generalized continuum hypothesis

Meaning

Noun

• 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. $2^\{\backslash aleph\_\backslash alpha\}=\backslash aleph\_\{\backslash alpha+1\}$.

Origin

• Generalization of the continuum hypothesis.