Wittgenstein's critique of the logicist definition of number in the 'Tractatus Logico-Philosophicus' |
Posted on:2006-07-06 | Degree:M.A | Type:Thesis |
University:University of Ottawa (Canada) | Candidate:Mulvihill, Corey | Full Text:PDF |
GTID:2455390008950208 | Subject:Philosophy |
Abstract/Summary: | |
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. |
Keywords/Search Tags: | Wittgenstein, Logicist definition, Tractatus logico-philosophicus |
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