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Cake day: June 8th, 2024

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  • I explicitly explained that you can model an analog machine using a digital computer. When you make a topological map of a weather system (or a brain) or take a digital picture of a flower, you are generating a model. This is the subject of the articles you linked me.

    No matter how accurate your digital model of a weather system, however, it will never produce rain. The byproduct of Turing machines (digital models) is strictly discrete.

    • Thoughts are a byproduct of brains, just as rain is a byproduct of weather and torque is a byproduct of internal combustion engines.
    • You could generate rain, torque (and maybe thoughts) in various contexts, of course. But not with Turing machines, whose only possible outputs are 1s and 0s.

    You can model digital computers using analog computers. And the reverse is also possible. But digital systems are substrate-independent, whereas analog systems are substrate-dependent. They’re fundamentally inextricable from the stuff of which they’re made.

    On the other hand, digital models aren’t made of stuff. They’re abstract. You can certainly instantiate a digital model within a physical substrate (silicon chips), the way you can print a picture of an engine on a piece of paper, but it won’t produce torque like an actual engine let alone rain like an actual weather system.

    On a separate note, you reallllly need to acquaint yourself with Complexity Theory, if you actually believe our models will ever be anything other than decent estimates.

    To learn more, please take a Theoretical Computer Science course.

    Irreducibility isn’t a part of physics

    Correct. It’s theoretical computer science. Again, analog systems are irreducible to digital ones by definition. They can only be modeled (functionally and crudely).


  • Biological neurons are actually more digital than artificial neural nets are.

    There are three types of computers.

    1. Digital
    2. Analog
    3. Quantum

    Digital means reducible to a Turing machine. Analog, which includes things like flowers and cats, means irreducible by definition. (Otherwise, they would be digital.)

    Brains are analog computers (maybe with some quantum components we don’t understand).

    Making a mathematical model of an analog computer is like taking a digital picture of a flower. That picture is not the same as the flower. It won’t work the same way. It will not produce nectar, for instance, or perform photosynthesis.

    Everything about how a neuron works is completely undigitizable. There’s integration at the axon hillock; there are gooey vesicles full of neurotransmitters whose expression is chemically mediated, dumped into a synaptic cleft of constantly variegated width and brownian motion to activate receptors whose binding affinity isn’t even consistent. The best we can do is build mathematical models that sort of predict what happens next on average.

    These crude neural maps are not themselves engaged in brain activity — the map is not the territory.

    Idk where you got the idea that neurons can be digitized, but someone lied to you.