Wittgenstein's critique of the logicist definition of number in the "Tractatus Logico-Philosophicus"

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Title: Wittgenstein's critique of the logicist definition of number in the "Tractatus Logico-Philosophicus"
Authors: Mulvihill, Corey
Date: 2005
Abstract: The goal of this thesis is to present a coherent and exhaustive picture of Wittgenstein's critique of the logicist definition of number as presented by his philosophy of mathematics in the Tractatus Logico-Philosophicus . It does so by considering several critiques that Wittgenstein makes of the logicist's definition of number. Furthermore, this thesis compares Wittgenstein's operational definition of number---the central feature of Wittgenstein's theory---to Church's lambda calculus to demonstrate how Wittgenstein has a similar understanding of arithmetic.
URL: http://hdl.handle.net/10393/27159
http://dx.doi.org/10.20381/ruor-11944
CollectionTh├Ęses, 1910 - 2010 // Theses, 1910 - 2010
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