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Probabilistic Theories of Relations

  • Karl Menger
Chapter
  • 68 Downloads

Abstract

Poincaré repeatedly emphasized that only in the mathematical continuum the equalities A = B and B = C imply the equality A = C. In the observable physical continuum, “equal” means “indistinguishable,” and A = B and B = C by no means imply A = C. “The raw result of experience may be expressed by the relation \(A = B, B = C, A < C\) which may be regarded as the formula for the physical continuum.” According to Poincaré, physical equality is a non-transitive relation.

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Copyright information

© Springer-Verlag Wien 2003

Authors and Affiliations

  • Karl Menger
    • 1
  1. 1.Illinois Institute of TechnologyUSA

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