Triple

T15990313
Position Surface form Disambiguated ID Type / Status
Subject Kazimierz Kuratowski E387805 entity
Predicate notableWork P4 FINISHED
Object Introduction to Set Theory and Topology
"Introduction to Set Theory and Topology" is a foundational mathematics textbook by Kazimierz Kuratowski that systematically develops the basic concepts of set theory and general topology.
E1187539 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 Set Theory and Topology | Statement: [Kazimierz Kuratowski, notableWork, Introduction to Set Theory and Topology]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Introduction to Set Theory and Topology
Context triple: [Kazimierz Kuratowski, notableWork, Introduction to Set Theory and Topology]
  • A. Introduction to General Topology
    Introduction to General Topology is a foundational mathematical text by Wacław Sierpiński that systematically develops the basic concepts and structures of general topology.
  • B. Introduction to Set Theory
    Introduction to Set Theory is a foundational mathematics textbook that presents the basic concepts, methods, and results of modern set theory for advanced undergraduates and beginning graduate students.
  • C. Einleitung in die Mengenlehre
    Einleitung in die Mengenlehre is a foundational textbook on set theory authored by mathematician Abraham Fraenkel, which helped shape the modern axiomatic treatment of sets.
  • D. 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.
  • E. Grundzüge der Mengenlehre
    Grundzüge der Mengenlehre is a foundational early 20th-century textbook on set theory that helped formalize and shape modern axiomatic set theory and topology.
  • 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 Set Theory and Topology
Triple: [Kazimierz Kuratowski, notableWork, Introduction to Set Theory and Topology]
Generated description
"Introduction to Set Theory and Topology" is a foundational mathematics textbook by Kazimierz Kuratowski that systematically develops the basic concepts of set theory and general topology.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Introduction to Set Theory and Topology
Target entity description: "Introduction to Set Theory and Topology" is a foundational mathematics textbook by Kazimierz Kuratowski that systematically develops the basic concepts of set theory and general topology.
  • A. Introduction to General Topology
    Introduction to General Topology is a foundational mathematical text by Wacław Sierpiński that systematically develops the basic concepts and structures of general topology.
  • B. Introduction to Set Theory
    Introduction to Set Theory is a foundational mathematics textbook that presents the basic concepts, methods, and results of modern set theory for advanced undergraduates and beginning graduate students.
  • C. Einleitung in die Mengenlehre
    Einleitung in die Mengenlehre is a foundational textbook on set theory authored by mathematician Abraham Fraenkel, which helped shape the modern axiomatic treatment of sets.
  • D. 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.
  • E. Grundzüge der Mengenlehre
    Grundzüge der Mengenlehre is a foundational early 20th-century textbook on set theory that helped formalize and shape modern axiomatic set theory and topology.
  • 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_69d86daa562c81908aacc179c0fe8fb5 completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e157835cac81909e979f9be281f328 completed April 16, 2026, 9:41 p.m.
NED1 Entity disambiguation (via context triple) batch_69ffc3d2369081909efa2d4addf0cf2d completed May 9, 2026, 11:31 p.m.
NEDg Description generation batch_69ffc45e6ff48190bb7b82adb4161ad0 completed May 9, 2026, 11:33 p.m.
NED2 Entity disambiguation (via description) batch_69ffc4cea4108190927b107fc24df597 completed May 9, 2026, 11:35 p.m.
Created at: April 10, 2026, 4:54 a.m.