Logic a fundamentally different process of intellectual productivity, which is why mathematicians don’t see proving and reasoning as the same thing. Formal meth

Logic a fundamentally different process of intellectual productivity, which is why mathematicians don’t see proving and reasoning as the same thing. Formal methods weren't even widespread until late in mathematical history, yet somehow we had mathematical productivity. Mathematicians can scarcely describe their own thinking process, and proving is often the last step to mathematical reasoning. Talking about logical fallacy in ordinary conversation is backward.