Triple
T1266573
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | von Neumann–Bernays–Gödel set theory |
E15613
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | conservative extension of Zermelo–Fraenkel set theory |
C4422
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: conservative extension of Zermelo–Fraenkel set theory Context triple: [von Neumann–Bernays–Gödel set theory, instanceOf, conservative extension of Zermelo–Fraenkel set theory]
-
A.
axiomatic set theory
chosen
Axiomatic set theory is a branch of mathematical logic that studies sets and their relationships by formulating precise axioms to avoid paradoxes and provide a rigorous foundation for mathematics.
-
B.
antimony in naive set theory
Antinomy in naive set theory is a self-contradictory situation arising from unrestricted set formation, where seemingly valid principles lead to paradoxical sets such as the set of all sets that do not contain themselves.
-
C.
cumulative hierarchy
The cumulative hierarchy is a conceptual model of the set-theoretic universe built in transfinite stages, where each level consists of all sets that can be formed from the sets at earlier levels.
-
D.
maximal analytic extension
A maximal analytic extension is the largest possible extension of a given spacetime (or manifold with metric) in which the metric and its geodesics can be continued analytically without introducing further removable boundaries or singularities.
-
E.
mathematical logic treatise
A mathematical logic treatise is a comprehensive, rigorously structured work that systematically develops the principles, formalisms, and theorems of logic as a branch of mathematics.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69a4935a94308190bb92555b79032824 |
completed | March 1, 2026, 7:28 p.m. |
Created at: March 1, 2026, 7:50 p.m.