generalized continuum hypothesis
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:abbreviation |
gptkb:GCH
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:generalizes |
gptkb:continuum_hypothesis
|
| https://www.w3.org/2000/01/rdf-schema#label |
generalized continuum hypothesis
|
| gptkbp:independenceProvedBy |
gptkb:Kurt_Gödel
gptkb:Paul_Cohen |
| gptkbp:involves |
gptkb:aleph_numbers
power set cardinal numbers set theory axioms |
| gptkbp:listedOn |
gptkb:Hilbert's_problems
|
| gptkbp:proposedBy |
gptkb:Georg_Cantor
|
| gptkbp:relatedTo |
gptkb:continuum_hypothesis
|
| gptkbp:state |
For every infinite cardinal number κ, there is no cardinal number strictly between κ and 2^κ.
|
| gptkbp:status |
independent of ZFC
|
| gptkbp:yearProposed |
1900
|
| gptkbp:bfsParent |
gptkb:Continuum_hypothesis
|
| gptkbp:bfsLayer |
5
|