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A Subject With No Object Strategies for Nominalistic Interpretation of Mathematics

by John P. Burgess

  • ISBN: 9780198250128
  • ISBN10: 0198250126

A Subject With No Object Strategies for Nominalistic Interpretation of Mathematics

by John P. Burgess

  • Binding: Paperback
  • Publisher: Oxford Univ Pr
  • Publish date: 05/01/2000
  • ISBN: 9780198250128
  • ISBN10: 0198250126
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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 white 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.
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