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Philosophy and Geometry

  • Kartonierter Einband
  • 276 Seiten
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Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the ph... Weiterlesen
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Beschreibung

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.

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

Produktinformationen

Titel: Philosophy and Geometry
Untertitel: Theoretical and Historical Issues
Autor:
EAN: 9781402002410
ISBN: 1402002416
Format: Kartonierter Einband
Herausgeber: Springer Netherlands
Anzahl Seiten: 276
Gewicht: 423g
Größe: H235mm x B155mm x T14mm
Jahr: 2001
Auflage: Softcover reprint of the original 1st ed. 2001

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