> time evolution of purely deterministic dynamical processes, very simple ones, which produce behaviors that are provably not computable in any reasonable time and have infinite (informational, not thermodynamic) entropy.

But time evolution isn't relevant. Even supposing such systems exist naturally, you're conflating simulation time with real time.

> You provide examples of flaws in human cognition, which I acknowledge, but pointing them out does nothing to advance the idea that the brain is a computer.

"The brain is a computer" is a very different claim to "the brain can be simulated by a computer". I've only claimed the latter.