Triple

T20851740
Position Surface form Disambiguated ID Type / Status
Subject Feferman–Schütte ordinal E513379 entity
Predicate definedUsing P4791 FINISHED
Object Veblen hierarchy 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: Veblen hierarchy | Statement: [Feferman–Schütte ordinal, definedUsing, Veblen hierarchy]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Veblen hierarchy
Context triple: [Feferman–Schütte ordinal, definedUsing, Veblen hierarchy]
  • 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. Hicks–Kaldor compensation criterion
    The Hicks–Kaldor compensation criterion is an economic efficiency test stating that a policy change is desirable if those who gain could in principle compensate those who lose and still be better off, regardless of whether compensation actually occurs.
  • D. Modigliani–Brumberg model
    The Modigliani–Brumberg model is an economic life-cycle theory explaining how individuals plan consumption and saving over their lifetimes to smooth living standards despite changing income.
  • E. 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.
  • 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_69e0b4f4898081908209e58edb8f9c45 completed April 16, 2026, 10:07 a.m.
NER Named-entity recognition batch_69e6c3a3d8808190b8efce77ae36850e completed April 21, 2026, 12:24 a.m.
Created at: April 16, 2026, 12:43 p.m.