Triple
T4358199
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grothendieck universe |
E98601
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | set-theoretic construct |
C3748
|
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: set-theoretic construct Context triple: [Grothendieck universe, instanceOf, set-theoretic construct]
-
A.
axiomatic set theory
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.
measure-theoretic construction
A measure-theoretic construction is a rigorous method of building mathematical objects—such as measures, integrals, or probability spaces—by specifying σ-algebras, set functions, and limiting processes that satisfy the axioms of measure theory.
-
C.
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.
-
D.
mathematical structure
chosen
A mathematical structure is a set (or collection of objects) equipped with specified operations, relations, or properties that satisfy given axioms, providing a framework for studying abstract patterns and relationships.
-
E.
binary operation on sets
A binary operation on sets is a rule that combines any ordered pair of elements from a set to produce a single element of the same set.
- 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_69b3454c772081908e20173e379e8ebe |
completed | March 12, 2026, 10:59 p.m. |
Created at: March 12, 2026, 11:16 p.m.