Triple
T17872477
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Richard Laver |
E446867
|
entity |
| Predicate | hasNotableConcept |
P531
|
FINISHED |
| Object | Laver forcing |
—
|
NE NERFINISHED |
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: Laver forcing | Statement: [Richard Laver, hasNotableConcept, Laver forcing]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Laver forcing Context triple: [Richard Laver, hasNotableConcept, Laver forcing]
-
A.
forcing (set theory)
chosen
Forcing (set theory) is a powerful technique in mathematical logic, introduced by Paul Cohen, used to construct models of set theory and prove the independence of certain propositions from Zermelo–Fraenkel set theory with the Axiom of Choice (ZFC).
-
B.
Boolean-valued models of set theory
Boolean-valued models of set theory are generalized models in which each statement is assigned a truth value from a complete Boolean algebra, providing a powerful framework for analyzing independence results and constructing alternative set-theoretic universes.
-
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.
Baire space ω^ω
Baire space ω^ω is a fundamental topological space consisting of all infinite sequences of natural numbers with the product topology, serving as a central object in descriptive set theory and topology.
-
E.
Ky Fan’s lemma
Ky Fan’s lemma is a combinatorial topological result that generalizes Tucker’s lemma and provides conditions guaranteeing the existence of certain balanced or fully labeled simplices in labeled triangulations of spheres or simplices.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69d8b9f4c22c819093c2680434472894 |
completed | April 10, 2026, 8:51 a.m. |
| NER | Named-entity recognition | batch_69e49aa3cd248190a13a8209ba44fd3b |
completed | April 19, 2026, 9:04 a.m. |
Created at: April 10, 2026, 10:18 a.m.