Triple

T2332439
Position Surface form Disambiguated ID Type / Status
Subject Richard Courant E44231 entity
Predicate notableWork P4 FINISHED
Object What is Mathematics?
"What is Mathematics?" is a classic introductory book on mathematics by Richard Courant (with Herbert Robbins) that explains fundamental mathematical ideas and methods to a broad audience with clarity and rigor.
 E256918 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: What is Mathematics? | Statement: [Richard Courant, notableWork, What is Mathematics?]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: What is Mathematics?
Context triple: [Richard Courant, notableWork, What is Mathematics?]
  • A. How is pure mathematics possible?
    "How is pure mathematics possible?" is a central guiding question in Immanuel Kant’s *Prolegomena to Any Future Metaphysics*, where he investigates the conditions that make synthetic a priori knowledge in mathematics possible.
  • B. Mathematics
    "Mathematics" is a politically charged hip-hop track by Mos Def that critiques social injustice, systemic inequality, and the statistical realities of urban life.
  • C. 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.
  • D. Dialogues on Mathematics
    Dialogues on Mathematics is a popular science book by Hungarian mathematician Alfréd Rényi that presents key mathematical ideas through fictional conversations.
  • E. 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.
  • 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: What is Mathematics?
Triple: [Richard Courant, notableWork, What is Mathematics?]
Generated description
"What is Mathematics?" is a classic introductory book on mathematics by Richard Courant (with Herbert Robbins) that explains fundamental mathematical ideas and methods to a broad audience with clarity and rigor.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: What is Mathematics?
Target entity description: "What is Mathematics?" is a classic introductory book on mathematics by Richard Courant (with Herbert Robbins) that explains fundamental mathematical ideas and methods to a broad audience with clarity and rigor.
  • A. How is pure mathematics possible?
    "How is pure mathematics possible?" is a central guiding question in Immanuel Kant’s *Prolegomena to Any Future Metaphysics*, where he investigates the conditions that make synthetic a priori knowledge in mathematics possible.
  • B. Mathematics
    "Mathematics" is a politically charged hip-hop track by Mos Def that critiques social injustice, systemic inequality, and the statistical realities of urban life.
  • C. 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.
  • D. Dialogues on Mathematics
    Dialogues on Mathematics is a popular science book by Hungarian mathematician Alfréd Rényi that presents key mathematical ideas through fictional conversations.
  • E. 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.
  • 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_69a889132b488190bbb43ad4780ddd92 completed March 4, 2026, 7:33 p.m.
NER Named-entity recognition batch_69abc66bd0f08190aad5f640cfa1c372 completed March 7, 2026, 6:32 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae89773c88819087a294d7c0f90f73 completed March 9, 2026, 8:48 a.m.
NEDg Description generation batch_69ae8ae2ab7481909d265e56369f68e2 completed March 9, 2026, 8:54 a.m.
NED2 Entity disambiguation (via description) batch_69ae8b6c553481908b2b7b1f880b814d completed March 9, 2026, 8:57 a.m.
Created at: March 4, 2026, 7:51 p.m.