 Constructivism (philosophy of mathematics)

Constructivism in the philosophy of mathematics is a viewpoint that emphasizes the importance of constructive proofs and methods in mathematical practice. Constructivists assert that mathematical objects do not exist unless they can be explicitly constructed or demonstrated through a finite procedure. This philosophical stance diverges from classical mathematics, which often accepts the existence of mathematical objects based on non-constructive proofs, such as those that rely on the law of excluded middle or other principles that do not provide an explicit construction.