1 Introduction: Three Faces of Intuitionism. Intuitionism, a revisionary movement in the foundations of mathematics, holds that mathematics and its objects must be humanly graspable. L. E. J. Brouwer founded it in his 1907 dissertation.

Who invented intuitionism?

Intuitionism, school of mathematical thought introduced by the 20th-century Dutch mathematician L.E.J. Brouwer that contends the primary objects of mathematical discourse are mental constructions governed by self-evident laws.

Why is intuitionism a form of constructivism?

Constructivism is often identified with intuitionism, although intuitionism is only one constructivist program. Intuitionism maintains that the foundations of mathematics lie in the individual mathematician's intuition, thereby making mathematics into an intrinsically subjective activity.