Triple
T5114209
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Arrow’s impossibility theorem |
E115290
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Sen’s liberal paradox
Sen’s liberal paradox is a result in social choice theory showing that even minimal individual rights can be incompatible with always achieving Pareto-efficient collective decisions.
|
E494085
|
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: Sen’s liberal paradox | Statement: [Arrow’s impossibility theorem, relatedTo, Sen’s liberal paradox]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Sen’s liberal paradox Context triple: [Arrow’s impossibility theorem, relatedTo, Sen’s liberal paradox]
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
Paradoxes of plurality
Paradoxes of plurality are a set of arguments by Zeno of Elea that challenge the coherence of the concepts of plurality and divisibility in space and time.
- 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: Sen’s liberal paradox Triple: [Arrow’s impossibility theorem, relatedTo, Sen’s liberal paradox]
Generated description
Sen’s liberal paradox is a result in social choice theory showing that even minimal individual rights can be incompatible with always achieving Pareto-efficient collective decisions.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Sen’s liberal paradox Target entity description: Sen’s liberal paradox is a result in social choice theory showing that even minimal individual rights can be incompatible with always achieving Pareto-efficient collective decisions.
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
Paradoxes of plurality
Paradoxes of plurality are a set of arguments by Zeno of Elea that challenge the coherence of the concepts of plurality and divisibility in space and time.
- 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_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_69bebaadfaac8190aa0407196e5c4c20 |
completed | March 21, 2026, 3:35 p.m. |
| NEDg | Description generation | batch_69bebb1a4370819085bcbe73a0b8c68e |
completed | March 21, 2026, 3:36 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69bebcf63784819097be14bb7dcbf4d9 |
completed | March 21, 2026, 3:44 p.m. |
Created at: March 20, 2026, 1:41 p.m.