Concept information
Preferred term
continuum hypothesis
Definition
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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)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-SFSW7XPM-D
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