continuum hypothesis
Sign in to saveAlso known as Hilbert's first problem
hypothesis that no set has a cardinality between that of the integers and that of the real numbers
Wikidata facts
- Instance of
- axiom
- Named after
- cardinality of the continuum
Show 7 more facts
- discoverer or inventor
- Georg Cantor
- solved by
- Paul Cohen
- time of discovery or invention
- 1877-00-00
- has characteristic
- independence
- short name
- HC
- maintained by WikiProject
- WikiProject Mathematics
- studied by
- set theory
Sources (2)
via Wikidata · CC0
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Encyclopedic overview
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.
Excerpted from Wikipedia’s “continuum hypothesis” article, available under the CC BY-SA 4.0 licence.