Triple

T15990200
Position Surface form Disambiguated ID Type / Status
Subject Kripke–Platek set theory E387803 entity
Predicate isInterpretableIn P121196 FINISHED
Object Zermelo–Fraenkel set theory E13857 NE FINISHED

How this triple was built (3 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: Zermelo–Fraenkel set theory | Statement: [Kripke–Platek set theory, isInterpretableIn, Zermelo–Fraenkel set theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Zermelo–Fraenkel set theory
Context triple: [Kripke–Platek set theory, isInterpretableIn, Zermelo–Fraenkel set theory]
  • A. Zermelo–Fraenkel set theory chosen
    Zermelo–Fraenkel set theory is the standard axiomatic framework for modern set theory, designed to avoid paradoxes and provide a rigorous foundation for much of mathematics.
  • B. Zermelo set theory
    Zermelo set theory is an early axiomatic system for set theory, introduced by Ernst Zermelo to rigorously formalize the concept of sets and avoid known paradoxes.
  • C. von Neumann–Bernays–Gödel set theory
    Von Neumann–Bernays–Gödel set theory is an axiomatic set theory extending Zermelo–Fraenkel set theory by formally distinguishing between sets and classes, widely used in foundational studies of mathematics.
  • D. Kripke–Platek set theory
    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.
  • E. set theory
    Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isInterpretableIn
Context triple: [Kripke–Platek set theory, isInterpretableIn, Zermelo–Fraenkel set theory]
  • A. isInterpretedBy
    Indicates that something (such as data, a work, or a signal) is given meaning, understanding, or explanation by a particular agent or process.
  • B. areInterpretedInPracticeBy
    Indicates that something (such as a rule, concept, or specification) is given concrete meaning or applied in real-world situations by a particular agent or group.
  • C. containsInterpretationOf
    Indicates that one entity includes or embodies an interpretation or understanding of another entity.
  • D. hasExplicitInterpretation
    Indicates that something is associated with a clearly defined and unambiguous meaning or interpretation.
  • E. isInterpretedDifferentlyIn
    Indicates that the same item, event, or expression is understood or construed in a different way within a specified context, group, or setting.
  • 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_69e17d4e871c819082d7b1c1eaf5b4fe completed April 17, 2026, 12:22 a.m.
NED1 Entity disambiguation (via context triple) batch_69ffcf1cb1388190b1ebccc6705e5974 completed May 10, 2026, 12:19 a.m.
PD Predicate disambiguation batch_69e142d9d8e881909b559a3e3ca21d24 completed April 16, 2026, 8:13 p.m.
PDg Predicate description generation batch_69e17d48cc9c8190b03fd07ae2e9dfd8 completed April 17, 2026, 12:22 a.m.
Created at: April 10, 2026, 4:54 a.m.