The nondenumerable set of Real Numbers, denoted . It satisfies
The Continuum Hypothesis, first proposed by Georg Cantor, holds that the Cardinal Number of the continuum is the same as that of Aleph-1. The surprising truth is that this proposition is Undecidable, since neither it nor its converse contradicts the tenets of Set Theory.
See also Aleph-0, Aleph-1, Continuum Hypothesis, Denumerable Set