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 |
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 logic
ⓘ
surface form:
Russellian type theory
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 for Mathematical Logic
self-linksurface differs
ⓘ
surface form:
New Foundations set theory
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 for Mathematical Logic
self-linksurface differs
ⓘ
surface form:
New Foundations
|
How these facts were elicited
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Instruction
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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.
this entity surface form:
essay "New Foundations for Mathematical Logic"
this entity surface form:
Quine's New Foundations
New Foundations for Mathematical Logic
→
shortName
→
New Foundations for Mathematical Logic
self-linksurface differs
ⓘ
this entity surface form:
New Foundations
New Foundations for Mathematical Logic
→
proposes
→
New Foundations for Mathematical Logic
self-linksurface differs
ⓘ
this entity surface form:
New Foundations set theory