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: Philosophie der Arithmetik | Statement: [Philosophy of Arithmetic, originalTitle, Philosophie der Arithmetik]

Target entity: Philosophie der Arithmetik
Context triple: [Philosophy of Arithmetic, originalTitle, Philosophie der Arithmetik]

• A. Die Grundlagen der Arithmetik
  Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
• B. Grundgesetze der Arithmetik, Volume I
  Grundgesetze der Arithmetik, Volume I is Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he develops his formal system aimed at deriving arithmetic from purely logical principles.
• C. Lectures on the Logic of Arithmetic
  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.
• D. Arithmetices principia, nova methodo exposita
  Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
• E. Frege’s Conception of Numbers as Objects
  Frege’s Conception of Numbers as Objects is a major philosophical work by Crispin Wright that offers an influential interpretation and defense of Gottlob Frege’s view that numbers are abstract objects grounded in logic.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Philosophie der Arithmetik
Target entity description: Philosophie der Arithmetik is Edmund Husserl’s early foundational work in the philosophy of mathematics, examining the psychological and logical basis of number concepts.

• A. Die Grundlagen der Arithmetik
  Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
• B. Grundgesetze der Arithmetik, Volume I
  Grundgesetze der Arithmetik, Volume I is Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he develops his formal system aimed at deriving arithmetic from purely logical principles.
• C. Lectures on the Logic of Arithmetic
  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.
• D. Arithmetices principia, nova methodo exposita
  Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
• E. Frege’s Conception of Numbers as Objects
  Frege’s Conception of Numbers as Objects is a major philosophical work by Crispin Wright that offers an influential interpretation and defense of Gottlob Frege’s view that numbers are abstract objects grounded in logic.
• F. None of above. chosen