• Emanuel Fischer
Part of the Undergraduate Texts in Mathematics book series (UTM)


If {a,b} and {c,d} are given sets, then {a,b} = {c,d} implies a = c or a = d and b = c or b = d. This was why we referred to {a,b} (cf. Section I.1) as the unordered pair consisting of a and b. By the ordered pair* (a,b) of elements a and b, we mean the set {a,b} together with the ordering of its members in which a is first and b second. We call a the first component or coordinate of (a, b) and b its second.


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Copyright information

© Springer-Verlag New York, Inc. 1983

Authors and Affiliations

  • Emanuel Fischer
    • 1
  1. 1.Department of MathematicsAdelphi UniversityGarden CityUSA

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