Intuitionismus

Intuitionism is a philosophy of mathematics that suggests mathematical truths are based on our innate mental constructions rather than abstract objects or formal systems. It emphasizes that numbers and mathematical concepts are known through direct, intuitive insight, and that mathematical existence is tied to our ability to explicitly construct objects. In this view, the validity of a mathematical statement depends on our constructive proof—showing we can build or define the object or proof—rather than relying solely on logic or set-theoretic principles. Overall, intuitionism values the mental, constructive act of understanding mathematics.