Philosophy and Geometry

Philosophy and Geometry : Theoretical and Historical Issues

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Description

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 Poincare), 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.
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Product details

  • Hardback | 256 pages
  • 157.48 x 236.22 x 22.86mm | 544.31g
  • Dordrecht, Netherlands, United States
  • English
  • 2001 ed.
  • biography
  • 0792369335
  • 9780792369332

Review quote

From the reviews: "In this book different points of view with respect to geometry are combined. This mix of approaches from philosophy, history, mathematic, psychology and cognitive science with references to logic and computational models of geometry, represents a ] the strength of the book. a ] the authora (TM)s erudition is impressive. a ] Undoubtedly the book is good medicine against one-sided views of what geometry is." (Teun Koetsier, Zentralblatt MATH, Vol. 1045 (20), 2004)
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Table of contents

1. At the Origins of Geometrical Knowledge. 2. Geometry: the Model of Knowledge. 3. Constructions, Logic, Categories. 4. The alphantaualphasigmaialpha in Ancient Geometrical Knowledge. 5. Geometry and Convention. 6. Geometry, Problem Solving, Abduction. 7. Geometry and Cognition. References. Author Index. Subject Index.
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