Triple

T15785646
Position Surface form Disambiguated ID Type / Status
Subject New Foundations for Mathematical Logic E382730 entity
Predicate relatedWorkByAuthor P922 FINISHED
Object Set Theory and Its Logic
Set Theory and Its Logic is a foundational work by W.V.O. Quine that develops set theory within a rigorous logical framework, exploring its axioms, paradoxes, and philosophical implications.
 E1176573 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

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: Set Theory and Its Logic | Statement: [New Foundations for Mathematical Logic, relatedWorkByAuthor, Set Theory and Its Logic]

Disambiguation candidates (2 decisions)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Set Theory and Its Logic
Context triple: [New Foundations for Mathematical Logic, relatedWorkByAuthor, Set Theory and Its Logic]
  • A. Foundations of Set Theory (with Andrey Kolmogorov)
    "Foundations of Set Theory" is a classic 20th-century mathematical text co-authored by Pavel Alexandrov and Andrey Kolmogorov that systematically develops the basic concepts and axioms of set theory.
  • B. Logic, Language, and the Foundations of Mathematics
    Logic, Language, and the Foundations of Mathematics is a scholarly work exploring the interconnections between formal logic, linguistic structure, and the philosophical and mathematical underpinnings of rigorous reasoning.
  • C. Handbook of Boolean Algebras
    The *Handbook of Boolean Algebras* is a comprehensive multi-volume reference work that surveys the theory, structure, and applications of Boolean algebras in modern mathematics and logic.
  • D. set theory
    Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
  • E. From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931
    From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931 is a landmark anthology that collects and translates many of the foundational papers in modern mathematical logic from the late 19th to early 20th century.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Set Theory and Its Logic
Target entity description: Set Theory and Its Logic is a foundational work by W.V.O. Quine that develops set theory within a rigorous logical framework, exploring its axioms, paradoxes, and philosophical implications.
  • A. Foundations of Set Theory (with Andrey Kolmogorov)
    "Foundations of Set Theory" is a classic 20th-century mathematical text co-authored by Pavel Alexandrov and Andrey Kolmogorov that systematically develops the basic concepts and axioms of set theory.
  • B. Logic, Language, and the Foundations of Mathematics
    Logic, Language, and the Foundations of Mathematics is a scholarly work exploring the interconnections between formal logic, linguistic structure, and the philosophical and mathematical underpinnings of rigorous reasoning.
  • C. Handbook of Boolean Algebras
    The *Handbook of Boolean Algebras* is a comprehensive multi-volume reference work that surveys the theory, structure, and applications of Boolean algebras in modern mathematics and logic.
  • D. set theory
    Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
  • E. From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931
    From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931 is a landmark anthology that collects and translates many of the foundational papers in modern mathematical logic from the late 19th to early 20th century.
  • F. None of above. chosen

How the object was described

The object's one-sentence description was generated by prompting gpt-5.1 with the object name and this triple as context.

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: Set Theory and Its Logic
Triple: [New Foundations for Mathematical Logic, relatedWorkByAuthor, Set Theory and Its Logic]
Generated description
Set Theory and Its Logic is a foundational work by W.V.O. Quine that develops set theory within a rigorous logical framework, exploring its axioms, paradoxes, and philosophical implications.

Provenance (5 batches)

Stage Batch ID Job type Status
creating batch_69d86da16e188190b89af699f1ed0bfe elicitation completed
NER batch_69e0540380448190a025338f0e62e6d1 ner completed
NED1 batch_69ff90a4661481909d04bcb9f5043a6b ned_source_triple completed
NED2 batch_69ff93fc19048190981d8e44ee5222f7 ned_description completed
NEDg batch_69ff935867d08190955c2d665a761a5e nedg completed
Created at: April 10, 2026, 4:48 a.m.