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The Continuum hypothesis is a [[theorem]] of [[mathematics]] 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>.

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 [[Pual Cohen]] has since shown that the Continuum hypothesis is undecidable in [[Zermelo-Fraenkel Set Theory]].