Wittgenstein and Brouwer

Synthese 137 (1):103 - 127 (2003)
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Abstract

In this paper, I present a summary of the philosophical relationship betweenWittgenstein and Brouwer, taking as my point of departure Brouwer's lecture onMarch 10, 1928 in Vienna. I argue that Wittgenstein having at that stage not doneserious philosophical work for years, if one is to understand the impact of thatlecture on him, it is better to compare its content with the remarks on logics andmathematics in the Tractactus. I thus show that Wittgenstein's position, in theTractactus, was already quite close to Brouwer's and that the points of divergence are the basis to Wittgenstein's later criticisms of intuitionism. Among the topics of comparison are the role of intuition in mathematics, rule following, choice sequences, the Law of Excluded Middle, and the primacy of arithmetic over logic.

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Mathieu Marion
Université du Québec à Montréal

References found in this work

S.Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin - 2015 - In Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin, Kant-Lexikon. Berlin: De Gruyter. pp. 1995-2243.
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Philosophical remarks.Ludwig Wittgenstein - 1975 - Chicago: University of Chicago Press. Edited by Rush Rhees.
Ludwig Wittgenstein: The Duty of Genius.Ray Monk - 1990 - New York: Penguin Books.

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