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number > natural numbers > set-theoretic definition of natural numbers
set theory > set > infinite set > set-theoretic definition of natural numbers

Preferred term

set-theoretic definition of natural numbers  

Definition

  • In set theory, several ways have been proposed to construct the natural numbers. These include the representation via von Neumann ordinals, commonly employed in axiomatic set theory, and a system based on equinumerosity that was proposed by Gottlob Frege and by Bertrand Russell.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers)

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http://data.loterre.fr/ark:/67375/PSR-ZZP0ZV17-4

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