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What is Geometry? Is it True? Why is it Important?

  • Jeremy Gray
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

We look briefly at truth versus proof in geometry, at the controversy between Gottlob Frege and Hilbert, and at the idea of a relative consistency proof.

Extract: Poincaré on the relative consistency of Euclidean and non-Euclidean geometry.

Keywords

Euclidean Geometry Projective Geometry Axiom System Relative Consistency Pure Logic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Department of MathematicsThe Open UniversityWalton Hall, Milton KeynesUnited Kingdom
  2. 2.The Mathematics InstituteThe University of WarwickWarwickUnited Kingdom

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