Raw LLM Responses

> Computation can't be reduced to simple equations. The mathematician Gödel held views similar to this; I think you will find the differences between his views and subsequent critique by others interesting. Specifically, Gödel conceded (as pretty much everyone did after Turing) that all "computation" *is* equivalent, governed by the same 'formula'. Furthermore, Gödel agreed that since the brain is a physical machine, it can't have any computational powers beyond that of the idealized computer (Turing equivalence). Next he believed—as you seem to—that his own Incompleteness Theorem (or similarly, the Halting Problem) was not solvable algorithmically but *is* somehow solvable by humans. His resolution to this problem is that humans have *immaterial minds* which can solve GIE/HP type problems, above and beyond our brains, which cannot. In other words, physical/materialism is not true. That last point seems to conflict with your position, though. But if you accept physicalism, you may be in a bind though based on the other steps of this reasoning. (In my personal view and a common one, your error is that *humans can solve the HP*; we can't. We're just computers, but of sufficient complexity and capability that free will is present and meaningful.)