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: Hilbert’s eighteenth problem | Statement: [Hilbert problems, hasPart, Hilbert’s eighteenth problem]

Target entity: Hilbert’s eighteenth problem
Context triple: [Hilbert problems, hasPart, Hilbert’s eighteenth problem]

• A. Euler’s polyhedron formula
  Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
• B. Penrose tilings
  Penrose tilings are non-periodic tilings of the plane that use a small set of shapes to create patterns with fivefold symmetry and no translational repetition, widely studied in mathematics and physics.
• C. Kepler–Poinsot polyhedra
  The Kepler–Poinsot polyhedra are the four regular star polyhedra that extend the concept of Platonic solids into non-convex, self-intersecting forms.
• D. Hilbert problems chosen
  The Hilbert problems are a famous list of 23 unsolved mathematical problems presented by David Hilbert in 1900 that profoundly influenced the development of 20th-century mathematics.
• E. Hilbert’s fourteenth problem
  Hilbert’s fourteenth problem is one of David Hilbert’s famous list of 23 problems, concerning the finite generation of certain algebras of invariants in algebraic geometry and invariant theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.