A Subject With No Object
Strategies for Nominalistic Interpretation of Mathematics
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Product details:
- Publisher Clarendon Press
- Date of Publication 16 January 1997
- ISBN 9780198236153
- Binding Hardback
- No. of pages272 pages
- Size 226x145x20 mm
- Weight 500 g
- Language English
- Illustrations line drawings 0
Categories
Short description:
A Subject With No Object is a study of philosophical attempts to interpret mathematics in nominalistic terms, that is: to give an account of mathematics in terms of the doctrine that there are no such things as mathematical objects. Clear, concise, critical accounts are given of the various versions of nominalism that have played a significant role in the philosophy of mathematics in recent decades, making possible for the first time a proper comparative evaluation.
MoreLong description:
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.
A Subject With No Object cuts through a host of technicalities that have obscured previous discussions of these projects, and presents clear, concise accounts, with minimal prerequisites, 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.
John P. Burgess amd Gideon Rosen, A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics. ,,, works on Nominalism have come to dominate the philosophy of mathematics, so a work that organizes the material is useful. ... It is rare to find such a comprehensive, and fair, account of a position for which the authors (on their own account) have little sympathy. ... it contains, for a little book, an astonishing amount of information about philosophy and many other things, from Einstein to Latour.
