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: Morse–Kelley set theory (in proof-theoretic strength) | Statement: [von Neumann–Bernays–Gödel set theory, isWeakerThan, Morse–Kelley set theory (in proof-theoretic strength)]

Target entity: Morse–Kelley set theory (in proof-theoretic strength)
Context triple: [von Neumann–Bernays–Gödel set theory, isWeakerThan, Morse–Kelley set theory (in proof-theoretic strength)]

• A. Morse–Kelley set theory by class–set distinction chosen
  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.
• B. 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.
• C. 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.
• D. 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.
• E. Tarski's undefinability theorem
  Tarski's undefinability theorem is a fundamental result in mathematical logic showing that, in sufficiently strong formal systems, the notion of truth for the language of the system cannot be defined within that same language.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: isWeakerThan
Context triple: [von Neumann–Bernays–Gödel set theory, isWeakerThan, Morse–Kelley set theory (in proof-theoretic strength)]

• A. weakerThan chosen
  Indicates that one entity has less strength, power, or effectiveness than another entity.
• B. isStrongerThan
  Indicates that one entity possesses greater physical power, force, or effectiveness than another entity.
• C. strongerThan
  Indicates that one entity possesses greater strength, power, or intensity than another.
• D. hasLessFinancialPowersThan
  Indicates that one entity’s authority or capacity to make financial decisions or control financial resources is lower or more limited than that of another entity.
• E. isLessEfficientThan
  Indicates that one entity performs a task or uses resources with lower efficiency compared to another entity.
• F. None of above.