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Euclid and His Twentieth Century Rivals

- Diagrams in the Logic of Euclidean Geometry

af Nathaniel Miller
Euclid and His Twentieth Century Rivals af Nathaniel Miller
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Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to his use of diagrams. This work discusses the history of such diagrams in Euclidean geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9781575865089
  • Indbinding:
  • Paperback
  • Sideantal:
  • 119
  • Udgivet:
  • 1. April 2007
  • Udgave:
  • Størrelse:
  • 16x23x1 mm.
  • Vægt:
  • 198 g.
  • Ukendt - mangler pt..

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Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to his use of diagrams. This work discusses the history of such diagrams in Euclidean geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously.

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