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set theory > cardinality > continuum hypothesis
set theory > set > infinite set > continuum hypothesis

Terme préférentiel

continuum hypothesis  

Définition

  • In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states :
    "There is no set whose cardinality is strictly between that of the integers and the real numbers."
    Or equivalently :
    "Any subset of the real numbers is either finite, or countably infinite, or has the cardinality of the real numbers."
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Continuum_hypothesis)

Concept générique

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http://data.loterre.fr/ark:/67375/PSR-SFSW7XPM-D

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RDF/XML TURTLE JSON-LD Date de création 03/07/2023, dernière modification le 18/10/2024