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The nature of mathematical knowledge / Philip Kitcher

Main Author Kitcher, Philip Country Estados Unidos. Publication New York : Oxford University Press, 1984 Description VIII, 287 p. ; 20 cm ISBN 0-19-503541-0 CDU 510.21
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Item type Current location Call number Status Date due Barcode Item holds
Monografia Biblioteca de Ciências da Educação
BCE 510.21 - K Available 40846
Total holds: 0

Enhanced descriptions from Syndetics:

This book argues against the view that mathematical knowledge is a priori, contending that mathematics is an empirical science and develops historically, just as natural sciences do. Kitcher presents a complete, systematic, and richly detailed account of the nature of mathematical knowledgeand its historical development, focusing on such neglected issues as how and why mathematical language changes, why certain questions assume overriding importance, and how standards of proof are modified.

Table of contents provided by Syndetics

  • Preface
  • Introduction (p. 3)
  • 1 Epistemological Preliminaries (p. 13)
  • 2 The Apriorist Program (p. 36)
  • 3 Mathematical Intuition (p. 49)
  • 4 Conceptualism (p. 65)
  • 5 Toward a Defensible Empiricism (p. 88)
  • 6 Mathematical Reality (p. 101)
  • 7 Mathematical Change and Scientific Change (p. 149)
  • 8 Mathematical Changes (p. 178)
  • 9 Patterns of Mathematical Change (p. 193)
  • 10 The Development of Analysis: A Case Study (p. 229)
  • Bibliography (p. 272)
  • Index (p. 281)

Author notes provided by Syndetics

Philip Kitcher is at University of California, San Diego.

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