New Foundations for Mathematical Logic
E382730
New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
All labels observed (5)
| Label | Occurrences |
|---|---|
| New Foundations | 1 |
| New Foundations for Mathematical Logic canonical | 1 |
| New Foundations set theory | 1 |
| Quine's New Foundations | 1 |
| essay "New Foundations for Mathematical Logic" | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3716081 — 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: New Foundations for Mathematical Logic Context triple: [From a Logical Point of View, notableEssay, New Foundations for Mathematical Logic]
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A.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
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B.
Lectures on the Logic of Arithmetic
Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
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C.
“Logic, Semantics, Metamathematics”
“Logic, Semantics, Metamathematics” is a landmark collection of Alfred Tarski’s foundational papers that helped shape modern logic, model theory, and the formal study of truth.
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D.
Recherches sur la théorie de la démonstration
Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
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E.
Foundations of Set Theory (with Andrey Kolmogorov)
"Foundations of Set Theory" is a classic 20th-century mathematical text co-authored by Pavel Alexandrov and Andrey Kolmogorov that systematically develops the basic concepts and axioms of set theory.
- 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: New Foundations for Mathematical Logic Target entity description: New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
-
A.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
-
B.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
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C.
Lectures on the Logic of Arithmetic
Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
-
D.
On a Problem of Formal Logic
"On a Problem of Formal Logic" is a seminal philosophical and mathematical paper by F. P. Ramsey that contributed to the foundations of logic and helped inspire what is now known as Ramsey theory.
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E.
“Logic, Semantics, Metamathematics”
“Logic, Semantics, Metamathematics” is a landmark collection of Alfred Tarski’s foundational papers that helped shape modern logic, model theory, and the formal study of truth.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
essay
ⓘ
philosophical work ⓘ work on mathematical logic ⓘ |
| addresses |
Russell’s paradox
ⓘ
set-theoretic antinomies ⓘ |
| aimsTo |
preserve a broad intuitive universe of sets
ⓘ
resolve set-theoretic paradoxes ⓘ |
| associatedWith | NF set theory ⓘ |
| author | Willard Van Orman Quine ⓘ |
| characterizes | sets via stratified formulas ⓘ |
| contrastsWith |
cumulative hierarchy of sets
ⓘ
type theory ⓘ |
| contributesTo | Quine’s overall logical system ⓘ |
| discusses |
axioms for set existence
ⓘ
logical foundations of mathematics ⓘ |
| field |
mathematical logic
ⓘ
philosophy of mathematics ⓘ set theory ⓘ |
| hasAbbreviation | NF ⓘ |
| hasConcept |
extensionality axiom in NF
ⓘ
stratification of variables ⓘ universal set in NF ⓘ |
| hasReception | subject of ongoing consistency investigations ⓘ |
| historicalPeriod | 20th-century analytic philosophy ⓘ |
| influenced |
research on consistency of NF set theory
ⓘ
subsequent work on alternative set theories ⓘ |
| influencedBy |
Russellian type theory
ⓘ
linked to:
Russellian logic
Zermelo set theory ⓘ |
| introduces | stratified comprehension schema ⓘ |
| language | English ⓘ |
| mainTopic |
foundations of set theory
ⓘ
logical paradoxes ⓘ type-free set theory ⓘ |
| permits |
a universal set
ⓘ
complement of any set ⓘ |
| philosophicalStance | logicism ⓘ |
| proposes |
New Foundations set theory
ⓘ
linked to:
New Foundations for Mathematical Logic
alternative set theory ⓘ |
| proposesAlternativeTo | Zermelo–Fraenkel set theory ⓘ |
| relatedWorkByAuthor |
Mathematical Logic
ⓘ
On What There Is ⓘ Set Theory and Its Logic ⓘ |
| restricts | comprehension to stratified formulas ⓘ |
| shortName |
New Foundations
ⓘ
linked to:
New Foundations for Mathematical Logic
|
How these facts were elicited
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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: New Foundations for Mathematical Logic Description of subject: New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: New Foundations for Mathematical Logic
linked to: New Foundations for Mathematical Logic
linked to: New Foundations for Mathematical Logic
linked to: New Foundations for Mathematical Logic