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number > real number > construction of the real numbers
set theory > set > infinite set > construction of the real numbers

Preferred term

construction of the real numbers  

Definition

  • In mathematics, there are several equivalent ways of defining the real numbers. One of them is that they form a complete ordered field that does not contain any smaller complete ordered field. Such a definition does not prove that such a complete ordered field exists, and the existence proof consists of constructing a mathematical structure that satisfies the definition.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Construction_of_the_real_numbers)

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URI

http://data.loterre.fr/ark:/67375/PSR-MQP80Q94-T

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