Triple
T27133647
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Borel set |
E681623
|
entity |
| Predicate | relationToLebesgueMeasurable |
P121125
|
FINISHED |
| Object | every Borel set in ℝ is Lebesgue measurable |
—
|
LITERAL 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: every Borel set in ℝ is Lebesgue measurable | Statement: [Borel set, relationToLebesgueMeasurable, every Borel set in ℝ is Lebesgue measurable]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: relationToLebesgueMeasurable Context triple: [Borel set, relationToLebesgueMeasurable, every Borel set in ℝ is Lebesgue measurable]
-
A.
hasLebesgueMeasure
Indicates that a set is assigned a specific value by the Lebesgue measure, representing its "size" in the sense of measure theory.
-
B.
impliesUnderMeasurability
chosen
Indicates that one property or condition guarantees that another property or condition is measurable (in the measure-theoretic sense).
-
C.
isAbsolutelyContinuousWithRespectTo
Indicates that one measure changes in such a way that it assigns zero measure to every set that another reference measure also considers negligible.
-
D.
hasNonMeasurableSets
Indicates that within a given set or space, there exist subsets that are not measurable under the specified measure or sigma-algebra.
-
E.
measurability
Indicates that a quantity, property, or outcome can be defined, quantified, or assessed using a consistent measurement framework.
- F. None of above.
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_69eefacbcc2081909ebf00daa23f1981 |
completed | April 27, 2026, 5:57 a.m. |
| NER | Named-entity recognition | batch_69ff46afe7e481908f2862ed11c88db2 |
completed | May 9, 2026, 2:37 p.m. |
| PD | Predicate disambiguation | batch_69ff45e9151881909c444a655e852165 |
completed | May 9, 2026, 2:34 p.m. |
Created at: April 27, 2026, 9:05 a.m.