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The Oxford Handbook of Philosophy of Mathematics and Logic$
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Stewart Shapiro

Print publication date: 2005

Print ISBN-13: 9780195148770

Published to Oxford Scholarship Online: July 2005

DOI: 10.1093/0195148770.001.0001

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Wittgenstein on Philosophy of Logic and Mathematics

Wittgenstein on Philosophy of Logic and Mathematics

Chapter:
(p.75) Wittgenstein on Philosophy of Logic and Mathematics
Source:
The Oxford Handbook of Philosophy of Mathematics and Logic
Author(s):

Juliet Floyd (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195148770.003.0004

This article is a survey of Wittgenstein’s writings on logic and mathematics; an analytical bibliography of contemporary articles on rule-following, social constructivism, Wittgenstein, Gödel, and constructivism is appended. Various historical accounts of the nature of mathematical knowledge have glossed over the effects of linguistic expression on our understanding of its status and content. Initially Wittgenstein rejected Frege’s and Russell’s logicism, aiming to operationalize the notions of logical consequence, necessity, and sense. Vienna positivists took this to place analysis of meaning at the heart of philosophy, while Ramsey took extensionalism to result. Wittgenstein’s interest in rule-following emerged through his reactions to these attempted appropriations.

Keywords:   Wittgenstein, logic, mathematics, rule-following, Gödel, Frege, Russell, consequence, Vienna positivists, Ramsey

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