> humans commit logical mistakes at notable rates
But then again, maybe to support your point people frequently say "start from first principles" when those are usually the thing that needs to be found, not the place you start. But LLMs, like humans, love to be confident about things they aren't sufficiently trained on
Equally, even if your axioms are right your logical execution can still fail.
Neither individual humans nor LLMs get either of those steps right as a default. Just as LLMs must use hacky CoT and other systems of error checking and correcting to even begin to emulate reasoning, humans must do the same thing.
We are apes. We are driven by emotion and solve problems either when we are forced to or as a sport. We did create the ultimate automata of logical execution: the deterministic von Neumann Machine, but a human brain in no way reflects that operation. Nor, as you have observed, does an LLM despite using one as its substrate.