The Pythagoreans and Irrationality

  • W. S. Anglin
Part of the Undergraduate Texts in Mathematics book series (UTM)


Two lengths a and b are commensurable if there are positive integers p and q such that a/b = p/q. When the Pythagoreans claimed that all things are numbers, they meant to imply that all pairs of lengths are commensurable. For the Pythagoreans, ‘number’ meant ‘rational number’.


Rational Number Integer Solution Diophantine Equation Concise History Unit Fraction 
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 New York 1994

Authors and Affiliations

  • W. S. Anglin
    • 1
  1. 1.Keane Inc.DarienUSA

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