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: Sylvester–Gallai theorem | Statement: [James Joseph Sylvester, notableConcept, Sylvester–Gallai theorem]

Target entity: Sylvester–Gallai theorem
Context triple: [James Joseph Sylvester, notableConcept, Sylvester–Gallai theorem]

• A. Sylvester–Gallai theorem chosen
  The Sylvester–Gallai theorem is a result in incidence geometry stating that for any finite set of points in the Euclidean plane not all on a single line, there exists a line that passes through exactly two of the points.
• B. Szemerédi–Trotter theorem
  The Szemerédi–Trotter theorem is a fundamental result in combinatorial geometry that gives near-optimal upper bounds on the number of incidences between points and lines in the plane.
• C. de Bruijn–Erdős theorem
  The de Bruijn–Erdős theorem is a fundamental result in combinatorics and graph theory that relates finite and infinite structures, notably asserting that certain properties of infinite graphs or set systems are determined by their finite substructures.
• D. Erdős–Szekeres theorem
  The Erdős–Szekeres theorem is a fundamental result in combinatorial geometry that guarantees the existence of large convex polygons within sufficiently large sets of points in the plane in general position.
• E. Helly’s theorem
  Helly’s theorem is a fundamental result in convex geometry that gives conditions under which a family of convex sets in Euclidean space has a nonempty common intersection.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.