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: Lectures on the Logic of Arithmetic | Statement: [Mary Everest, notableWork, Lectures on the Logic of Arithmetic]

Target entity: Lectures on the Logic of Arithmetic
Context triple: [Mary Everest, notableWork, Lectures on the Logic of Arithmetic]

• A. Lectures on the Logic of Arithmetic chosen
  Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
• B. Remarks on the Foundations of Mathematics
  Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
• 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. Recherches sur la théorie de la démonstration
  Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
• E. “Logic, Semantics, Metamathematics”
  “Logic, Semantics, Metamathematics” is a landmark collection of Alfred Tarski’s foundational papers that helped shape modern logic, model theory, and the formal study of truth.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.