Triple
T16474879
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Banach–Tarski paradox |
E400162
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in set-theoretic geometry |
C10469
|
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: result in set-theoretic geometry Context triple: [Banach–Tarski paradox, instanceOf, result in set-theoretic geometry]
-
A.
result in geometry
chosen
A result in geometry is a proven statement or theorem that describes a specific property, relationship, or behavior of geometric figures and spaces.
-
B.
result in lattice theory
A result in lattice theory is a proven theorem or proposition that describes structural, order-theoretic, or algebraic properties of lattices and their related constructs.
-
C.
set-theoretic concept
A set-theoretic concept is an abstract mathematical idea defined in terms of sets and their elements, relationships, and operations, such as membership, union, intersection, and power sets.
-
D.
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.
-
E.
result in model theory
In model theory, a result is a formally proven statement—such as a theorem, lemma, or corollary—about structures, theories, or definable sets that follows from the axioms and logical rules of the framework.
- 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_69d883813098819084f5409539723b59 |
completed | April 10, 2026, 4:58 a.m. |
Created at: April 10, 2026, 5:13 a.m.