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Wittgenstein's Philosophy of Mathematics
Published online by Cambridge University Press: 23 July 2021
Summary
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Keywords
Wittgensteinrule-followingphilosophy of mathematicshistory and philosophy of mathematicslogicismmeaning in mathematicssurveyabilityrealism in mathematicsmathematical knowledgelogical necessitymathematical necessitylanguage and mathematicsfoundations of mathematicsphilosophy of logiclogic and communicationmathematics and languagenaturalism in philosophy of mathematicsphilosophy of mathematical practiceA12B34C56D78E90
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- Online ISBN: 9781108687126Publisher: Cambridge University PressPrint publication: 12 August 2021
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