Triple
T16130505
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Robert Vaught |
E391382
|
entity |
| Predicate | notableIdea |
P4
|
FINISHED |
| Object | Vaught transform in descriptive set theory and model theory |
E1195795
|
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: Vaught transform in descriptive set theory and model theory | Statement: [Robert Vaught, notableIdea, Vaught transform in descriptive set theory and model theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Vaught transform in descriptive set theory and model theory Context triple: [Robert Vaught, notableIdea, Vaught transform in descriptive set theory and model theory]
-
A.
Vaught transforms in model theory
chosen
Vaught transforms in model theory are a technical construction introduced by Robert Vaught that modify formulas to analyze their behavior across models, particularly in the study of completeness, definability, and related model-theoretic properties.
-
B.
Vaught conjecture
The Vaught conjecture is an open problem in mathematical logic and model theory that predicts a precise restriction on the possible numbers of countable models of a complete first-order theory.
-
C.
Cardinal Invariants on Boolean Algebras
"Cardinal Invariants on Boolean Algebras" is a research monograph by set theorist J. Donald Monk that systematically studies cardinal characteristics associated with Boolean algebras and their connections to set theory and logic.
-
D.
Fraenkel–Mostowski permutation models
Fraenkel–Mostowski permutation models are set-theoretic constructions using permutations of atoms to demonstrate the independence of certain choice principles from Zermelo–Fraenkel set theory.
-
E.
On definable sets of real numbers
"On definable sets of real numbers" is a seminal essay in mathematical logic and set theory that investigates which subsets of the real line can be precisely characterized or defined within formal systems.
- 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_69d87f1bb0988190b490d273dbf3fd03 |
completed | April 10, 2026, 4:39 a.m. |
| NER | Named-entity recognition | batch_69e2020829e88190b51ab32d22cf0259 |
completed | April 17, 2026, 9:48 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69fff7a0ed9c8190a10fa88ee94811cb |
completed | May 10, 2026, 3:12 a.m. |
Created at: April 10, 2026, 5:01 a.m.