Triple

T2287277
Position Surface form Disambiguated ID Type / Status
Subject Begriffsschrift E51421 entity
Predicate introducedConcept P201 FINISHED
Object Fregean quantifier notation
Fregean quantifier notation is the formal logical symbolism for quantifiers developed by Gottlob Frege, which laid the foundation for modern predicate logic and the rigorous treatment of quantification.
E18534 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: Fregean quantifier notation | Statement: [Begriffsschrift, introducedConcept, Fregean quantifier notation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Fregean quantifier notation
Context triple: [Begriffsschrift, introducedConcept, Fregean quantifier notation]
  • A. 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.
  • B. On Denoting
    "On Denoting" is a seminal 1905 philosophical essay by Bertrand Russell that introduced his influential theory of descriptions and reshaped analytic philosophy of language.
  • C. The Logical Syntax of Language
    The Logical Syntax of Language is Rudolf Carnap’s seminal 1934 work that systematically develops a formal, logical framework for analyzing the structure and rules of scientific languages, helping to found logical empiricism and modern philosophy of language.
  • D. 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.
  • E. The Logical Structure of the World
    The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
  • 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: Fregean quantifier notation
Triple: [Begriffsschrift, introducedConcept, Fregean quantifier notation]
Generated description
Fregean quantifier notation is the formal logical symbolism for quantifiers developed by Gottlob Frege, which laid the foundation for modern predicate logic and the rigorous treatment of quantification.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Fregean quantifier notation
Target entity description: Fregean quantifier notation is the formal logical symbolism for quantifiers developed by Gottlob Frege, which laid the foundation for modern predicate logic and the rigorous treatment of quantification.
  • A. Frege’s system in "Grundgesetze der Arithmetik" chosen
    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.
  • B. On Denoting
    "On Denoting" is a seminal 1905 philosophical essay by Bertrand Russell that introduced his influential theory of descriptions and reshaped analytic philosophy of language.
  • C. The Logical Syntax of Language
    The Logical Syntax of Language is Rudolf Carnap’s seminal 1934 work that systematically develops a formal, logical framework for analyzing the structure and rules of scientific languages, helping to found logical empiricism and modern philosophy of language.
  • D. 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.
  • E. The Logical Structure of the World
    The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
  • F. None of above.

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_69a88b09c644819090b503456d96bf70 completed March 4, 2026, 7:42 p.m.
NER Named-entity recognition batch_69abc24868048190940512fd6449d99e completed March 7, 2026, 6:14 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae7f1b2a7c8190aa836f9feba2ce1a completed March 9, 2026, 8:04 a.m.
NEDg Description generation batch_69ae8004fb6c81908f9fb1678f608419 completed March 9, 2026, 8:08 a.m.
NED2 Entity disambiguation (via description) batch_69ae809ebfdc8190ae404d5711a58b59 completed March 9, 2026, 8:11 a.m.
Created at: March 4, 2026, 7:48 p.m.