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set theory > axiom of infinity

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axiom of infinity  

Definition

  • In axiomatic set theory and the branches of mathematics and philosophy that use it, the axiom of infinity is one of the axioms of Zermelo–Fraenkel set theory. It guarantees the existence of at least one infinite set, namely a set containing the natural numbers. It was first published by Ernst Zermelo as part of his set theory in 1908.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Axiom_of_infinity)

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http://data.loterre.fr/ark:/67375/PSR-KLGJXP99-N

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