Lexic.us

Definition of Generalized continuum hypothesis

1. Noun. (set theory) The hypothesis that, for each ordinal $\backslash alpha$, there is no cardinal number strictly between $\backslash aleph\_\backslash alpha$ and $2^\{\backslash aleph\_\backslash alpha\}$, i.e. $2^\{\backslash aleph\_\backslash alpha\}=\backslash aleph\_\{\backslash alpha+1\}$. ¹

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