Triple

T11700236
Position Surface form Disambiguated ID Type / Status
Subject Condorcet paradox E278103 entity
Predicate relatedTo P37 FINISHED
Object Arrow's impossibility theorem E115290 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: Arrow's impossibility theorem | Statement: [Condorcet paradox, relatedTo, Arrow's impossibility theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Arrow's impossibility theorem
Context triple: [Condorcet paradox, relatedTo, Arrow's impossibility theorem]
  • A. Arrow’s impossibility theorem chosen
    Arrow’s impossibility theorem is a foundational result in social choice theory showing that no voting system can convert individual preferences into a collective ranking while simultaneously satisfying a set of seemingly reasonable fairness criteria.
  • B. Gibbard–Satterthwaite theorem
    The Gibbard–Satterthwaite theorem is a fundamental result in social choice theory showing that every reasonable voting system with at least three options is susceptible to strategic manipulation by voters.
  • C. Condorcet paradox
    The Condorcet paradox is a voting theory phenomenon where collective preferences can become cyclic and inconsistent, even when individual voters’ preferences are perfectly rational and transitive.
  • D. Social Choice and Individual Values
    Social Choice and Individual Values is a foundational 1951 book by economist Kenneth Arrow that established modern social choice theory and introduced Arrow’s impossibility theorem.
  • E. Collective Choice and Social Welfare
    Collective Choice and Social Welfare is a foundational work in social choice theory that rigorously examines how individual preferences can be aggregated into collective decisions while addressing issues of welfare, justice, and fairness.
  • 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_69d6aafe02d881909900d54ad7d4af84 completed April 8, 2026, 7:22 p.m.
NER Named-entity recognition batch_69d8a49a025881909377c81d3debf465 completed April 10, 2026, 7:19 a.m.
NED1 Entity disambiguation (via context triple) batch_69ef833084988190b5004c93f68dc628 completed April 27, 2026, 3:39 p.m.
Created at: April 8, 2026, 9:40 p.m.