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The Nature of Mathematical Knowledge - Philip Kitcher

The Nature of Mathematical Knowledge

Paperback Published: 7th February 1985
ISBN: 9780195035414
Number Of Pages: 300

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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 knowledge and 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.

Industry Reviews

"Outstanding--clear, readable, and convincing."--Patricia Churchland, University of California, San Diego "Does an excellent job of tracing the evolution of mathematical rigor. It is a must for the entire academic community."--R.L. Pour, Emory and Henry College "A valuable and important book...It is a pleasure to see Philip Kitcher making such an original contribution to the philosophy of mathematics, and to general philosophy also. All told, it marks him as having one of the freshest minds at work in Anglo-American philosophy today."--Nature "A truly fascinating account."--Library Journal "An impressive display of erudition and philosophical acuity....Should play a significant role in both the philosophy and historiography of mathematics."--British Journal for the Philosophy of Science "Outstanding--clear, readable, and convincing."--Patricia Churchland, University of California, San Diego "Does an excellent job of tracing the evolution of mathematical rigor. It is a must for the entire academic community."--R.L. Pour, Emory and Henry College "A valuable and important book...It is a pleasure to see Philip Kitcher making such an original contribution to the philosophy of mathematics, and to general philosophy also. All told, it marks him as having one of the freshest minds at work in Anglo-American philosophy today."--Nature "A truly fascinating account."--Library Journal "An impressive display of erudition and philosophical acuity....Should play a significant role in both the philosophy and historiography of mathematics."--British Journal for the Philosophy of Science "A book of unusual importance, which should stimulate creative dialogue among historians of mathematics, philosophers of mathematics, and the community of mathematicians." --Historia Mathematica

Preface
Introductionp. 3
Epistemological Preliminariesp. 13
The Apriorist Programp. 36
Mathematical Intuitionp. 49
Conceptualismp. 65
Toward a Defensible Empiricismp. 88
Mathematical Realityp. 101
Mathematical Change and Scientific Changep. 149
Mathematical Changesp. 178
Patterns of Mathematical Changep. 193
The Development of Analysis: A Case Studyp. 229
Bibliographyp. 272
Indexp. 281
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780195035414
ISBN-10: 0195035410
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 300
Published: 7th February 1985
Publisher: Oxford University Press Inc
Country of Publication: US
Dimensions (cm): 21.72 x 13.89  x 1.93
Weight (kg): 0.26

Earn 165 Qantas Points
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