> But quantum theory does appear to be directly related to limits of the
> computations of physical reality.  The uncertainty theory and the
> quantization of quantum states are limitations on what can be computed by
> physical reality.

Not really.  They're limitations on what  measurements of physical
reality can be simultaneously made.

Quantum systems can compute *exactly* the class of Turing computable
functions ... this has been proved according to standard quantum
mechanics math.  however, there are some things they can compute
faster than any Turing machine, in the average case but not the worst
case.

> But, I am old fashioned enough to be more interested in things about the
> brain and AGI that are supported by what would traditionally be considered
> "scientific evidence" or by what can be reasoned or designed from such
> evidence.
>
> If there is any thing that would fit under those headings to support the
> notion of the brain either being infinite, or being an antenna that receives
> decodable information from some infinite-information-content source, I would
> love to hear it.

the key point of the blog post you didn't fully grok, was a careful
argument that (under certain, seemingly reasonable assumptions)
science can never provide evidence in favor of infinite mechanisms...

ben g


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