Mathematical Reality

  • Philip J. Davis
  • Reuben Hersh
  • Elena Anne Marchisotto
Part of the Modern Birkhäuser Classics book series (MBC)


Let us look at some specific examples of mathematical work and see what philosophical lessons we can draw from them. We will find that the activity of mathematical research forces a recognition of the objectivity of mathematical truth. The "Platonism" of the working mathematician is not really a belief in Plato's myth; it is just an awareness of the refractory nature, the stubbornness of mathematical facts. They are what they are, not what we wish them to be.


Simple Group Mathematical Object Rigorous Proof Riemann Hypothesis Finite Simple Group 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Philip J. Davis
    • 1
  • Reuben Hersh
    • 2
  • Elena Anne Marchisotto
    • 3
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA
  2. 2.Department of Mathematics and StatisticsUniversity of New MexicoAlbuquerqueUSA
  3. 3.Department of MathematicsCalifornia State University, NorthridgeNorthridgeUSA

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