The nondenumerable set of Real Numbers, denoted . It satisfies

(1) |

(2) |

(3) |

(4) |

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.

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1999-05-26