Can you just point me to the concrete examples (the most compelling examples in the book would work) where we can see "thinking" that performs something that is currently considered to be beyond the limits of computation?

I never claimed no one speculates that's the case, I claimed there was no evidence. Just cite me a concrete example where the human mind is capable of computing something that violates the theory of computation.

> "There are more things in heaven and earth, Horatio, than are dreamt of in your philosophy"

Fully agree, but you are specifically discussing philosophical statements. And the fact that the only response you have is to continue to pile undefined terms and hand wave metaphysics doesn't do anything to further your point.

You believe that computing machines lack something magical that you can't describe that makes them different than humans. I can't object to your feelings about that, but there is literally nothing to discuss if you can't even define what those things are, hence this discussion is, as the original parent comment mention, is "extremely boring".