Triple

T231159
Position Surface form Disambiguated ID Type / Status
Subject John H. Conway E4412 entity
Predicate notableWork P4 FINISHED
Object On Numbers and Games
On Numbers and Games is a mathematical book by John H. Conway that introduces surreal numbers and explores combinatorial game theory in a rigorous yet playful style.
E30395 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: On Numbers and Games | Statement: [John H. Conway, notableWork, On Numbers and Games]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: On Numbers and Games
Context triple: [John H. Conway, notableWork, On Numbers and Games]
  • A. Surreal numbers
    Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
  • B. Winning Ways for your Mathematical Plays
    Winning Ways for your Mathematical Plays is a multi-volume book on combinatorial game theory that popularizes and systematically explores mathematical games and their underlying structures.
  • C. Conway’s Game of Sprouts
    Conway’s Game of Sprouts is a pencil-and-paper topological game in which players alternately connect dots with lines under simple rules, leading to rich combinatorial and mathematical analysis.
  • D. von Neumann paradox in set theory
    The von Neumann paradox in set theory is a foundational result showing that, under certain group-theoretic conditions, a set can be decomposed and reassembled into paradoxical subsets of equal “size,” illustrating the counterintuitive consequences of the axiom of choice.
  • E. De ratiociniis in ludo aleae
    De ratiociniis in ludo aleae is a pioneering 17th-century treatise on probability theory, particularly as applied to games of chance.
  • 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: On Numbers and Games
Triple: [John H. Conway, notableWork, On Numbers and Games]
Generated description
On Numbers and Games is a mathematical book by John H. Conway that introduces surreal numbers and explores combinatorial game theory in a rigorous yet playful style.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: On Numbers and Games
Target entity description: On Numbers and Games is a mathematical book by John H. Conway that introduces surreal numbers and explores combinatorial game theory in a rigorous yet playful style.
  • A. Surreal numbers
    Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
  • B. Winning Ways for your Mathematical Plays
    Winning Ways for your Mathematical Plays is a multi-volume book on combinatorial game theory that popularizes and systematically explores mathematical games and their underlying structures.
  • C. Conway’s Game of Sprouts
    Conway’s Game of Sprouts is a pencil-and-paper topological game in which players alternately connect dots with lines under simple rules, leading to rich combinatorial and mathematical analysis.
  • D. von Neumann paradox in set theory
    The von Neumann paradox in set theory is a foundational result showing that, under certain group-theoretic conditions, a set can be decomposed and reassembled into paradoxical subsets of equal “size,” illustrating the counterintuitive consequences of the axiom of choice.
  • E. De ratiociniis in ludo aleae
    De ratiociniis in ludo aleae is a pioneering 17th-century treatise on probability theory, particularly as applied to games of chance.
  • 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_69a257363ffc81909757bde7ab3404da completed Feb. 28, 2026, 2:47 a.m.
NER Named-entity recognition batch_69a25cadae1c8190be0e8dcf33351187 completed Feb. 28, 2026, 3:10 a.m.
NED1 Entity disambiguation (via context triple) batch_69a3673257f081908bcb84cbedef3c07 completed Feb. 28, 2026, 10:07 p.m.
NEDg Description generation batch_69a367b28e6c819082ad23cad05c5071 completed Feb. 28, 2026, 10:09 p.m.
NED2 Entity disambiguation (via description) batch_69a3683fafec8190b46278c7309fe577 completed Feb. 28, 2026, 10:12 p.m.
Created at: Feb. 28, 2026, 2:53 a.m.