> Human minds can acquire, hold and use axioms as building blocks for actual reasoning, LLMs use statistical likelihood.

This is not even slightly true. Even when trying, humans commit logical mistakes at notable rates, because the behavior of our minds is inherently nondeterministic. Human minds are not built for logic and need to twist themselves into knots and rely on symbolic representations to do it. There is such a thing as valid reasoning - predicate calculus, decision theory - and humans only emulate it with some accuracy, in hacky ways, and only because our brains were imperfectly taught to do that over millenia of evolutionary pressure. LLMs are much the same way.