Triple
T3836571
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Morse–Kelley set theory by class–set distinction |
E91147
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | second-order 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: second-order set theory Context triple: [Morse–Kelley set theory by class–set distinction, instanceOf, second-order 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.
non-classical theory of truth
A non-classical theory of truth is an account of truth that revises or rejects classical logical principles (such as bivalence or excluded middle) to handle phenomena like vagueness, paradoxes, or semantic indeterminacy.
-
D.
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.
-
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_69aed960b538819096561c8ed448dec9 |
completed | March 9, 2026, 2:29 p.m. |
Created at: March 9, 2026, 3:18 p.m.