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: Ars combinatoria | Statement: [Ramon Llull, notableIdea, Ars combinatoria]

Target entity: Ars combinatoria
Context triple: [Ramon Llull, notableIdea, Ars combinatoria]

• A. Foundations of Combinatorial Theory
  Foundations of Combinatorial Theory is a seminal mathematical work by Gian-Carlo Rota that helped establish modern combinatorics as a rigorous and unified field of study.
• B. Foundations of Combinatorics via Linear Algebra
  Foundations of Combinatorics via Linear Algebra is a seminal textbook by Gian-Carlo Rota that develops key topics in combinatorics through the methods and perspective of linear algebra.
• C. A Combinatorial Problem
  "A Combinatorial Problem" is a classic mathematical paper by N. G. de Bruijn that introduces and analyzes a fundamental counting problem in combinatorics.
• D. Fellini–Rota collaborations
  The Fellini–Rota collaborations are the celebrated series of film projects in which Italian director Federico Fellini worked closely with composer Nino Rota to create some of the most iconic and influential soundtracks in cinema history.
• E. Hungarian school of combinatorics
  The Hungarian school of combinatorics is a highly influential tradition in discrete mathematics centered in Hungary, renowned for its deep results, problem-solving culture, and leading figures such as Paul Erdős and his collaborators.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Ars combinatoria
Target entity description: Ars combinatoria is a logical and philosophical system devised by Ramon Llull that uses combinatorial diagrams and symbols to explore and demonstrate theological and metaphysical truths.

• A. Foundations of Combinatorial Theory
  Foundations of Combinatorial Theory is a seminal mathematical work by Gian-Carlo Rota that helped establish modern combinatorics as a rigorous and unified field of study.
• B. Foundations of Combinatorics via Linear Algebra
  Foundations of Combinatorics via Linear Algebra is a seminal textbook by Gian-Carlo Rota that develops key topics in combinatorics through the methods and perspective of linear algebra.
• C. A Combinatorial Problem
  "A Combinatorial Problem" is a classic mathematical paper by N. G. de Bruijn that introduces and analyzes a fundamental counting problem in combinatorics.
• D. Fellini–Rota collaborations
  The Fellini–Rota collaborations are the celebrated series of film projects in which Italian director Federico Fellini worked closely with composer Nino Rota to create some of the most iconic and influential soundtracks in cinema history.
• E. Hungarian school of combinatorics
  The Hungarian school of combinatorics is a highly influential tradition in discrete mathematics centered in Hungary, renowned for its deep results, problem-solving culture, and leading figures such as Paul Erdős and his collaborators.
• F. None of above. chosen