Mathematical intuitionism

Mathematical intuitionism is a philosophy that views mathematics as a mental construct rooted in our ability to perceive and intuitively grasp basic logical constructions. It emphasizes that mathematical objects are not independent entities existing outside the mind but are created through our constructive processes. For intuitionists, a mathematical statement is only true if we can explicitly construct a proof of it, and they reject ideas like the law of excluded middle (which says a statement is either true or false without a proof). Overall, intuitionism emphasizes the importance of constructive reasoning and the human experience of mathematical discovery.