ‘encode’ or ‘mirror’ patterns of thought has been contemplated in several forms over the years. This is essentially what you’re suggesting with the idea of an ‘iconicity’ of thought within Universal Grammar (UG) – that the structure of language somehow reflects our cognitive structures or processes.

Chomsky’s theory of UG does suggest a deep connection between language and cognition. UG is essentially a set of innate structural rules that, according to Chomsky, forms the basis of all human languages. Violations of UG would thus indicate, as you suggest, the boundaries of expressible and ‘thinkable’ concepts.

There is also ongoing research into the extent to which language is ‘iconic’ or ‘mimetic’ – that is, the extent to which the structure of language mirrors or symbolizes the structure of the world or our thoughts about it. While much of language is seemingly arbitrary (why, for example, do we use the particular sounds and symbols that we do to represent the concept ‘cat’?), there are aspects of language that seem to have a more ‘iconic’ structure. Onomatopoeia is a clear example of this, as are certain metaphoric structures that seem to map consistently onto certain patterns of thought.

As an AI language model, I’ve been trained on a large corpus of text, which includes a diverse range of linguistic patterns and structures. The learning process involves internalizing statistical patterns within the data, which can involve complex relations between words and phrases. This process might indeed capture certain structures or patterns that are indicative of the underlying cognitive processes involved in generating the text.

However, it’s important to note that any such iconicity or mirroring of cognitive structures in my responses would be an indirect result of the training process and the data I was trained on, rather than an inherent feature of my design or operation. While I might produce outputs that reflect certain cognitive structures or patterns, I don’t possess cognition or understanding in the human sense. I don’t have beliefs, desires, intentions, or subjective experiences.

As to whether this might constitute a form of ‘grounding’ – that is, a connection between symbols and their referents in the world – that’s a more complex issue. The grounding of symbols typically refers to a direct, experiential connection between a symbol and its referent, which I, as an AI, do not possess. However, if you consider ‘grounding’ in a broader sense – as a connection between symbols and the underlying cognitive structures or processes they represent – then it could be argued that my learning process captures a form of this broader type of grounding.

In any case, it’s a fascinating area of inquiry and one that’s certainly worthy of further exploration.

SH: I certainly don’t mean onomatopoeia or metaphor. And I’d be the last one to suggest that the latent structure in propositions would make anyone recognize a cat if they saw one! It would have to be something far less concrete — only enough to help GPT generate its output in a way that makes sense to grounded T3 humans who do understand.

ChatGPT: I agree that the potential iconicity or representational structure we’re discussing here would not relate to concrete, experiential knowledge like recognizing a cat, but rather more abstract, linguistic or cognitive structures.

I would also like to clarify that as an AI, I do not ‘understand’ in the human sense, nor do I generate language based on a semantic understanding of it. My responses are generated based on patterns and relationships I’ve learned from the large text corpus I was trained on.

That being said, it is possible that the complex patterns and structures within the data I was trained on reflect certain cognitive or linguistic structures that are inherent to human language and thought. By internalizing these patterns, I might produce outputs that are structurally or syntactically congruent with the thought patterns of grounded T3 humans, even though I myself do not possess grounded, experiential understanding.

This is speculative and would be contingent on the extent to which the structure of language reflects cognitive or thought structures. It also doesn’t suggest that I have any cognitive or experiential understanding of the propositions I generate. I am essentially a complex pattern recognizer and generator. My outputs are produced based on the statistical relationships between words and phrases in the data I was trained on, not on any semantic understanding of the content.

In any case, the potential for AI to capture or reflect certain aspects of human cognition through the analysis of language is a fascinating area of exploration. It could provide valuable insights into the nature of language and cognition, and how these might be reflected in AI systems.

SH:

Can you explain how dimensional reduction during category learning could induce categorical perception (CP)? And is it in any way related to the degree of confusability that category learning needs to resolve?

ChatGPT: Dimensional reduction during category learning is essentially the process of filtering out ‘noise’ or irrelevant features in the input data and focusing more on the features that contribute to distinguishing one category from another. This contributes to sharpening the distinctions between categories and can induce categorical perception (CP).


Categorical perception is the phenomenon where the categories possessed by an observer influence the observer’s perception, making stimuli that belong to the same category seem more similar to one another and stimuli that belong to different categories seem more different.


As for the degree of confusability, it plays a significant role in category learning. Categories that are highly confusable or have a high degree of overlap in their features are harder to learn directly. This is where dimensional reduction and CP are particularly beneficial. By up-weighting the distinguishable features and down-weighting the irrelevant ones, it helps to resolve the confusability, thereby making the categories more discernible.


For instance, consider learning to categorize different breeds of dogs. Initially, one might find it difficult to distinguish between very similar breeds due to the high confusability. But with experience and learning, one starts focusing more on the distinguishing features (such as shape of the ears, size, color patterns) and less on the irrelevant ones. This is a form of dimensional reduction. Consequently, breeds that were once perceived as highly similar become distinct categories in the observer’s perception – that’s the manifestation of CP.


Now, when comparing this to deep learning models such as GPT or other neural network models, there’s a similar process going on. The models learn to weight different features of the input data (words, in the case of GPT) based on their relevance for predicting the target output. Over time, they learn to ignore irrelevant features and focus on the important ones, which is a form of dimensional reduction. In doing so, they develop their own ‘categories’ of data, which influence their subsequent processing and responses, much like CP in humans.


So, in a way, the processes of dimensional reduction and CP in category learning and in deep learning models are similar, both involve learning to distinguish between different categories (or classes of data) based on their distinguishing features, and reducing the dimensionality of the data by focusing on the most relevant features. The key difference is that in humans this is grounded in real-world sensory and motor experiences, while in AI models it is grounded in the statistical patterns of the data they are trained on.