A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics

Oxford University Press (1997)
Abstract
Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obscured previous discussions of these projects, and presents clear, concise accounts of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed.
Keywords Mathematics Philosophy
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Reprint years 1999
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Call number QA8.4.B86 1997
ISBN(s) 9780198236153   0198250126   0198236158   9780198250128  
DOI 10.2307/2653551
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From Nihilism to Monism.Jonathan Schaffer - 2007 - Australasian Journal of Philosophy 85 (2):175 – 191.
Epistemological Challenges to Mathematical Platonism.Øystein Linnebo - 2006 - Philosophical Studies 129 (3):545-574.

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