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: Ramsey’s theorem | Statement: [On a Problem of Formal Logic, hasConcept, Ramsey’s theorem]

Target entity: Ramsey’s theorem
Context triple: [On a Problem of Formal Logic, hasConcept, Ramsey’s theorem]

• A. Graham–Rothschild theorem
  The Graham–Rothschild theorem is a fundamental result in Ramsey theory that generalizes classical partition theorems to higher-dimensional combinatorial structures.
• B. Ramsey number
  A Ramsey number is the smallest integer n such that any coloring or partitioning of the edges of a complete graph on n vertices must contain a particular monochromatic substructure, making it a central object in combinatorics and graph theory.
• C. Ramsey theory chosen
  Ramsey theory is a branch of combinatorics that studies the conditions under which order or structure must appear within sufficiently large or complex mathematical objects.
• D. Erdős–Rado theorem
  The Erdős–Rado theorem is a fundamental result in combinatorial set theory that generalizes Ramsey’s theorem to infinite cardinals, establishing powerful partition relations for large sets.
• E. Hales–Jewett theorem
  The Hales–Jewett theorem is a fundamental result in Ramsey theory that guarantees the existence of large monochromatic combinatorial lines in high-dimensional grids under any finite coloring.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.