Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
cardinality of infinite sets
|
| gptkbp:firstProblemOf |
gptkb:Hilbert's_problems
|
| gptkbp:formedBy |
gptkb:Georg_Cantor
1878 |
| https://www.w3.org/2000/01/rdf-schema#label |
Continuum Hypothesis
|
| gptkbp:implies |
cardinality of the continuum is aleph-one
|
| gptkbp:independenceDate |
gptkb:Zermelo-Fraenkel_set_theory_with_the_Axiom_of_Choice_(ZFC)
|
| gptkbp:independenceProvedBy |
gptkb:Kurt_Gödel
gptkb:Paul_Cohen |
| gptkbp:independenceProvedInYear |
1940
1963 |
| gptkbp:influenced |
development of modern set theory
|
| gptkbp:negationImplies |
existence of intermediate cardinalities
|
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:set_theory
gptkb:aleph_numbers cardinal numbers |
| gptkbp:state |
There is no set whose cardinality is strictly between that of the integers and the real numbers
|
| gptkbp:statusInZFC |
undecidable
|
| gptkbp:symbol |
CH
|
| gptkbp:bfsParent |
gptkb:Set_theory
|
| gptkbp:bfsLayer |
5
|