Triple

T2139590
Position Surface form Disambiguated ID Type / Status
Subject Jacques Herbrand E46730 entity
Predicate notableWork P4 FINISHED
Object Recherches sur la théorie de la démonstration
Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
E238238 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: Recherches sur la théorie de la démonstration | Statement: [Jacques Herbrand, notableWork, Recherches sur la théorie de la démonstration]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Recherches sur la théorie de la démonstration
Context triple: [Jacques Herbrand, notableWork, Recherches sur la théorie de la démonstration]
  • A. Lectures on the Logic of Arithmetic
    Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
  • B. Hilbert’s program
    Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
  • C. Remarks on the Foundations of Mathematics
    Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
  • D. Hilbert and Ackermann’s "Grundzüge der theoretischen Logik"
    Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" is a foundational early 20th-century textbook that systematically developed first-order logic and helped establish mathematical logic as a rigorous formal discipline.
  • E. Frege’s system in "Grundgesetze der Arithmetik"
    Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
  • 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: Recherches sur la théorie de la démonstration
Triple: [Jacques Herbrand, notableWork, Recherches sur la théorie de la démonstration]
Generated description
Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Recherches sur la théorie de la démonstration
Target entity description: Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
  • A. Lectures on the Logic of Arithmetic
    Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
  • B. Hilbert’s program
    Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
  • C. Remarks on the Foundations of Mathematics
    Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
  • D. Hilbert and Ackermann’s "Grundzüge der theoretischen Logik"
    Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" is a foundational early 20th-century textbook that systematically developed first-order logic and helped establish mathematical logic as a rigorous formal discipline.
  • E. Frege’s system in "Grundgesetze der Arithmetik"
    Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
  • 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_69a88a174ab48190a5db20c132e5dccf completed March 4, 2026, 7:37 p.m.
NER Named-entity recognition batch_69abbe025d3c81908bcb33a7ff09eae8 completed March 7, 2026, 5:56 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae51b1290c8190a08850b428c99a6c completed March 9, 2026, 4:50 a.m.
NEDg Description generation batch_69ae55923b748190bf7a2df3ae94edc8 completed March 9, 2026, 5:07 a.m.
NED2 Entity disambiguation (via description) batch_69ae55fdc32c8190b6ecdc9b23d64cc5 completed March 9, 2026, 5:09 a.m.
Created at: March 4, 2026, 7:44 p.m.