Triple

T6594148
Position Surface form Disambiguated ID Type / Status
Subject Stephen Kleene E148433 entity
Predicate notableWork P4 FINISHED
Object Introduction to Metamathematics
Introduction to Metamathematics is a classic 1952 textbook by Stephen Kleene that systematically develops the foundations of mathematical logic and recursion theory.
E601582 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: Introduction to Metamathematics | Statement: [Stephen Kleene, notableWork, Introduction to Metamathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Introduction to Metamathematics
Context triple: [Stephen Kleene, notableWork, Introduction to Metamathematics]
  • 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. 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.
  • C. 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.
  • D. New Foundations for Mathematical Logic
    New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
  • E. “Logic, Semantics, Metamathematics”
    “Logic, Semantics, Metamathematics” is a landmark collection of Alfred Tarski’s foundational papers that helped shape modern logic, model theory, and the formal study of truth.
  • 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: Introduction to Metamathematics
Triple: [Stephen Kleene, notableWork, Introduction to Metamathematics]
Generated description
Introduction to Metamathematics is a classic 1952 textbook by Stephen Kleene that systematically develops the foundations of mathematical logic and recursion theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Introduction to Metamathematics
Target entity description: Introduction to Metamathematics is a classic 1952 textbook by Stephen Kleene that systematically develops the foundations of mathematical logic and recursion theory.
  • 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. 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.
  • C. 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.
  • D. New Foundations for Mathematical Logic
    New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
  • E. “Logic, Semantics, Metamathematics”
    “Logic, Semantics, Metamathematics” is a landmark collection of Alfred Tarski’s foundational papers that helped shape modern logic, model theory, and the formal study of truth.
  • 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_69c687e7b8688190811ffee72e096468 completed March 27, 2026, 1:36 p.m.
NER Named-entity recognition batch_69c6aed0b364819081cb02af7a38ef11 completed March 27, 2026, 4:22 p.m.
NED1 Entity disambiguation (via context triple) batch_69c6cbba656c81909c3876a8f2f7300e completed March 27, 2026, 6:26 p.m.
NEDg Description generation batch_69c6cd09753c81909df166156ffbf82a completed March 27, 2026, 6:31 p.m.
NED2 Entity disambiguation (via description) batch_69c6ce9ba47c819091496c87117e7a03 completed March 27, 2026, 6:38 p.m.
Created at: March 27, 2026, 1:55 p.m.