Statements (42)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:physicist
|
| gptkbp:bfsLayer |
8
|
| gptkbp:bfsParent |
gptkb:Large_Cardinals
|
| gptkbp:has_impact_on |
the structure of the real line
The structure of the set-theoretic universe |
| https://www.w3.org/2000/01/rdf-schema#label |
Continuum Hypothesis
|
| gptkbp:independence |
gptkb:Paul_Cohen
gptkb:Zermelo-Fraenkel_set_theory_with_the_Axiom_of_Choice From Zermelo-Fraenkel set theory with the Axiom of Choice (ZFC) |
| gptkbp:is_a |
theoretical construct
problem in mathematical logic problem in mathematics central question in set theory fundamental question in set theory hypothesis about infinite cardinalities hypothesis in set theory question about the nature of infinity statement about cardinalities statement about infinite sets theoretical question in mathematics |
| gptkbp:is_associated_with |
gptkb:Cantor's_continuum_hypothesis
|
| gptkbp:is_connected_to |
gptkb:Large_Cardinals
|
| gptkbp:is_considered |
One of the most important problems in mathematics
a major result in set theory |
| gptkbp:is_discussed_in |
Mathematical logic
Set theory literature mathematical literature |
| gptkbp:is_part_of |
Hilbert's problems
|
| gptkbp:is_related_to |
gptkb:collection
Cantor's theorem cardinal numbers the concept of continuum |
| gptkbp:issues |
size of sets
cardinality of sets Size of the continuum |
| gptkbp:proposed_by |
gptkb:Georg_Cantor
|
| gptkbp:related_to |
gptkb:Cardinal
Set theory |
| gptkbp:state |
There is no set whose cardinality is strictly between that of the integers and the real numbers.
there is no set whose cardinality is strictly between that of the integers and the real numbers there is no set whose cardinality is strictly between that of the integers and the real numbers. |
| gptkbp:was |
gptkb:independent_by_Paul_Cohen
|