Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:logic
|
| gptkbp:concerns |
model theory
cardinal numbers |
| gptkbp:consistencyStrength |
between weakly compact and measurable cardinals
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:formedBy |
gptkb:C._C._Chang
|
| gptkbp:generalizes |
gptkb:Löwenheim–Skolem_theorem
|
| gptkbp:hasSpecialCase |
(ℵ_2, ℵ_1) → (ℵ_1, ℵ_0)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chang's Conjecture
|
| gptkbp:implies |
existence of large cardinals
|
| gptkbp:namedAfter |
gptkb:C._C._Chang
|
| gptkbp:notation |
(κ_1, κ_0) → (μ_1, μ_0)
|
| gptkbp:relatedTo |
gptkb:Erdős–Rado_theorem
partition calculus |
| gptkbp:sentence |
If κ is an uncountable cardinal, then (κ^+, κ) → (ω_1, ω) holds.
|
| gptkbp:status |
independent of ZFC
|
| gptkbp:yearProposed |
1965
|
| gptkbp:bfsParent |
gptkb:Chen_Chung_Chang
|
| gptkbp:bfsLayer |
7
|