Philosophy and Geometry

Theoretical and Historical Issues

  • Lorenzo Magnani

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

Table of contents

  1. Front Matter
    Pages i-xix
  2. Lorenzo Magnani
    Pages 1-26
  3. Lorenzo Magnani
    Pages 27-56
  4. Lorenzo Magnani
    Pages 57-89
  5. Lorenzo Magnani
    Pages 105-138
  6. Lorenzo Magnani
    Pages 139-173
  7. Lorenzo Magnani
    Pages 175-209
  8. Back Matter
    Pages 211-254

About this book

Introduction

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.

Keywords

Immanuel Kant Kant Plato Renaissance abduction cognition construction human knowledge inca issue knowledge logic philosophy reason science

Authors and affiliations

  • Lorenzo Magnani
    • 1
    • 2
  1. 1.University of PaviaPaviaItaly
  2. 2.Georgia Institute of TechnologyAtlantaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-9622-5
  • Copyright Information Springer Science+Business Media B.V. 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0241-0
  • Online ISBN 978-94-010-9622-5
  • Series Print ISSN 1566-659X
  • About this book