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: Borel’s paradox | Statement: [Émile Borel, notableWork, Borel’s paradox]

Target entity: Borel’s paradox
Context triple: [Émile Borel, notableWork, Borel’s paradox]

• A. Borel–Kolmogorov paradox chosen
  The Borel–Kolmogorov paradox is a famous example in probability theory showing that conditional probabilities on events of measure zero can be ambiguous without specifying the underlying limiting procedure or σ-algebra.
• B. Borel
  Borel is a French surname most notably associated with Émile Borel, a pioneering mathematician in measure theory and probability.
• C. Banach–Tarski paradox
  The Banach–Tarski paradox is a theorem in set-theoretic geometry stating that a solid ball in 3‑dimensional space can be decomposed into finitely many non-measurable pieces and reassembled into two identical copies of the original ball, highlighting counterintuitive consequences of the axiom of choice.
• D. Mazurkiewicz–Sierpiński paradox
  The Mazurkiewicz–Sierpiński paradox is a result in set-theoretic geometry showing that a sphere can be decomposed and reassembled in a counterintuitive way, illustrating the existence of paradoxical decompositions similar to the Banach–Tarski paradox.
• E. Busemann–Feller theorem
  The Busemann–Feller theorem is a result in geometric measure theory that characterizes when a metric space is geodesic by relating distance properties to the existence of shortest paths between points.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.