Triple
T3913035
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | axiom of choice |
E87367
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | set-theoretic axiom |
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: set-theoretic axiom Context triple: [axiom of choice, instanceOf, set-theoretic axiom]
-
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.
set of axioms in information theory
A set of axioms in information theory is a foundational collection of formal assumptions that precisely define and constrain measures of information, uncertainty, and related concepts so that theorems and results can be derived consistently.
-
D.
set of axioms in information theory
A set of axioms in information theory is a foundational collection of formal principles that precisely define and constrain measures of information, uncertainty, and related concepts so that consistent theorems and results can be derived.
-
E.
mathematical theorem
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
- 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_69aed9424514819086e9c58adde6652d |
completed | March 9, 2026, 2:29 p.m. |
Created at: March 9, 2026, 3:22 p.m.