Metodo

International Studies in Phenomenology and Philosophy

Series | Book | Chapter

179005

The genesis of mathematical objects, following Weyl and Brouwer

Dirk van Dalen

pp. 77-85

Abstract

Almost a century ago, Brouwer launched his first intuitionistic programme for mathematics. He did so in his dissertation of 1907, where he formulated the basic act of creation of mathematical objects, known as the ur-intuition of mathematics. Mathematics, in Brouwer's view, was an intellectual activity of men (of the subject), independent of language and logic. The objects of mathematics come first in the process of human cognition, and description and systematization (in particular logic) follow later. The formulation of the ur-intuition is somewhat hermetic, but in view of its fundamental role, let us reproduce it here.

Publication details

Published in:

(2010) Causality, meaningful complexity and embodied cognition. Dordrecht, Springer.

Pages: 77-85

DOI: 10.1007/978-90-481-3529-5_4

Full citation:

van Dalen Dirk (2010) „The genesis of mathematical objects, following Weyl and Brouwer“, In: , Causality, meaningful complexity and embodied cognition, Dordrecht, Springer, 77–85.