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The '''Continuum hypothesis''' is a conjecture by [[Georg Cantor]] which states that the cardinality of the real numbers equals that of <math>\mathcal{P}(\mathbb{N})</math>, the power set of the [[natural numbers]]. The cardinality of this set is denoted with the Hebrew letter <math>\aleph</math>.  [[Kurt Godel]] and [[Paul Cohen]] has since shown that the Continuum hypothesis is undecidable in [[Zermelo-Fraenkel Set Theory]].

The '''Continuum hypothesis''' is a conjecture by [[Georg Cantor]] which states that the cardinality of the real numbers (Continuum) equals that of <math>\mathcal{P}(\mathbb{N})</math>, the power set of the [[natural numbers]]. The cardinality of this set is denoted with the Hebrew letter <math>\aleph</math>.  [[Kurt Godel]] and [[Paul Cohen]] has since shown that the Continuum hypothesis is undecidable in [[Zermelo-Fraenkel Set Theory]].

[[category:set theory]]

[[category:set theory]]