Triple
T10829033
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Veblen axioms for projective geometry |
E255568
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | incidence axiom system |
C17826
|
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: incidence axiom system Context triple: [Veblen axioms for projective geometry, instanceOf, incidence axiom system]
-
A.
axiom system
chosen
An axiom system is a structured set of foundational statements or principles from which theorems and further truths within a formal theory are logically derived.
-
B.
axiom schema
An axiom schema is a rule or template that generates an infinite set of axioms by uniformly substituting formulas for its schematic variables.
-
C.
geometer
A geometer is a mathematician who studies the properties, relationships, and structures of shapes, spaces, and figures in geometry.
-
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.
classical geometry problem
A classical geometry problem is a mathematical question involving shapes, sizes, relative positions, and properties of figures, typically solvable using traditional Euclidean methods and constructions.
- 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_69d6aa8081448190a9324184f2bd1c26 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:19 p.m.