result in model theory
C33680
concept
In model theory, a result is a formally proven statement—such as a theorem, lemma, or corollary—about structures, theories, or definable sets that follows from the axioms and logical rules of the framework.
All labels observed (4)
| Label | Occurrences |
|---|---|
| compactness theorem | 4 |
| method in first-order logic | 2 |
| result in model theory canonical | 2 |
| hierarchy of definability | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: result in model theory
Generated description
In model theory, a result is a formally proven statement—such as a theorem, lemma, or corollary—about structures, theories, or definable sets that follows from the axioms and logical rules of the framework.
Instances (9)
| Instance | Via concept surface |
|---|---|
| Tarski’s theorem on the completeness of elementary algebra and geometry | — |
|
Löwenheim–Skolem theorem (via additional arguments)
surface form:
Löwenheim–Skolem theorem
|
— |
| Henkin construction | method in first-order logic |
| Kleene hierarchy | hierarchy of definability |
| Skolemization | method in first-order logic |
| Blaschke selection theorem | compactness theorem |
| Cheeger–Gromov compactness theorem | compactness theorem |
| Hamilton’s compactness theorem for Ricci flow | compactness theorem |
| Arzelà–Ascoli theorem | compactness theorem |