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Philosophy and Geometry

Theoretical and Historical Issues

  • Book
  • © 2001

Overview

Authors:
  1. Lorenzo Magnani

    1. University of Pavia, Pavia, Italy
      Georgia Institute of Technology, Atlanta, USA

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Part of the book series: The Western Ontario Series in Philosophy of Science (WONS, volume 66)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xix
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  2. At the Origins of Geometrical Knowledge

    • Lorenzo Magnani
    Pages 1-26

  3. Geometry: the Model of Knowledge

    • Lorenzo Magnani
    Pages 27-56

  4. Constructions, Logic, Categories

    • Lorenzo Magnani
    Pages 57-89

  5. The Φαντασία in Ancient Geometrical Knowledge

    • Lorenzo Magnani
    Pages 91-103

  6. Geometry and Convention

    • Lorenzo Magnani
    Pages 105-138

  7. Geometry, Problem Solving, Abduction

    • Lorenzo Magnani
    Pages 139-173

  8. Geometry and Cognition

    • Lorenzo Magnani
    Pages 175-209

  9. Back Matter

    Pages 211-254
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Keywords

About this book

Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this fascinating story of human knowledge, providing a new analysis of the ideas of many scholars (including Plato, Proclus, Kant, and Poincaré), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive scientists, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are dealt with using a novel combination of both historical and contemporary perspectives. Philosophy and Geometry is a valuable contribution to the renaissance of research in the field.

Authors and Affiliations

  • University of Pavia, Pavia, Italy

    Lorenzo Magnani

  • Georgia Institute of Technology, Atlanta, USA

    Lorenzo Magnani

Bibliographic Information

  • Book Title: Philosophy and Geometry

  • Book Subtitle: Theoretical and Historical Issues

  • Authors: Lorenzo Magnani

  • Series Title: The Western Ontario Series in Philosophy of Science

  • DOI: https://doi.org/10.1007/978-94-010-9622-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 2001

  • Softcover ISBN: 978-1-4020-0241-0Published: 30 November 2001

  • eBook ISBN: 978-94-010-9622-5Published: 06 December 2012

  • Series ISSN: 1566-659X

  • Series E-ISSN: 2215-1974

  • Edition Number: 1

  • Number of Pages: XX, 256

  • Topics: Philosophy of Science, History, general, Geometry

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