Still Intuition: Apriorism Persistence

Abstract

In his most important philosophical work, The World as Will and Representation, Arthur Schopenhauer (2005), following Immanuel Kant who identified space and time intuitions as a priori, considered that Mathematics could not be truth statements as processes born from experience but, as the Illustrated philosopher did, let experience (a posteriori) the rational process and phenomena explanation. However, at the beginning of the 20^th Century, A. Whitehead and Bertrand Russell made the effort to bring Mathematics a foundation in Logic, a rational process, contradicting the intuitive fact in which Mathematics have their foundations as truth being aprioristic. Mathematical demonstration could not be a foundation for Mathematics if it stays as a rational process and if a sense of truth could be followed for Mathematics.