From Certainty to Fallibility

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


IF YOU DO mathematics every day, it seems the most natural thing in the world. if you stop to think about what you are doing and what you means, it seems one of the most mysterious. How are we able to tell about things no one has ever seen, and understand them better than the solid objects of daily life? Why is Euclidean geometry still correct, while Aristotelian physics is dead long since? What do we know in mathematics, and how do we know it?


Formal System Euclidean Geometry Mathematical Practice Real Mathematic Axiomatic Method 
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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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