Triple

T15990193
Position Surface form Disambiguated ID Type / Status
Subject Kripke–Platek set theory E387803 entity
Predicate hasVariant P455 FINISHED
Object Kripke–Platek set theory with urelements E387803 NE FINISHED

How this triple was built (2 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: Kripke–Platek set theory with urelements | Statement: [Kripke–Platek set theory, hasVariant, Kripke–Platek set theory with urelements]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Kripke–Platek set theory with urelements
Context triple: [Kripke–Platek set theory, hasVariant, Kripke–Platek set theory with urelements]
  • A. Kripke–Platek set theory chosen
    Kripke–Platek set theory is a weaker, predicative subsystem of Zermelo–Fraenkel set theory focused on sets that are explicitly constructible and often used in the study of admissible sets and recursion theory.
  • B. Fraenkel–Mostowski permutation models
    Fraenkel–Mostowski permutation models are set-theoretic constructions using permutations of atoms to demonstrate the independence of certain choice principles from Zermelo–Fraenkel set theory.
  • C. Morse–Kelley set theory by class–set distinction
    Morse–Kelley set theory by class–set distinction is a foundational system that avoids certain set-theoretic paradoxes by rigorously distinguishing between sets and proper classes within a powerful axiomatic framework.
  • 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. 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.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69e157829ec08190aa4a683e29a0148a completed April 16, 2026, 9:41 p.m.
NED1 Entity disambiguation (via context triple) batch_69ffc3d2369081909efa2d4addf0cf2d completed May 9, 2026, 11:31 p.m.
Created at: April 10, 2026, 4:54 a.m.