A subject with no object : strategies for nominalistic interpretation of mathematics

John P. Burgess and Gideon Rosen

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.

「Nielsen BookData」より

[目次]

  • Preface
  • PART I: PHILOSOPHICAL AND TECHNICAL BACKGROUND
  • A. Introduction
  • B. A Common Framework for Strategies
  • PART II: THREE MAJOR STRATEGIES
  • A. A Geometric Strategy
  • B. A Purely Modal Strategy
  • C. A Mixed Modal Strategy
  • PART III: FURTHER STRATEGIES AND A PROVISIONAL ASSESSMENT
  • A. Miscellaneous Strategies
  • B. Strategies in the Literature
  • C. Conclusion
  • Bibliography
  • Index

「Nielsen BookData」より

この本の情報

書名 A subject with no object : strategies for nominalistic interpretation of mathematics
著作者等 Burgess, John P.
Rosen, Gideon A.
Rosen Gideon
出版元 Clarendon Press
刊行年月 1999
ページ数 x, 259 p.
大きさ 22 cm
ISBN 0198250126
NCID BA50609380
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言語 英語
出版国 イギリス
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