Mulvihill, Corey2013-11-072013-11-0720052005Source: Masters Abstracts International, Volume: 44-06, page: 2566.http://hdl.handle.net/10393/27159http://dx.doi.org/10.20381/ruor-11944The 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.137 p.enPhilosophy.Thesis