Triple

T6660367
Position Surface form Disambiguated ID Type / Status
Subject Felix Hausdorff E151458 entity
Predicate notableWork P4 FINISHED
Object 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.
E608813 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: Grundzüge der Mengenlehre | Statement: [Felix Hausdorff, notableWork, Grundzüge der Mengenlehre]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Grundzüge der Mengenlehre
Context triple: [Felix Hausdorff, notableWork, Grundzüge der Mengenlehre]
  • A. 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.
  • B. Untersuchungen über die Grundlagen der Mengenlehre
    Untersuchungen über die Grundlagen der Mengenlehre is Ernst Zermelo’s foundational work in set theory, in which he formulated and axiomatized key principles that shaped modern axiomatic set theory.
  • C. Grundgesetze der Arithmetik, Volume I
    Grundgesetze der Arithmetik, Volume I is Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he develops his formal system aimed at deriving arithmetic from purely logical principles.
  • D. Grundgesetze der Arithmetik, Volume II
    Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
  • E. 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.
  • 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: Grundzüge der Mengenlehre
Triple: [Felix Hausdorff, notableWork, Grundzüge der Mengenlehre]
Generated description
Grundzüge der Mengenlehre is a foundational early 20th-century textbook on set theory that helped formalize and shape modern axiomatic set theory and topology.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Grundzüge der Mengenlehre
Target entity description: Grundzüge der Mengenlehre is a foundational early 20th-century textbook on set theory that helped formalize and shape modern axiomatic set theory and topology.
  • A. 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.
  • B. Untersuchungen über die Grundlagen der Mengenlehre
    Untersuchungen über die Grundlagen der Mengenlehre is Ernst Zermelo’s foundational work in set theory, in which he formulated and axiomatized key principles that shaped modern axiomatic set theory.
  • C. Grundgesetze der Arithmetik, Volume I
    Grundgesetze der Arithmetik, Volume I is Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he develops his formal system aimed at deriving arithmetic from purely logical principles.
  • D. Grundgesetze der Arithmetik, Volume II
    Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
  • E. 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.
  • 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_69c687f5fac48190a09e4838d9c6b45d completed March 27, 2026, 1:36 p.m.
NER Named-entity recognition batch_69c6b071cc6c81909d7df1841c645661 completed March 27, 2026, 4:29 p.m.
NED1 Entity disambiguation (via context triple) batch_69c6ef0738a88190802abaeb0ab0a927 completed March 27, 2026, 8:56 p.m.
NEDg Description generation batch_69c6f0a3f0b481908dfe70d626277e8f completed March 27, 2026, 9:03 p.m.
NED2 Entity disambiguation (via description) batch_69c6f1a3995c8190b22766356b6e6bf8 completed March 27, 2026, 9:07 p.m.
Created at: March 27, 2026, 2:02 p.m.