Description

Book Synopsis
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 howstandards of proof are modified.

Trade Review
"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

The Nature of Mathematical Knowledge

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    Order before 4pm today for delivery by Mon 29 Jun 2026.

    A Paperback by Philip Kitcher

    15 in stock


      View other formats and editions of The Nature of Mathematical Knowledge by Philip Kitcher

      Publisher: Oxford University Press, USA
      Publication Date: 4/11/1985 12:00:00 AM
      ISBN13: 9780195035414, 978-0195035414
      ISBN10: 0195035410
      Also in:
      Mathematics

      Description

      Book Synopsis
      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 howstandards of proof are modified.

      Trade Review
      "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

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