Construction and constitution in mathematics

Mark Van Atten

pp. 265-315

in: Stefania Centrone (ed), Essays on Husserl's logic and philosophy of mathematics, Berlin, Springer, 2017

Abstract

I argue that Brouwer's notion of the construction of purely mathematical objects and Husserl's notion of their constitution by the transcendental subject coincide. Various objections to Brouwer's intuitionism that have been raised in recent phenomenological literature (by Hill, Rosado Haddock, and Tieszen) are addressed. Then I present objections to Gödel's project of founding classical mathematics on transcendental phenomenology. The problem for that project lies not so much in Husserl's insistence on the spontaneous character of the constitution of mathematical objects, or in his refusal to allow an appeal to higher minds, as in the combination of these two attitudes.

Cited authors

Husserl Edmund