Triple

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).

Phrase: Zermelo–Fraenkel set theory | Statement: [von Neumann–Bernays–Gödel set theory, isConservativeOver, Zermelo–Fraenkel set theory]

Target entity: Zermelo–Fraenkel set theory
Context triple: [von Neumann–Bernays–Gödel set theory, isConservativeOver, 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. set theory
  Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
• 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.

Target predicate: isConservativeOver
Context triple: [von Neumann–Bernays–Gödel set theory, isConservativeOver, Zermelo–Fraenkel set theory]

• A. identifiesAsConservativeLineageTo
  Indicates that one entity regards another as belonging to, or continuing, a conservative ideological or traditional lineage.
• B. conserves
  Indicates that an entity protects, preserves, or maintains another entity or resource in its existing state, preventing loss, damage, or depletion.
• C. isMostly
  Indicates that one entity constitutes the greater part or majority of another entity in amount, extent, or composition.
• D. isSelective
  Indicates that the relationship or action involves choosing or affecting only certain specific entities or options while excluding others based on particular criteria.
• E. hasConservationFunction
  Indicates that an entity serves a role or performs activities aimed at preserving, protecting, or maintaining the condition of another entity or resource.
• F. None of above. chosen