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Item Details
Title:
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A SUBJECT WITH NO OBJECT
STRATEGIES FOR NOMINALISTIC INTERPRETATION OF MATHEMATICS |
By: |
John P. Burgess, Gideon Rosen |
Format: |
Paperback |
List price:
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£55.00 |
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£48.13 |
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£6.87 |
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ISBN 10: |
0198250126 |
ISBN 13: |
9780198250128 |
Availability: |
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Publisher: |
OXFORD UNIVERSITY PRESS |
Pub. date: |
2 December, 1999 |
Pages: |
272 |
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 comparativeevaluation. 'a concise and very valuable survey of this part of the present philosophy of mathematics that should be of interest not only for philosophers but also for the working mathematician' Zentralblatt fur Mathematik |
Synopsis: |
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 abstract entities, 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. |
Illustrations: |
diagrams |
Publication: |
UK |
Imprint: |
Oxford University Press |
Returns: |
Returnable |
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