Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Tarski's_undefinability_theorem
|
| gptkbp:appliesTo |
gptkb:Peano_arithmetic
formal languages |
| gptkbp:consequence |
No consistent, sufficiently expressive formal system can define its own truth predicate.
|
| gptkbp:field |
gptkb:logic
model theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Tarski's theorem
|
| gptkbp:influenced |
foundations of mathematics
philosophy of language theory of truth |
| gptkbp:namedAfter |
gptkb:Alfred_Tarski
|
| gptkbp:publishedIn |
1936
|
| gptkbp:relatedTo |
gptkb:Gödel's_incompleteness_theorems
|
| gptkbp:sentence |
Truth in arithmetic cannot be defined within arithmetic itself.
|
| gptkbp:bfsParent |
gptkb:Alfred_Tarski
|
| gptkbp:bfsLayer |
4
|