Brouwer

Philosophy

Mathematical Intuitionism and Anti-Realism Compared and Contrasted

Mathematical intuitionism (which is a subset of mathematical constructivism) has it (or had it) that mathematics is purely the result of the mental activities of human beings; not the discovery of mathematical entities which exist in an “objective” (or Platonic) realm. In terms of L. E. J. Brouwer’s original

Philosophy

Beginner’s Guide to Mathematical Constructivism

The foundational crisis in mathematics along with roughly four decades following it, was likely the most fertile period in the history of logic and studies in the foundations. After discovering the set-theoretic paradoxes, such as the paradox of the set of all sets, together with the logical ones, like Russell’