> You need to be a bit more expansive. Turing-computable functions need to halt and return eventually. (And they need to be proven to halt.)
This is pedantry. Any non-halting function can be decomposed into a step function and a loop. What matters is that step function. But ignoring that, human existence halts, and so human thought processes can be treated as a singular function that halts.
> Depends on which AI models you are talking about? When generating content, humans have access to vastly more computational resources than current AI models. To give a really silly example: as a human I can swirl some water around in a bucket and be inspired by the sight. A current AI model does not have the computational resources to simulate the bucket of water (nor does it have a robotic arm and a camera to interact with the real thing instead.)
An AI model does not have computational resources. It's a bunch of numbers. The point is not the actual execution but theoretical computational power if unconstrained by execution environment.
The Church-Turing thesis also presupposes an unlimited amount of time and storage.
Basically, what the brain can do in reasonable amounts of time (eg polynomial time), computers can also do in polynomial time. To make it a thesis something like this might work: "no physically realisable computing machine (including the brain) can do more in polynomial time than BQP already allows" https://en.wikipedia.org/wiki/BQP
If people were claiming that a computer might be able to, but will be to slow, that might be an angle to take, but to date, in these discussions, none of the people arguing that brains can do more have argued that they're just more efficient, but that they inherently have more capabilities, so it's an unnecessarily convoluted argument.
This is pedantry. Any non-halting function can be decomposed into a step function and a loop. What matters is that step function. But ignoring that, human existence halts, and so human thought processes can be treated as a singular function that halts.
> Depends on which AI models you are talking about? When generating content, humans have access to vastly more computational resources than current AI models. To give a really silly example: as a human I can swirl some water around in a bucket and be inspired by the sight. A current AI model does not have the computational resources to simulate the bucket of water (nor does it have a robotic arm and a camera to interact with the real thing instead.)
An AI model does not have computational resources. It's a bunch of numbers. The point is not the actual execution but theoretical computational power if unconstrained by execution environment.
The Church-Turing thesis also presupposes an unlimited amount of time and storage.