generalized continuum hypothesis

noun

The hypothesis that, for each ordinal α, there is no cardinal number strictly between א_α and 2^(א_α), i.e. 2^(א_α)=א_(α+1).

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Meanings

noun
  1. mathematicsThe hypothesis that, for each ordinal α, there is no cardinal number strictly between א_α and 2^(א_α), i.e. 2^(א_α)=א_(α+1).

Origin

A generalization of the continuum hypothesis.

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Cite this entry
APA

generalized continuum hypothesis. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/generalized%20continuum%20hypothesis

MLA

“generalized continuum hypothesis.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/generalized%20continuum%20hypothesis. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “generalized continuum hypothesis,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/generalized%20continuum%20hypothesis.

Source: generalized continuum hypothesis on Wiktionary, CC BY-SA 4.0.