Why would it not be computable? That seems clearly false. The human brain is ultimately nothing more than a very unique type of computer. It receives input, uses electrical circuits and memory to transform the data, and produces output.
That's a very simplified model for our brain. According to some mathematicians and physicists, there are quantum effects going on in our body and in particular in our brain that invalidate this model. In the end, we still don't know for sure if intelligence is comuputable or not, we only have plausible sounding arguments for both sides.
Do you any links to those mathematicians and physicists? I ask because there is a certain class of quackery that waves quantum effects around as the explanation for everything under the sun, and brain cognition is one of them.
Either way, quantum computing is advancing rapidly (so rapidly there's even an executive order now ordering the use of PQC in government communications as soon as possible), so I don't think that moat would last for long if it even exists. We also know that at a minimum GPT4-strength intelligence is already possible with classical computing.
He's one of the physicists arguing for that, but I still have to read his book to see if I agree or not because right now I'm open to the possibility of having a machine that is intelligent. I'm just saying that no one can be sure of their own position because we lack proof on both sides of the question.
Quantum effects do not make something non-computable. They may just allow for more efficient computation (though even that is very limited). Similarly, having a digit-based number system makes it much faster to add two numbers, but you can still do it even if you use unary.
