Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:doesNotFollowFrom |
gptkb:Zermelo-Fraenkel_set_theory_with_the_axiom_of_choice_(ZFC)
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:firstStated |
1878
|
| https://www.w3.org/2000/01/rdf-schema#label |
continuum hypothesis
|
| gptkbp:implies |
cardinality of the continuum is aleph one
|
| gptkbp:independenceProvedBy |
gptkb:Kurt_Gödel
gptkb:Paul_Cohen |
| gptkbp:independenceProvedIn |
1940
1963 |
| gptkbp:influenced |
development of modern set theory
|
| gptkbp:listedOn |
first of Hilbert's problems
|
| gptkbp:proposedBy |
gptkb:Georg_Cantor
|
| gptkbp:relatedTo |
gptkb:aleph_numbers
power set cardinality of the continuum |
| gptkbp:state |
There is no set whose cardinality is strictly between that of the integers and the real numbers
|
| gptkbp:status |
independent of ZFC
|
| gptkbp:symbol |
CH
|
| gptkbp:bfsParent |
gptkb:Georg_Cantor
|
| gptkbp:bfsLayer |
4
|