This happened to Kant. In Critique of Pure Reason, he presents Euclidean geometry as a set of incontestable, fundamental truths that human beings understand int

This happened to Kant. In Critique of Pure Reason, he presents Euclidean geometry as a set of incontestable, fundamental truths that human beings understand intuitively, and uses that as a launching point to argue for the existence of an ideal universe outside of our own perceptions and experience. Problem is, Euclid's parallel postulate is contradicted by observable evidence, as per general relativity. Other fundamental logical ideas about causality seem to be contradicted by experiments involving quantum mechanics. For science to work, though, we do have to take one thing on faith: That the universe can be understood through observation. Everything else, even logic, is fair game.