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The '''Continuum hypothesis''' is a conjecture by [[Georg Cantor]] which states that there is no set with cardinality between that of the [[natural number]]s and that of the real numbers (Continuum). [[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 there is no set with [[cardinality]] greater than all the [[natural number]]s but less than the cardinality of the [[real number]]s (Continuum). The cardinality of such a set would be denoted by the Hebrew letter <math>\aleph</math>. Cantor died without knowing the answer to his conjecture. [[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]]