Brouwer's Intuitionism

Brouwer's Intuitionism is a philosophy of mathematics that emphasizes that mathematical truths are created by our mental constructions rather than existing independently. It holds that math is fundamentally about our intuitive understanding of numbers and structures, and that statements are only meaningful if we can explicitly construct or verify them. This approach rejects the idea of an external, eternal mathematical universe and focuses on what can be directly known through intuition and constructive methods. Essentially, mathematics is about what we can build and verify in our minds, not about discovering pre-existing truths.