Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:logic
model theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Vaught's conjecture
|
| gptkbp:namedAfter |
gptkb:Robert_Lawson_Vaught
|
| gptkbp:proposedBy |
gptkb:Robert_Lawson_Vaught
|
| gptkbp:relatedTo |
gptkb:Löwenheim–Skolem_theorem
gptkb:Morley's_categoricity_theorem |
| gptkbp:sentence |
For any complete first-order theory in a countable language, the number of countable models is either finite, countably infinite, or continuum many.
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1961
|
| gptkbp:bfsParent |
gptkb:Robert_Vaught
|
| gptkbp:bfsLayer |
5
|