Is the Geometry of Space Euclidean or Non-Euclidean?

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


Is space Euclidean or non-Euclidean? This question was much discussed around 1900, and we look at Poincaré’s surprising answer that it will be impossible to tell. This is derived from his philosophy of conventionalism, which is conveyed through extensive extracts from his popular essays.


Euclidean Geometry Concrete Object Absolute Criterion Complex Function Theory Explicit Hypothesis 
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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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