Wittgenstein's Later Philosophy of Mathematics

In Hans-Johann Glock & John Hyman, A Companion to Wittgenstein. Chichester, West Sussex, UK: Wiley-Blackwell. pp. 319–331 (2017)
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Abstract

The philosophy of mathematics was of colossal importance to Wittgenstein. Its problems had a peculiarly strong hold on him; and he seems to have thought that it was in addressing these problems that he produced his greatest work. However robust the distinction between the calculus and the surrounding prose, the prose may infect the calculus; or the prose may infect how we couch the calculus. Yet Wittgenstein's writings in the philosophy of mathematics stand in a curious relation to this self‐assessment. By 1938, he had written an early version of his master‐work Philosophical Investigations, the second half of which was on the philosophy of mathematics. This material did not survive into the version of Philosophical Investigations that was eventually published after his death. Instead it appeared, modified in various ways, along with notes that he wrote during World War II, as Remarks on the Foundations of Mathematics, another posthumous publication, assembled by his literary executors.

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Antionette Moore
University of South Florida

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