| − | 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). 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. | + | 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. |