Continuum hypothesis

The Continuum hypothesis is a conjecture by Georg Cantor which states that the cardinality of the real numbers equals that of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathcal{P}(\mathbb{N})} , the power set of the natural numbers. The cardinality of this set is denoted with the Hebrew letter Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \aleph} . Kurt Godel and Pual Cohen has since shown that the Continuum hypothesis is undecidable in Zermelo-Fraenkel Set Theory. [[category