Triple
T11977916
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | John G. Kemeny |
E285081
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Introduction to Finite Mathematics
"Introduction to Finite Mathematics" is a foundational textbook that presents key concepts of finite mathematics—such as logic, combinatorics, probability, and matrix theory—aimed primarily at students in the social and management sciences.
|
E960127
|
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: Introduction to Finite Mathematics | Statement: [John G. Kemeny, notableWork, Introduction to Finite Mathematics]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Introduction to Finite Mathematics Context triple: [John G. Kemeny, notableWork, Introduction to Finite Mathematics]
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
Principles of Mathematics
Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
- 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: Introduction to Finite Mathematics Triple: [John G. Kemeny, notableWork, Introduction to Finite Mathematics]
Generated description
"Introduction to Finite Mathematics" is a foundational textbook that presents key concepts of finite mathematics—such as logic, combinatorics, probability, and matrix theory—aimed primarily at students in the social and management sciences.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Introduction to Finite Mathematics Target entity description: "Introduction to Finite Mathematics" is a foundational textbook that presents key concepts of finite mathematics—such as logic, combinatorics, probability, and matrix theory—aimed primarily at students in the social and management sciences.
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
Principles of Mathematics
Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
- 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_69f48a9628cc819095d15fd90023e57d |
completed | May 1, 2026, 11:12 a.m. |
| NEDg | Description generation | batch_69f48fc3baac8190af87b55164f00b26 |
completed | May 1, 2026, 11:34 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69f495ab52788190a886f7014267f8e2 |
completed | May 1, 2026, 11:59 a.m. |
Created at: April 8, 2026, 9:46 p.m.