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.