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Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Löwenheim–Skolem_theorem
|
| gptkbp:appliesTo |
first-order theories
|
| gptkbp:concerns |
gptkb:first-order_logic
|
| gptkbp:field |
gptkb:logic
model theory |
| gptkbp:generalizes |
gptkb:Downward_Löwenheim–Skolem_theorem
gptkb:Upward_Löwenheim–Skolem_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Gödel–Löwenheim theorem
|
| gptkbp:implies |
non-categoricity of first-order theories with infinite models
|
| gptkbp:namedAfter |
gptkb:Kurt_Gödel
gptkb:Leopold_Löwenheim |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Löwenheim–Skolem_theorem
|
| gptkbp:state |
If a first-order theory has an infinite model, then it has models of all infinite cardinalities
|
| gptkbp:yearProved |
1915
|
| gptkbp:bfsParent |
gptkb:Kurt_Gödel
|
| gptkbp:bfsLayer |
4
|