Triple
T10829088
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Veblen hierarchy |
E255569
|
entity |
| Predicate | defines |
P264
|
FINISHED |
| Object | Veblen functions |
E255569
|
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: Veblen functions | Statement: [Veblen hierarchy, defines, Veblen functions]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Veblen functions Context triple: [Veblen hierarchy, defines, Veblen functions]
-
A.
Veblen hierarchy
chosen
The Veblen hierarchy is a transfinite sequence of ordinal functions used in mathematical logic and set theory to systematically generate and classify very large countable ordinals.
-
B.
Veblen
Veblen is a surname most notably associated with influential American mathematician Oswald Veblen and economist Thorstein Veblen.
-
C.
Hicksian demand
Hicksian demand is a concept in microeconomics that describes how a consumer’s demand for goods changes when prices vary while holding utility (satisfaction) constant, often used in welfare and consumer theory.
-
D.
Bergson–Samuelson social welfare function
The Bergson–Samuelson social welfare function is a formal tool in welfare economics that aggregates individual utilities into a single measure of social welfare to evaluate and compare economic states or policies.
-
E.
Gale–Nikaidō–Debreu theorem
The Gale–Nikaidō–Debreu theorem is a fundamental result in mathematical economics that provides conditions ensuring the existence (and sometimes uniqueness) of equilibrium in certain nonlinear and general equilibrium models.
- 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_69d6aa8081448190a9324184f2bd1c26 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d734d3eab88190b30a3025b6b2b0bc |
completed | April 9, 2026, 5:10 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69de8592d8f08190ac577395ad7cc557 |
completed | April 14, 2026, 6:21 p.m. |
Created at: April 8, 2026, 9:19 p.m.