Triple
T17341087
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Banach limit |
E421066
|
entity |
| Predicate | notCountablyAdditive |
P102501
|
FINISHED |
| Object | not given by a countably additive measure on ℕ |
—
|
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: not given by a countably additive measure on ℕ | Statement: [Banach limit, notCountablyAdditive, not given by a countably additive measure on ℕ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: notCountablyAdditive Context triple: [Banach limit, notCountablyAdditive, not given by a countably additive measure on ℕ]
-
A.
isCountablyAdditive
chosen
Indicates that a measure or function preserves additivity over countable collections, meaning the value on a countable union of disjoint sets equals the sum of its values on each set.
-
B.
hasNonMeasurableSets
Indicates that within a given set or space, there exist subsets that are not measurable under the specified measure or sigma-algebra.
-
C.
notClosedUnder
Indicates that applying the operation or relation to elements of a set can produce results that do not belong to that set, so the set is not closed under that operation or relation.
-
D.
isUncountable
Indicates that the related entity denotes a mass or abstract concept that cannot be individually counted as discrete units.
-
E.
isUncountablePerfectNowhereDenseSubsetOfR
Indicates that one set is a subset of the real numbers that is uncountable, perfect (closed with no isolated points), and nowhere dense (its closure has empty interior).
- 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_69d889d3adc881909319f1edb8d2a956 |
completed | April 10, 2026, 5:25 a.m. |
| NER | Named-entity recognition | batch_69e43a15f6488190ad7d489e7391ab12 |
completed | April 19, 2026, 2:12 a.m. |
| PD | Predicate disambiguation | batch_69e3b021a5bc81909ae55406f9d0b37f |
completed | April 18, 2026, 4:24 p.m. |
Created at: April 10, 2026, 5:44 a.m.