Triple
T20851752
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Feferman–Schütte ordinal |
E513379
|
entity |
| Predicate | hasCofinality |
P142102
|
FINISHED |
| Object | ω |
—
|
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: ω | Statement: [Feferman–Schütte ordinal, hasCofinality, ω]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCofinality Context triple: [Feferman–Schütte ordinal, hasCofinality, ω]
-
A.
hasProofTheoreticOrdinal
Indicates that a formal system or theory is associated with a specific proof-theoretic ordinal measuring the strength of its provable transfinite induction or consistency.
-
B.
isSecondCountable
Indicates that a topological space has a countable base for its topology, meaning all open sets can be generated from a countable collection of basic open sets.
-
C.
isClosedAndNowhereDense
Indicates that a set is both closed (contains all its limit points) and nowhere dense (its closure has empty interior, so it is "small" in the topological sense).
-
D.
isBoundedBelow
Indicates that every value in a set or function is greater than or equal to some fixed lower bound.
-
E.
cofiniteVolumeIn
Indicates that one space is embedded in another such that the complement has finite measure or volume.
- F. None of above. chosen
Provenance (4 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_69e0b4f4898081908209e58edb8f9c45 |
completed | April 16, 2026, 10:07 a.m. |
| NER | Named-entity recognition | batch_69e6c3a3d8808190b8efce77ae36850e |
completed | April 21, 2026, 12:24 a.m. |
| PD | Predicate disambiguation | batch_69e5c9a593f481908beb457c29f1ce73 |
completed | April 20, 2026, 6:37 a.m. |
| PDg | Predicate description generation | batch_69e5d53c4d6881909b4d0a716fa5ed4a |
completed | April 20, 2026, 7:26 a.m. |
Created at: April 16, 2026, 12:43 p.m.