Brouwer versus Wittgenstein on the Infinite and the Law of Excluded Middle

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Authors

Colleges, School and Institutes

Abstract

Wittgenstein and Brouwer were agreed that some of the higher mathematics of their day rested upon a projection into the infinite of methods that legitimately apply only within finite domains. In this paper, I compare and assess the different treatments the two philosophers give of problematic cases involving infinity.

Bibliographic note

E-ISBN: 9789401211949

Details

Original languageEnglish
Pages (from-to)93-108
Number of pages16
JournalGrazer Philosophische Studien
Volume89
Issue number1
Publication statusPublished - 2014

Keywords

  • Brouwer, Wittgenstein, intuitionism, infinity