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The Phenomenology of Mathematical Proof

  • Gian-Carlo Rota
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

Everybody knows what a mathematical proof is. A proof of a mathematical theorem is a sequence of steps which leads to the desired conclusion. The rules to be followed in this sequence of steps were made explicit when logic was formalized early in this century and they have not changed since. These rules can be used to disprove a putative proof by spotting logical errors; they cannot, however, be used to find the missing proof of a mathematical conjecture.

Keywords

Mathematical Proof Outer Automorphism Existence Proof Finite Simple Group Mathematical Theorem 
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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End Notes

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Gian-Carlo Rota
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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