predicate logic
E883489
Predicate logic is a formal system in mathematical logic that extends propositional logic by using quantifiers and predicates to express statements about objects and their properties or relations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| predicate logic canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10733087 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: predicate logic Context triple: [Leibnizian logic, relatedTo, predicate logic]
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A.
Logic
Logic is an American rapper, singer, songwriter, and record producer known for his intricate lyricism, concept albums, and work addressing mental health and social issues.
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B.
Logik
Logik is a foundational work on formal logic by German philosopher and mathematician Gottlob Frege, contributing significantly to the development of modern logic and the philosophy of language.
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C.
Symbolic Logic
Symbolic Logic is a foundational work in mathematical logic by John Venn that systematically develops and popularizes the use of diagrams and algebraic methods to represent logical relations.
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D.
Formal Logic
Formal Logic is a foundational 19th-century work in mathematical logic that systematically develops the principles of symbolic reasoning and inference.
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E.
Herbrand disjunction
Herbrand disjunction is a logical formula formed as a finite disjunction of ground instances of a first-order formula, central to Herbrand’s theorem in proof theory and automated reasoning.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: predicate logic Target entity description: Predicate logic is a formal system in mathematical logic that extends propositional logic by using quantifiers and predicates to express statements about objects and their properties or relations.
-
A.
Logic
Logic is an American rapper, singer, songwriter, and record producer known for his intricate lyricism, concept albums, and work addressing mental health and social issues.
-
B.
Logik
Logik is a foundational work on formal logic by German philosopher and mathematician Gottlob Frege, contributing significantly to the development of modern logic and the philosophy of language.
-
C.
Symbolic Logic
Symbolic Logic is a foundational work in mathematical logic by John Venn that systematically develops and popularizes the use of diagrams and algebraic methods to represent logical relations.
-
D.
Formal Logic
Formal Logic is a foundational 19th-century work in mathematical logic that systematically develops the principles of symbolic reasoning and inference.
-
E.
Herbrand disjunction
Herbrand disjunction is a logical formula formed as a finite disjunction of ground instances of a first-order formula, central to Herbrand’s theorem in proof theory and automated reasoning.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
branch of mathematical logic
ⓘ
formal system ⓘ logical system ⓘ |
| allows |
expression of existential statements
ⓘ
expression of general statements ⓘ expression of universal statements ⓘ |
| developedBy |
Alfred North Whitehead
ⓘ
Bertrand Russell ⓘ Charles Sanders Peirce ⓘ Giuseppe Peano ⓘ Gottlob Frege ⓘ |
| extends | propositional logic ⓘ |
| fieldOfStudy | mathematical logic ⓘ |
| generalizes | truth-functional logic ⓘ |
| hasComponent |
model theory
ⓘ
proof theory ⓘ semantics ⓘ syntax ⓘ |
| hasGoal |
formalization of mathematical reasoning
ⓘ
precise representation of statements about objects ⓘ |
| hasProperty |
Löwenheim–Skolem property for first-order logic
ⓘ
compactness for first-order logic ⓘ complete proof system for first-order logic ⓘ recursively enumerable set of theorems for first-order logic ⓘ |
| includes |
first-order logic
ⓘ
higher-order logic ⓘ many-sorted logic ⓘ monadic predicate logic ⓘ polyadic predicate logic ⓘ |
| introducedInCentury | 19th century ⓘ |
| isFoundationFor |
automated theorem proving
ⓘ
axiomatic set theory ⓘ formal arithmetic ⓘ model theory ⓘ |
| isUsedIn |
artificial intelligence
ⓘ
computer science ⓘ formal verification ⓘ linguistics ⓘ philosophy ⓘ |
| studies |
properties of objects
ⓘ
relations between objects ⓘ |
| uses |
predicates
ⓘ
quantifiers ⓘ |
| usesSymbol |
equality symbol
ⓘ
function symbols ⓘ logical connectives ⓘ predicate symbols ⓘ variables ⓘ ∀ ⓘ ∃ ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: predicate logic Description of subject: Predicate logic is a formal system in mathematical logic that extends propositional logic by using quantifiers and predicates to express statements about objects and their properties or relations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.