Triple

T1902498
Position Surface form Disambiguated ID Type / Status
Subject Abraham Wald E37720 entity
Predicate developedConcept P73 FINISHED
Object complete class theorem in decision theory
The complete class theorem in decision theory is a foundational result that characterizes optimal decision rules by showing that any admissible rule belongs to a "complete class" beyond which no better procedures exist.
E212554 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: complete class theorem in decision theory | Statement: [Abraham Wald, developedConcept, complete class theorem in decision theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: complete class theorem in decision theory
Context triple: [Abraham Wald, developedConcept, complete class theorem in decision theory]
  • A. expected utility theory (with John von Neumann)
    Expected utility theory (with John von Neumann) is a foundational framework in economics and decision theory that models how rational agents make choices under uncertainty by maximizing the expected value of a utility function.
  • B. Logical Foundations of Probability
    Logical Foundations of Probability is a seminal philosophical work by Rudolf Carnap that develops a rigorous logical and formal account of probability and inductive reasoning.
  • C. 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.
  • D. 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.
  • E. Models of Bounded Rationality
    Models of Bounded Rationality is a collection of Herbert A. Simon’s influential works that develop the concept of bounded rationality, explaining how real-world decision-making is constrained by limited information, cognitive capacity, 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: complete class theorem in decision theory
Triple: [Abraham Wald, developedConcept, complete class theorem in decision theory]
Generated description
The complete class theorem in decision theory is a foundational result that characterizes optimal decision rules by showing that any admissible rule belongs to a "complete class" beyond which no better procedures exist.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: complete class theorem in decision theory
Target entity description: The complete class theorem in decision theory is a foundational result that characterizes optimal decision rules by showing that any admissible rule belongs to a "complete class" beyond which no better procedures exist.
  • A. expected utility theory (with John von Neumann)
    Expected utility theory (with John von Neumann) is a foundational framework in economics and decision theory that models how rational agents make choices under uncertainty by maximizing the expected value of a utility function.
  • B. Logical Foundations of Probability
    Logical Foundations of Probability is a seminal philosophical work by Rudolf Carnap that develops a rigorous logical and formal account of probability and inductive reasoning.
  • C. 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.
  • D. 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.
  • E. Models of Bounded Rationality
    Models of Bounded Rationality is a collection of Herbert A. Simon’s influential works that develop the concept of bounded rationality, explaining how real-world decision-making is constrained by limited information, cognitive capacity, 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_69a8861be7148190a680937ec451a304 completed March 4, 2026, 7:21 p.m.
NER Named-entity recognition batch_69abb18f10e48190b2f8c64c42cc55f3 completed March 7, 2026, 5:03 a.m.
NED1 Entity disambiguation (via context triple) batch_69adeaf768888190885ffa1632537445 completed March 8, 2026, 9:32 p.m.
NEDg Description generation batch_69adeb8b3d2c8190b13c03ce944f436a completed March 8, 2026, 9:35 p.m.
NED2 Entity disambiguation (via description) batch_69adec123cc481908e55dfbe4f4da095 completed March 8, 2026, 9:37 p.m.
Created at: March 4, 2026, 7:35 p.m.