Triple

T972459
Position Surface form Disambiguated ID Type / Status
Subject Collective Choice and Social Welfare E20973 entity
Predicate mainTopic P31 FINISHED
Object 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.
E115290 NE FINISHED

How this triple was built (4 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: [Collective Choice and Social Welfare, mainTopic, Arrow’s impossibility theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Arrow’s impossibility theorem
Context triple: [Collective Choice and Social Welfare, mainTopic, Arrow’s impossibility theorem]
  • A. 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.
  • B. Inequality Reexamined
    Inequality Reexamined is a philosophical and economic work by Amartya Sen that critically analyzes traditional views of inequality and justice through his capabilities approach.
  • C. On Equilibrium
    On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
  • D. Essay on the Ballot
    Essay on the Ballot is a political treatise by philosopher and economist James Mill that argues for the use of secret voting as a means to protect voters’ independence and promote representative government.
  • E. Nash bargaining solution
    The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Arrow’s impossibility theorem
Triple: [Collective Choice and Social Welfare, mainTopic, Arrow’s impossibility theorem]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Arrow’s impossibility theorem
Target entity description: 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.
  • A. 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.
  • B. Inequality Reexamined
    Inequality Reexamined is a philosophical and economic work by Amartya Sen that critically analyzes traditional views of inequality and justice through his capabilities approach.
  • C. On Equilibrium
    On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
  • D. Essay on the Ballot
    Essay on the Ballot is a political treatise by philosopher and economist James Mill that argues for the use of secret voting as a means to protect voters’ independence and promote representative government.
  • E. Nash bargaining solution
    The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
  • F. None of above. chosen

Provenance (5 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_69a493b33d2c81909c52c369d3ca8436 completed March 1, 2026, 7:29 p.m.
NER Named-entity recognition batch_69a4b44c38f08190997e141d424e9e04 completed March 1, 2026, 9:49 p.m.
NED1 Entity disambiguation (via context triple) batch_69ac170a00f481909da0394531ac24fe completed March 7, 2026, 12:16 p.m.
NEDg Description generation batch_69ac18e9be2081909770ab2ead56d0db completed March 7, 2026, 12:24 p.m.
NED2 Entity disambiguation (via description) batch_69ac195b7cd08190b2c3f07d7ae849ed completed March 7, 2026, 12:26 p.m.
Created at: March 1, 2026, 7:40 p.m.