From Whole Numbers to Rational Numbers

  • Saunders Mac Lane

Abstract

Various human activities such as listing, counting, and comparing lead, as we saw, to the natural numbers
$$ N = \{ 0,1,2,3,4, \ldots \} $$
and to the operations of addition, multiplication, and exponentiation on these numbers. These operations have a variety of general properties. For example, addition for all natural numbers k, m, and n satisfies the equations
$$ m + 0 = m,m + n = n + m, $$
(1)
$$ k + (m + n) = (k + m) + n. $$
(2)

Keywords

Prefix Fermat 

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Copyright information

© Springer-Verlag New York Inc. 1986

Authors and Affiliations

  • Saunders Mac Lane
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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