Triple

T7553220
Position Surface form Disambiguated ID Type / Status
Subject Bourbaki school of mathematics E178588 entity
Predicate notableWork P4 FINISHED
Object Éléments de mathématique
Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
E671749 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: Éléments de mathématique | Statement: [Bourbaki school of mathematics, notableWork, Éléments de mathématique]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Éléments de mathématique
Context triple: [Bourbaki school of mathematics, notableWork, Éléments de mathématique]
  • A. Cours d’Analyse
    Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
  • B. Éléments de géométrie algébrique
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • C. Les Principes du calcul infinitésimal
    Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
  • D. Théorie analytique des probabilités
    Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
  • E. Séminaire de Géométrie Algébrique du Bois Marie
    Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
  • 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: Éléments de mathématique
Triple: [Bourbaki school of mathematics, notableWork, Éléments de mathématique]
Generated description
Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Éléments de mathématique
Target entity description: Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
  • A. Cours d’Analyse
    Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
  • B. Éléments de géométrie algébrique
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • C. Les Principes du calcul infinitésimal
    Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
  • D. Théorie analytique des probabilités
    Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
  • E. Séminaire de Géométrie Algébrique du Bois Marie
    Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
  • 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_69c69f2da22c8190a50942ac20af70e8 completed March 27, 2026, 3:15 p.m.
NER Named-entity recognition batch_69c6f8b8165481908285fc9697fe4c99 completed March 27, 2026, 9:38 p.m.
NED1 Entity disambiguation (via context triple) batch_69c84f33c968819089fd0a2b07b076a3 completed March 28, 2026, 9:59 p.m.
NEDg Description generation batch_69c84fb8382881909f29472230550aff completed March 28, 2026, 10:01 p.m.
NED2 Entity disambiguation (via description) batch_69c850327c8c81908c3e1ccf58b5bd74 completed March 28, 2026, 10:03 p.m.
Created at: March 27, 2026, 3:49 p.m.