Triple

T6389512
Position Surface form Disambiguated ID Type / Status
Subject Ian Stewart E143784 entity
Predicate notableWork P4 FINISHED
Object 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.
E589561 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: Concepts of Modern Mathematics | Statement: [Ian Stewart, notableWork, Concepts of Modern Mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Concepts of Modern Mathematics
Context triple: [Ian Stewart, notableWork, Concepts of Modern Mathematics]
  • A. Elementary Mathematics from an Advanced Standpoint
    "Elementary Mathematics from an Advanced Standpoint" is a classic three-volume work by Felix Klein that reexamines school-level mathematics through the lens of modern, rigorous mathematical theory and pedagogy.
  • B. Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
    Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics is a philosophical and foundational study in which Friedrich Waismann analyzes how mathematical concepts are formed, clarified, and used in modern mathematics.
  • C. The Foundations of Mathematics
    The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
  • D. A Course of Pure Mathematics
    A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
  • E. A Mathematician's Apology
    A Mathematician's Apology is G. H. Hardy’s classic reflective essay that defends the aesthetic value of pure mathematics and offers a candid, personal account of the mathematician’s life and creative process.
  • 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: Concepts of Modern Mathematics
Triple: [Ian Stewart, notableWork, Concepts of Modern Mathematics]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Concepts of Modern Mathematics
Target entity description: 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.
  • A. Elementary Mathematics from an Advanced Standpoint
    "Elementary Mathematics from an Advanced Standpoint" is a classic three-volume work by Felix Klein that reexamines school-level mathematics through the lens of modern, rigorous mathematical theory and pedagogy.
  • B. Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
    Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics is a philosophical and foundational study in which Friedrich Waismann analyzes how mathematical concepts are formed, clarified, and used in modern mathematics.
  • C. The Foundations of Mathematics
    The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
  • D. A Course of Pure Mathematics
    A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
  • E. A Mathematician's Apology
    A Mathematician's Apology is G. H. Hardy’s classic reflective essay that defends the aesthetic value of pure mathematics and offers a candid, personal account of the mathematician’s life and creative process.
  • 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_69c008db906c819096f3597d55d95432 completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c0686cc6d481909c62a29a84a4ce8e completed March 22, 2026, 10:08 p.m.
NED1 Entity disambiguation (via context triple) batch_69c638868d4481908611530d0bc8e286 completed March 27, 2026, 7:57 a.m.
NEDg Description generation batch_69c639320a608190bc1123fe00ac1f9a completed March 27, 2026, 8 a.m.
NED2 Entity disambiguation (via description) batch_69c639f9916c8190a1a9f0284198aebd completed March 27, 2026, 8:04 a.m.
Created at: March 22, 2026, 4:34 p.m.