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.
| Identifer | oai:union.ndltd.org:uottawa.ca/oai:ruor.uottawa.ca:10393/27159 |
| Date | January 2005 |
| Creators | Mulvihill, Corey |
| Publisher | University of Ottawa (Canada) |
| Source Sets | Université d’Ottawa |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | 137 p. |
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