Abandoning notions of boolean and aristotelian logic at the outset is the first step toward success in understanding developments.

Children have to invent their own logic, and then discover words that fit it. Only later do they learn about other logics, and adjust. Most never get to Boole, never mind Aristotle, but what they have works well enough for what they expect of it. At the same time, they are inventing causality, which formal logic still has not absorbed, and that most statisticians remain deeply suspicious of.