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Type of Document Dissertation Author Kim, Joongol URN etd-04202004-160320 Title A Philosophical Inquiry into the Concept of Number Degree Doctor of Philosophy Department Philosophy Advisory Committee
Advisor Name Title Michael Detlefsen Committee Co-Chair Patricia Blanchette Committee Co-Chair Keywords
- foundations of arithmetic
- Gottlob Frege
- Bertrand Russell
Date of Defense 2004-04-07 Availability unrestricted Abstract The dissertation is an inquiry into the ontology and epistemology of numbers. As regards the former, the Fregean conception of numbers as objects and the Russellian conception of numbers as higher-level entities are both critically examined. A conception of numbers as modes of existence, that is, ways or manners in which things exist, is introduced and defended instead. As regards the latter, the basic concepts of arithmetic are explicated in terms of pure logic alone, and all the truths of arithmetic are shown to follow from those explications solely by logical means. A new version of logicism in the philosophy of arithmetic is thereby established.Files
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