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Canonical static concept record

Generalized continuum hypothesis

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Summary

The assertion $2^\kappa=\kappa^+$ for every infinite cardinal $\kappa$ .

Record metadata

Canonical name: Generalized continuum hypothesis
Concept ID: generalized_continuum_hypothesis
Content version: 2.3.0
Primary field: Mathematics
Fields: Mathematics
Primary domain: Set theory
Domains: Set theory, Logic
Alternate terminology: No alternate terminology is currently authored for this record.
Concept type: Independent statement

Carrier(s)

set-theoretic statement

Notes

GCH implies CH and is independent of ZFC, relative to the consistency of ZFC.

Concept sources

Wikipedia — Continuum hypothesis — Continuum hypothesis · encyclopedic reference · source ID wp-continuum-hypothesis
Stanford Encyclopedia of Philosophy — Set Theory — Set Theory · scholarly reference · source ID sep-set-theory

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