David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Oxford University Press (1997)
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.
|Categories||categorize this paper)|
|Buy the book||$46.48 used (16% off) $46.49 new (16% off) $51.51 direct from Amazon (7% off) Amazon page|
|Call number||QA8.4.B86 1997|
|ISBN(s)||9780198236153 0198250126 0198236158 9780198250128|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
David Liggins (2008). Quine, Putnam, and the 'Quine-Putnam' Indispensability Argument. Erkenntnis 68 (1):113 - 127.
David Braun (2005). Empty Names, Fictional Names, Mythical Names. Noûs 39 (4):596–631.
Jonathan Schaffer (2007). From Nihilism to Monism. Australasian Journal of Philosophy 85 (2):175 – 191.
Øystein Linnebo (2006). Epistemological Challenges to Mathematical Platonism. Philosophical Studies 129 (3):545-574.
David Liggins (2006). Is There a Good Epistemological Argument Against Platonism? Analysis 66 (290):135–141.
Similar books and articles
Charles Chihara (2010). New Directions for Nominalist Philosophers of Mathematics. Synthese 176 (2):153 - 175.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Thomas Tymoczko (1991). Mathematics, Science and Ontology. Synthese 88 (2):201 - 228.
Charles Chihara (2007). The Burgess-Rosen Critique of Nominalistic Reconstructions. Philosophia Mathematica 15 (1):54--78.
Michael D. Resnik (1999). Review of J. P. Burgess and G. A. Rosen, A Subject With No Object. Strategies for Nominalistic Interpretation of Mathematics. [REVIEW] Noûs 33 (3):505–516.
Bob Hale (1998). Review of J. P. Burgess and G. Rosen, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics. [REVIEW] British Journal for the Philosophy of Science 49 (1):161-167.
Stewart Shapiro (1998). Review of J. P. Burgess and G. A. Rosen, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics. [REVIEW] Notre Dame Journal of Formal Logic 39 (4):600-612.
Charles Parsons (1999). Review of J. P. Burgess and G. A. Rosen, A Subject With No Object. Strategies for Nominalistic Interpretation of Mathematics. [REVIEW] Journal of Symbolic Logic 64 (1):391-394.
Added to index2009-01-28
Total downloads113 ( #8,898 of 1,101,577 )
Recent downloads (6 months)8 ( #28,199 of 1,101,577 )
How can I increase my downloads?