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 theorem | Statement: [Ramsey theory, hasCentralConcept, Ramsey theorem]

Target entity: Ramsey theorem
Context triple: [Ramsey theory, hasCentralConcept, Ramsey theorem]

• A. Ramsey theory
  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.
• 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. Graham–Rothschild theorem
  The Graham–Rothschild theorem is a fundamental result in Ramsey theory that generalizes classical partition theorems to higher-dimensional combinatorial structures.
• 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. Ramsey multiplicity
  Ramsey multiplicity is a concept in Ramsey theory that quantifies the minimum number of monochromatic substructures (such as cliques) that must appear in any edge-coloring of a large enough complete graph.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Ramsey theorem
Triple: [Ramsey theory, hasCentralConcept, Ramsey theorem]

Ramsey theorem is a fundamental result in combinatorics stating that in any sufficiently large structure, one can always find a large, highly ordered substructure.

Target entity: Ramsey theorem
Target entity description: Ramsey theorem is a fundamental result in combinatorics stating that in any sufficiently large structure, one can always find a large, highly ordered substructure.

• A. 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.
• 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. Graham–Rothschild theorem
  The Graham–Rothschild theorem is a fundamental result in Ramsey theory that generalizes classical partition theorems to higher-dimensional combinatorial structures.
• 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. Ramsey multiplicity
  Ramsey multiplicity is a concept in Ramsey theory that quantifies the minimum number of monochromatic substructures (such as cliques) that must appear in any edge-coloring of a large enough complete graph.
• F. None of above.