Triple

T5114208
Position Surface form Disambiguated ID Type / Status
Subject Arrow’s impossibility theorem E115290 entity
Predicate relatedTo P37 FINISHED
Object Condorcet paradox E278103 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: Condorcet paradox | Statement: [Arrow’s impossibility theorem, relatedTo, Condorcet paradox]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Condorcet paradox
Context triple: [Arrow’s impossibility theorem, relatedTo, Condorcet paradox]
  • A. Condorcet paradox chosen
    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.
  • B. Arrow’s impossibility theorem
    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.
  • C. 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.
  • D. Arrow paradox
    The Arrow paradox is an ancient philosophical argument that challenges the coherence of motion by claiming that a flying arrow must be motionless at every instant of its flight.
  • E. Borda count
    The Borda count is a ranked voting method in which voters order candidates and points are assigned based on position in each ranking, with the candidate having the highest total score winning.
  • 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_69bd4441d1648190a54a533895041987 completed March 20, 2026, 12:57 p.m.
NER Named-entity recognition batch_69bd75cd13a08190b53e67ba65333557 completed March 20, 2026, 4:29 p.m.
NED1 Entity disambiguation (via context triple) batch_69bec3758bb4819082d5876c4dc9df8d completed March 21, 2026, 4:12 p.m.
Created at: March 20, 2026, 1:41 p.m.