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    How AI evolved from quest for a mathematical theory of the mind

    The Daily FuseBy The Daily FuseFebruary 26, 2026No Comments6 Mins Read
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    How AI evolved from quest for a mathematical theory of the mind
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    Under, Tom Griffiths shares 5 key insights from his new e book, The Legal guidelines of Thought: The Quest for a Mathematical Principle of the Thoughts.

    Griffiths is a professor of psychology and pc science at Princeton College and director of the Princeton Laboratory for Synthetic Intelligence.

    What’s the massive thought?

    How can we examine one thing we are able to’t see or contact? Arithmetic permits us to develop rigorous theories about how minds work. It additionally lets us use these theories to construct artificial intelligence methods. Simply as physicists search to determine Legal guidelines of Nature, cognitive scientists hope to find the Legal guidelines of Thought.

    Listen to the audio version of this Book Bite—read by Griffiths himself—in the Next Big Idea app.

    1. The story of AI goes again lots of of years.

    For many individuals, AI appears to have come out of nowhere. In late 2022, it all of the sudden grew to become attainable for anybody to have a dialog with chatbots that would draw on extra data than any human. Dig just a little deeper and also you would possibly uncover that the method behind these chatbots—constructing larger and larger synthetic neural networks—had its first dramatic demonstration in 2012, when it was used to considerably enhance how properly computer systems determine pictures. However the story goes again a lot additional than that.

    When Enlightenment thinkers, like René Descartes or Gottfried Wilhelm Leibniz, first started utilizing arithmetic to successfully describe the bodily world round us, in addition they steered that the identical sort of method is perhaps used to explain the psychological world inside us. These early efforts led to the event of mathematical logic and digital computer systems, which in flip led to the creation of cognitive science by psychologists who used mathematical concepts to provide you with new theories concerning the thoughts. Fashionable AI springs from that custom: Key advances within the improvement of synthetic neural networks got here from psychologists in search of to grasp how the human thoughts works.

    2. No single piece of arithmetic describes the thoughts.

    Cognitive scientists began utilizing mathematical logic to explain thought, however after a few many years realized that wasn’t going to work. Ideas have fuzzy edges that logic simply can’t seize. Synthetic neural networks had been developed in parallel and have become far more highly effective after a gaggle of psychologists confirmed how they might be used to be taught extra advanced relationships than anybody had thought attainable.

    Persevering with to scale up these neural networks takes us to fashionable AI. However understanding how neural networks be taught—and how one can create methods that be taught extra like individuals—requires a special method, one which makes use of concepts from likelihood principle. These three mathematical traditions intertwine to present us a extra full image of how the thoughts works.

    3. Essential discoveries come from pursuing unpopular concepts.

    The primary neural networks that would be taught had been constructed by a pc scientist who deserted the undertaking after deciding that, to ensure that them to be taught something attention-grabbing, they must be a lot bigger than he thought-about sensible. However a psychologist labored out how one can make them be taught higher, which precipitated quite a lot of pleasure concerning the potential of that method. Nonetheless, that very same pc scientist then confirmed that even these neural networks had basic limitations, they usually decreased in recognition.

    A decade later, some psychologists grew to become fascinated with neural networks as instruments for understanding human cognition, cracked the issue of how one can get them to be taught extra advanced relationships, and neural networks grew to become standard once more. Then, machine studying researchers took an interest within the statistical foundations of studying, and neural networks decreased in recognition. Quickly, extra highly effective computer systems and bigger datasets made it attainable to make use of neural networks to resolve much more difficult issues, bringing us to the current day.

    This back-and-forth between disciplines—the place an unpopular thought in a single self-discipline is picked up and improved upon by researchers in one other self-discipline—is a pleasant illustration of how an interdisciplinary subject like cognitive science can have a huge effect.

    4. We’re nearer than ever to understanding the human thoughts.

    I used to inform my college students that cognitive scientists have made quite a lot of progress in determining how one can ask questions concerning the thoughts, however we’re nonetheless a great distance from having solutions. However now, the progress in AI during the last decade is starting to recommend solutions to a few of our deepest questions on human intelligence.

    Mathematical frameworks like logic and likelihood principle are basic to describing the character of thought and studying, however the summary guidelines and inferences they determine must be carried out in actual human brains. Synthetic neural networks give us vital hints about how which may work. Placing these items collectively will get us remarkably near fulfilling the imaginative and prescient that Descartes and Leibniz had centuries in the past of getting a mathematical framework for describing thought.

    5. There are nonetheless large variations between human minds and AI.

    Regardless of all that progress, fashionable AI nonetheless has some vital gaps. One of many largest regards studying. If you happen to learn aloud all the textual content that’s used to coach right now’s chatbots, it might take tens of hundreds of years. Against this, a human little one learns to be a fluent speaker of their native language in lower than 10 years. That signifies that there’s one thing in human brains that’s totally different from what’s inside our AI algorithms. Determining what that is perhaps is an issue that we examine in my lab, and a preoccupation of many cognitive scientists.

    There are additionally attention-grabbing questions on what precisely it’s that synthetic neural networks are studying, and whether or not they characterize the world in the identical method as us. In some instances, they could be, however in others, we are able to present that they’re fairly totally different. Determining what AI methods know and when they’re more likely to succeed or fail at a job is a good alternative to make use of the strategies that cognitive scientists have honed by finding out people. For a very long time, we now have solely had one species that demonstrated this type of clever conduct, so having one other one to review opens the door to not simply understanding extra about AI however understanding extra about ourselves.


    Get pleasure from our full library of E-book Bites—learn by the authors!—within the Next Big Idea app.

    This text originally appeared in Subsequent Massive Concept Membership journal and is reprinted with permission.




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