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: Tarski–Mostowski–Robinson characterization of elementary classes | Statement: [Tarski–Mostowski–Robinson theorem, hasAlternativeName, Tarski–Mostowski–Robinson characterization of elementary classes]

Target entity: Tarski–Mostowski–Robinson characterization of elementary classes
Context triple: [Tarski–Mostowski–Robinson theorem, hasAlternativeName, Tarski–Mostowski–Robinson characterization of elementary classes]

• A. Tarski–Mostowski–Robinson theorem chosen
  The Tarski–Mostowski–Robinson theorem is a fundamental result in model theory that characterizes when a class of structures is first-order axiomatizable, linking definability properties with closure under ultraproducts and isomorphisms.
• B. Tarski’s theorem on the completeness of elementary algebra and geometry
  Tarski’s theorem on the completeness of elementary algebra and geometry is a foundational result in mathematical logic showing that the first-order theory of real closed fields (capturing elementary algebra and Euclidean geometry) is complete, decidable, and admits quantifier elimination.
• C. New Foundations for Mathematical Logic
  New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
• D. arithmetization of syntax
  Arithmetization of syntax is a method in mathematical logic that encodes formal language expressions and proofs as natural numbers so that syntactic properties can be studied using arithmetic.
• E. Hilbert-style deductive systems
  Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.