Triple

T3780713
Position Surface form Disambiguated ID Type / Status
Subject set theory E85409 entity
Predicate hasAxiomSystem P4930 FINISHED
Object naive set theory E361579 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: naive set theory | Statement: [set theory, hasAxiomSystem, naive set theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: naive set theory
Context triple: [set theory, hasAxiomSystem, naive set theory]
  • A. naive set theory chosen
    Naive set theory is an early, intuitive approach to set theory that treats any definable collection as a set, but is known to be inconsistent due to paradoxes such as Russell’s and Curry’s.
  • B. set theory
    Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
  • C. Zermelo–Fraenkel set theory
    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.
  • D. 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.
  • E. von Neumann universe
    The von Neumann universe is a cumulative, well-founded hierarchy of sets used as a standard model of the set-theoretic universe in axiomatic 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_69aed937fa8881908208ef3801060826 completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69aee76570b481909c26d47a3251b180 completed March 9, 2026, 3:29 p.m.
NED1 Entity disambiguation (via context triple) batch_69b4f040676c8190aa3a7952a9d6f62b completed March 14, 2026, 5:21 a.m.
Created at: March 9, 2026, 3:12 p.m.