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Comment by arowthway

10 days ago

Turing machines are deterministic, brain might not be because of quantum mechanics happening. Of course there is no proof that this is related to creativity.

Turing machines are deterministic if all their inputs are deterministic, which they do not need to be, and if we allow them to be. Indeed, by default, LLMs are by default not deterministic because we intentionally inject randomness.

  • It doesn't mean we can accurately simulate the brain by swapping its source of nondeterminism with any other PRNG or TRNG. It might just so happen that to simulate ingenuity you have to simulate the universe first.

    • If the brain does not exceed the Turing computable, then it does mean it is possible to accurately simulate the brain. Not only that, but in that case the brain itself is existence proof that doing so efficiently is possible.

      If the brain exceeds the Turing computable, then all bets are off, but we have no evidence to suggest it does, nor that doing so is possible. This was in fact my original argument.

      The only viable counter to my argument is demonstrating that there are computable functions outside the Turing computable, and that humans can compute them.