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Sets and Functions

  • Roger Godement
Part of the Universitext book series (UTX)

Abstract

It is generally understood that mathematicians concern themselves with objects or concepts about which they establish theorems by applying logical, preferably irrebuttable, arguments. This last detail , which remained theoretical for a long time, apart from in the theory of numbers and in the elementary geometry inherited from the Greeks, has always scared the majority of people, accustomed as they are to produce and hear daily, even in exalted intellectual activities, tens of argument s each more contestable than the other : life in society would be impossible if everyone had to provide incontrovertible proofs of his assert ions and to express himself clearly and without ambiguity1.

Keywords

Rational Number Mathematical Object Decimal Expansion Cont Radiction Signed Integer 
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-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Roger Godement
    • 1
  1. 1.Département de MathématiquesUniversité Paris VIIParis Cedex 05France

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