Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
formal semantics
|
| gptkbp:extendsTo |
gptkb:first-order_logic
|
| gptkbp:field |
gptkb:logic
|
| gptkbp:hasApplication |
gptkb:logic
foundations of mathematics categoricity proofs formalization of arithmetic |
| gptkbp:hasProperty |
greater expressive power than first-order logic
categorical for some theories (e.g., real numbers) not compact (in standard semantics) not complete (in standard semantics) |
| gptkbp:hasSemantics |
gptkb:Henkin_semantics
standard semantics |
| gptkbp:hasSyntax |
predicate variables
second-order quantifiers |
| https://www.w3.org/2000/01/rdf-schema#label |
second-order logic
|
| gptkbp:limitation |
undecidable
not compact no complete proof system for standard semantics |
| gptkbp:quantifiesOver |
individuals
functions relations |
| gptkbp:relatedTo |
gptkb:logic
gptkb:set_theory higher-order logic |
| gptkbp:studiedBy |
logicians
|
| gptkbp:usedIn |
model theory
philosophy of logic axiomatization of mathematics |
| gptkbp:bfsParent |
gptkb:logic
|
| gptkbp:bfsLayer |
4
|