constructive set theory
E1187531
UNEXPLORED
Constructive set theory is a branch of mathematical logic that develops set theory using intuitionistic (constructive) logic and often weaker axioms, avoiding classical principles like unrestricted law of excluded middle.
All labels observed (2)
| Label | Occurrences |
|---|---|
| constructive Zermelo–Fraenkel set theory | 1 |
| constructive set theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T15990182 — 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: constructive set theory Context triple: [Kripke–Platek set theory, usedIn, constructive set theory]
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A.
constructible universe
The constructible universe is a class model of set theory introduced by Kurt Gödel that systematically builds sets in hierarchical stages and shows the relative consistency of the axiom of choice and the generalized continuum hypothesis with ZF.
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B.
alternative set theory
Alternative set theory is a nonstandard framework for set theory that modifies or replaces classical axioms to address foundational issues and paradoxes in mathematics.
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C.
Algebraic Set Theory
Algebraic Set Theory is a branch of mathematical logic that develops set theory within a categorical and algebraic framework, often using topos theory and related structures.
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D.
von Neumann–Bernays–Gödel set theory
Von Neumann–Bernays–Gödel set theory is an axiomatic set theory extending Zermelo–Fraenkel set theory by formally distinguishing between sets and classes, widely used in foundational studies of mathematics.
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E.
Zermelo–Fraenkel set theory
Zermelo–Fraenkel set theory is the standard axiomatic framework for modern set theory, designed to avoid paradoxes and provide a rigorous foundation for much of mathematics.
- 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: constructive set theory Target entity description: Constructive set theory is a branch of mathematical logic that develops set theory using intuitionistic (constructive) logic and often weaker axioms, avoiding classical principles like unrestricted law of excluded middle.
-
A.
constructible universe
The constructible universe is a class model of set theory introduced by Kurt Gödel that systematically builds sets in hierarchical stages and shows the relative consistency of the axiom of choice and the generalized continuum hypothesis with ZF.
-
B.
alternative set theory
Alternative set theory is a nonstandard framework for set theory that modifies or replaces classical axioms to address foundational issues and paradoxes in mathematics.
-
C.
Algebraic Set Theory
Algebraic Set Theory is a branch of mathematical logic that develops set theory within a categorical and algebraic framework, often using topos theory and related structures.
-
D.
von Neumann–Bernays–Gödel set theory
Von Neumann–Bernays–Gödel set theory is an axiomatic set theory extending Zermelo–Fraenkel set theory by formally distinguishing between sets and classes, widely used in foundational studies of mathematics.
-
E.
Zermelo–Fraenkel set theory
Zermelo–Fraenkel set theory is the standard axiomatic framework for modern set theory, designed to avoid paradoxes and provide a rigorous foundation for much of mathematics.
- F. None of above. chosen
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
constructive Zermelo–Fraenkel set theory