Triple
T16445564
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fraenkel–Mostowski permutation models |
E399414
|
entity |
| Predicate | relatedToTheory |
P12701
|
FINISHED |
| Object | set theory with urelements |
E85409
|
NE FINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: set theory with urelements | Statement: [Fraenkel–Mostowski permutation models, relatedToTheory, set theory with urelements]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: set theory with urelements Context triple: [Fraenkel–Mostowski permutation models, relatedToTheory, set theory with urelements]
-
A.
Zermelo set theory
Zermelo set theory is an early axiomatic system for set theory, introduced by Ernst Zermelo to rigorously formalize the concept of sets and avoid known paradoxes.
-
B.
set theory
chosen
Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
-
C.
Zermelo–Fraenkel set theory
Zermelo–Fraenkel set theory is the standard axiomatic framework for modern set theory, designed to avoid paradoxes and provide a rigorous foundation for much of mathematics.
-
D.
constructive set theory
Constructive set theory is a branch of mathematical logic that develops set theory using intuitionistic (constructive) logic and often weaker axioms, avoiding classical principles like unrestricted law of excluded middle.
-
E.
alternative set theory
Alternative set theory is a nonstandard framework for set theory that modifies or replaces classical axioms to address foundational issues and paradoxes in mathematics.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
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_69d87f2c6778819080fcfae53be8f12a |
completed | April 10, 2026, 4:40 a.m. |
| NER | Named-entity recognition | batch_69e32cdb5d908190bb6c5cb3c794cf4b |
completed | April 18, 2026, 7:03 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0045922d748190bb3200c96f244149 |
completed | May 10, 2026, 8:45 a.m. |
Created at: April 10, 2026, 5:10 a.m.