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Varieties of Mathematical Experience

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

Abstract

THERE IS A LIMITIED amount of knowledge, practice, and aspiration which is currently manifested in the thoughts and activites of contemporary mathematicians. The mathematics that is frequently used or is in the process of emerging is part of the current consciousness. This is the material which—to use a metaphor from computer science—is in the high speed memory or storage cells. What is done, created, practiced, at any given moment of time can be viewed in two distinct ways: as part of the larger cultural and intellectual consciousness and milieu, frozen in time, or as part of a changing flow of consciousness.

Keywords

Mathematical Proof Mathematical Experience Pythagorean Theorem Ideal Mathematician Intended Reader 
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 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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