Tarski's undefinability theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
formal languages
first-order arithmetic |
| gptkbp:consequence |
semantic paradoxes in formal systems
truth predicate for arithmetic is not arithmetically definable |
| gptkbp:field |
gptkb:logic
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tarski's undefinability theorem
|
| gptkbp:implies |
no consistent sufficiently expressive formal system can define its own truth predicate
|
| gptkbp:influenced |
model theory
philosophy of language theory of truth |
| gptkbp:namedAfter |
gptkb:Alfred_Tarski
|
| gptkbp:publishedIn |
gptkb:Fundamenta_Mathematicae
|
| gptkbp:relatedTo |
gptkb:Gödel's_incompleteness_theorems
|
| gptkbp:sentence |
Truth in arithmetic cannot be defined within arithmetic itself.
|
| gptkbp:yearProposed |
1936
|
| gptkbp:bfsParent |
gptkb:Alfred_Tarski
|
| gptkbp:bfsLayer |
4
|