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: Königsberg school of mathematics | Statement: [Friedrich Richelot, memberOf, Königsberg school of mathematics]

Target entity: Königsberg school of mathematics
Context triple: [Friedrich Richelot, memberOf, Königsberg school of mathematics]

• A. Göttingen school of mathematics
  The Göttingen school of mathematics was a highly influential early 20th-century mathematical tradition centered at the University of Göttingen, renowned for groundbreaking work in analysis, topology, and mathematical physics under figures like David Hilbert and Felix Klein.
• B. Saint Petersburg mathematical school
  The Saint Petersburg mathematical school is a renowned Russian tradition of mathematical research and education, particularly influential in probability theory, analysis, and mathematical logic.
• C. Lwów School of Mathematics
  The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
• D. Polish School of Mathematics
  The Polish School of Mathematics was a renowned early 20th-century mathematical tradition centered in cities like Warsaw and Lwów, noted for its groundbreaking work in areas such as functional analysis, topology, and logic.
• E. Kraków School of Mathematics
  The Kraków School of Mathematics was a prominent early 20th-century Polish mathematical community centered in Kraków, known for significant contributions to areas such as analysis and differential equations.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Königsberg school of mathematics
Target entity description: The Königsberg school of mathematics was a 19th-century mathematical tradition centered at the University of Königsberg, known for its influential work in analysis, geometry, and the training of prominent mathematicians.

• A. Göttingen school of mathematics
  The Göttingen school of mathematics was a highly influential early 20th-century mathematical tradition centered at the University of Göttingen, renowned for groundbreaking work in analysis, topology, and mathematical physics under figures like David Hilbert and Felix Klein.
• B. Saint Petersburg mathematical school
  The Saint Petersburg mathematical school is a renowned Russian tradition of mathematical research and education, particularly influential in probability theory, analysis, and mathematical logic.
• C. Lwów School of Mathematics
  The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
• D. Polish School of Mathematics
  The Polish School of Mathematics was a renowned early 20th-century mathematical tradition centered in cities like Warsaw and Lwów, noted for its groundbreaking work in areas such as functional analysis, topology, and logic.
• E. Kraków School of Mathematics
  The Kraków School of Mathematics was a prominent early 20th-century Polish mathematical community centered in Kraków, known for significant contributions to areas such as analysis and differential equations.
• F. None of above. chosen