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generalized continuum hypothesis

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).

Noun

generalized continuum hypothesis

  1. 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).

Origin of generalized continuum hypothesis

A generalization of the continuum hypothesis.

Questions about generalized continuum hypothesis

What does generalized continuum hypothesis mean?
Generalized continuum hypothesis means 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).
What part of speech is generalized continuum hypothesis?
Generalized continuum hypothesis is a noun.

Words near generalized continuum hypothesis in the dictionary

  1. generalized anxiety disorders
  2. generalized circle
  3. generalized circles
  4. generalized continued fraction
  5. generalized continued fractions
  6. generalized continuum hypothesis
  7. generalized element
  8. generalized elements
  9. generalized estimating equation
  10. generalized estimating equations
  11. generalized search tree

Source and license

Adapted from Wiktionary: generalized continuum hypothesis (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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