L.E.J. Brouwer

L.E.J. Brouwer was a Dutch mathematician and philosopher known for founding intuitionistic logic, a framework that emphasizes constructive proof. Unlike classical logic, which accepts the law of excluded middle (every statement is either true or false), intuitionism requires that to prove something is true, one must be able to construct an example. Brouwer believed that mathematics is a creation of the human mind rather than a discovery of pre-existing truths. His ideas had a significant impact on the philosophy of mathematics, influencing how mathematicians approach proof and understanding the nature of mathematical truth.