Triple

T6455879
Position Surface form Disambiguated ID Type / Status
Subject Nicolaus Bernoulli E141991 entity
Predicate notableWork P4 FINISHED
Object St. Petersburg paradox
The St. Petersburg paradox is a famous problem in probability theory and economics that highlights how a lottery with an infinite expected payoff can still attract only a finite price from rational gamblers, challenging traditional notions of expected value and decision-making under risk.
E593494 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: St. Petersburg paradox | Statement: [Nicolaus Bernoulli, notableWork, St. Petersburg paradox]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: St. Petersburg paradox
Context triple: [Nicolaus Bernoulli, notableWork, St. Petersburg paradox]
  • A. Ellsberg paradox
    The Ellsberg paradox is a famous problem in decision theory and economics that demonstrates how people’s choices often violate expected utility theory due to ambiguity aversion.
  • B. Allais paradox
    The Allais paradox is a famous decision-making puzzle in behavioral economics that shows how people's choices under risk often violate the expected utility theory, revealing systematic inconsistencies in rational choice models.
  • C. 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.
  • D. Pascal's wager
    Pascal's wager is a philosophical argument by Blaise Pascal that posits it is rational to live as if God exists, because the potential gains of belief outweigh the potential losses.
  • E. Ellsberg
    Ellsberg is a surname most famously associated with Daniel Ellsberg, the American military analyst who leaked the Pentagon Papers during the Vietnam War.
  • 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: St. Petersburg paradox
Triple: [Nicolaus Bernoulli, notableWork, St. Petersburg paradox]
Generated description
The St. Petersburg paradox is a famous problem in probability theory and economics that highlights how a lottery with an infinite expected payoff can still attract only a finite price from rational gamblers, challenging traditional notions of expected value and decision-making under risk.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: St. Petersburg paradox
Target entity description: The St. Petersburg paradox is a famous problem in probability theory and economics that highlights how a lottery with an infinite expected payoff can still attract only a finite price from rational gamblers, challenging traditional notions of expected value and decision-making under risk.
  • A. Ellsberg paradox
    The Ellsberg paradox is a famous problem in decision theory and economics that demonstrates how people’s choices often violate expected utility theory due to ambiguity aversion.
  • B. Allais paradox
    The Allais paradox is a famous decision-making puzzle in behavioral economics that shows how people's choices under risk often violate the expected utility theory, revealing systematic inconsistencies in rational choice models.
  • C. 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.
  • D. Pascal's wager
    Pascal's wager is a philosophical argument by Blaise Pascal that posits it is rational to live as if God exists, because the potential gains of belief outweigh the potential losses.
  • E. Ellsberg
    Ellsberg is a surname most famously associated with Daniel Ellsberg, the American military analyst who leaked the Pentagon Papers during the Vietnam War.
  • 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_69c008d2f91c8190a8178767a35e08fc completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c069d4d588819090e8a56c46c0bfe9 completed March 22, 2026, 10:14 p.m.
NED1 Entity disambiguation (via context triple) batch_69c64bdc4e808190a7c24b963ab0aa30 completed March 27, 2026, 9:20 a.m.
NEDg Description generation batch_69c64ce18f6c8190910dcc2fc553328e completed March 27, 2026, 9:24 a.m.
NED2 Entity disambiguation (via description) batch_69c64db784f08190b786c4de051ee527 completed March 27, 2026, 9:28 a.m.
Created at: March 22, 2026, 4:48 p.m.