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: Gödel’s incompleteness theorems | Statement: [The Consistency of the Continuum Hypothesis, relatedWork, Gödel’s incompleteness theorems]

Target entity: Gödel’s incompleteness theorems
Context triple: [The Consistency of the Continuum Hypothesis, relatedWork, Gödel’s incompleteness theorems]

• A. Gödel's incompleteness theorems chosen
  Gödel's incompleteness theorems are two fundamental results in mathematical logic showing that any sufficiently powerful, consistent formal system cannot prove all true statements about arithmetic, and cannot prove its own consistency.
• B. Reflections on Kurt Gödel
  Reflections on Kurt Gödel is a philosophical and biographical study in which logician Hao Wang presents his conversations with and insights about Kurt Gödel’s life, work, and views on logic, mathematics, and philosophy.
• C. Tarski's undefinability theorem
  Tarski's undefinability theorem is a fundamental result in mathematical logic showing that, in sufficiently strong formal systems, the notion of truth for the language of the system cannot be defined within that same language.
• D. Gödel’s Proof
  Gödel’s Proof is a classic introductory book that explains Kurt Gödel’s incompleteness theorems in accessible, non-technical terms for a general audience.
• E. Hilbert’s program
  Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.