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

Ian Rumfitt

doi:10.1163/9789401211949_008

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

Ian Rumfitt

Philosophy

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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.

Original language	English
Pages (from-to)	93-108
Number of pages	16
Journal	Grazer Philosophische Studien
Volume	89
Issue number	1
DOIs	https://doi.org/10.1163/9789401211949_008
Publication status	Published - 2014

Bibliographical note

E-ISBN: 9789401211949

Keywords

Brouwer, Wittgenstein, intuitionism, infinity

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10.1163/9789401211949_008

Rumfitt_BROUWER_VERSUS_WITTGENSTEIN_Grazer_Philosophische_Studien_2014
Final published version available at: http://dx.doi.org/10.1163/9789401211949_008 Checked October 2015
Accepted author manuscript, 279 KBLicence: None: All rights reserved

Cite this

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

Abstract

Bibliographical note

Keywords

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