Triple

T11977914
Position Surface form Disambiguated ID Type / Status
Subject John G. Kemeny E285081 entity
Predicate notableWork P4 FINISHED
Object A First Course in Finite Mathematics
A First Course in Finite Mathematics is an influential introductory textbook that presents fundamental concepts of finite mathematics, including topics like probability, matrices, and linear programming, for undergraduate students.
E957995 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: A First Course in Finite Mathematics | Statement: [John G. Kemeny, notableWork, A First Course in Finite Mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: A First Course in Finite Mathematics
Context triple: [John G. Kemeny, notableWork, A First Course in Finite Mathematics]
  • A. Oxford Users' Guide to Mathematics
    Oxford Users' Guide to Mathematics is a comprehensive reference book that provides concise explanations, formulas, and methods across a wide range of undergraduate-level mathematical topics.
  • B. Grundlagen der Mathematik
    Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
  • C. A Shorter Course in Algebra
    A Shorter Course in Algebra is a concise algebra textbook authored by Confederate general and educator D. H. Hill for use in 19th-century American schools.
  • D. Concepts of Modern Mathematics
    Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
  • E. A Beginner’s Guide to Mathematical Logic
    A Beginner’s Guide to Mathematical Logic is an introductory textbook that explains the fundamental concepts and techniques of mathematical logic in a clear and accessible style.
  • 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: A First Course in Finite Mathematics
Triple: [John G. Kemeny, notableWork, A First Course in Finite Mathematics]
Generated description
A First Course in Finite Mathematics is an influential introductory textbook that presents fundamental concepts of finite mathematics, including topics like probability, matrices, and linear programming, for undergraduate students.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: A First Course in Finite Mathematics
Target entity description: A First Course in Finite Mathematics is an influential introductory textbook that presents fundamental concepts of finite mathematics, including topics like probability, matrices, and linear programming, for undergraduate students.
  • A. Oxford Users' Guide to Mathematics
    Oxford Users' Guide to Mathematics is a comprehensive reference book that provides concise explanations, formulas, and methods across a wide range of undergraduate-level mathematical topics.
  • B. Grundlagen der Mathematik
    Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
  • C. A Shorter Course in Algebra
    A Shorter Course in Algebra is a concise algebra textbook authored by Confederate general and educator D. H. Hill for use in 19th-century American schools.
  • D. Concepts of Modern Mathematics
    Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
  • E. A Beginner’s Guide to Mathematical Logic
    A Beginner’s Guide to Mathematical Logic is an introductory textbook that explains the fundamental concepts and techniques of mathematical logic in a clear and accessible style.
  • 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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d90393cfb08190b5b45d3e5e32fad3 completed April 10, 2026, 2:05 p.m.
NED1 Entity disambiguation (via context triple) batch_69f471f6afc48190856a0f7c486b28aa completed May 1, 2026, 9:27 a.m.
NEDg Description generation batch_69f47b7ac4048190ae09f18f1a90338f completed May 1, 2026, 10:07 a.m.
NED2 Entity disambiguation (via description) batch_69f47db91f38819092b7b5c5e2bb489b completed May 1, 2026, 10:17 a.m.
Created at: April 8, 2026, 9:46 p.m.