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: Introduction to Arithmetic | Statement: [Hellenistic mathematics, notableWork, Introduction to Arithmetic]

Target entity: Introduction to Arithmetic
Context triple: [Hellenistic mathematics, notableWork, Introduction to Arithmetic]

• A. Elements of Arithmetic
  Elements of Arithmetic is a foundational 19th-century mathematics textbook by Augustus De Morgan that systematically develops the principles of arithmetic and number theory.
• B. Key to Arithmetic
  Key to Arithmetic is a foundational 15th-century mathematical treatise by Persian astronomer and mathematician Jamshid al-Kashi, known for its systematic treatment of arithmetic and numerical computation.
• C. An Introduction to Algebra
  An Introduction to Algebra is a foundational mathematics textbook authored by Jeremiah Day that presents the basic principles and methods of algebra.
• D. Fundamental Concepts of Algebra
  Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
• E. Grundlagen der Mathematik
  Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Introduction to Arithmetic
Target entity description: Introduction to Arithmetic is an influential ancient Greek mathematical treatise by Nicomachus of Gerasa that systematically presents number theory and arithmetic within the philosophical tradition of Hellenistic mathematics.

• A. Elements of Arithmetic
  Elements of Arithmetic is a foundational 19th-century mathematics textbook by Augustus De Morgan that systematically develops the principles of arithmetic and number theory.
• B. Key to Arithmetic
  Key to Arithmetic is a foundational 15th-century mathematical treatise by Persian astronomer and mathematician Jamshid al-Kashi, known for its systematic treatment of arithmetic and numerical computation.
• C. An Introduction to Algebra
  An Introduction to Algebra is a foundational mathematics textbook authored by Jeremiah Day that presents the basic principles and methods of algebra.
• D. Fundamental Concepts of Algebra
  Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
• E. Grundlagen der Mathematik
  Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
• F. None of above. chosen