### Definition of Generalized continuum hypothesis

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

¹ Source: wiktionary.com

### Lexicographical Neighbors of Generalized Continuum Hypothesis

 generalismsgeneralissimogeneralissimosgeneralistgeneralisticgeneralistsgeneralitiesgeneralitygeneralizabilitygeneralizable generalizationgeneralizationsgeneralizegeneralizedgeneralized anxiety disordergeneralized continuum hypothesis (current term)generalized epilepsygeneralized seizuregeneralizergeneralizers generalizesgeneralizinggenerallgenerallygenerally accepted accounting practicesgeneralnessgeneralsgenerals of the armygeneralshipgeneralships