Brouwer’s Theory of Intuitionism

Brouwer's Theory of Intuitionism suggests that mathematics is a creation of the human mind, focusing on our mental constructions rather than external truths. In this view, a mathematical statement is only true if we can construct a proof for it. This leads to intuitionistic logic, which differs from classical logic by rejecting the law of excluded middle—meaning something isn't necessarily true or false if we can't prove it. Thus, intuitionism emphasizes the process of constructing knowledge step-by-step, reflecting how we experience and understand mathematics in an intuitive and personal way.