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: Chaitin’s incompleteness theorem | Statement: [Berry paradox, relatedTo, Chaitin’s incompleteness theorem]

Target entity: Chaitin’s incompleteness theorem
Context triple: [Berry paradox, relatedTo, Chaitin’s incompleteness theorem]

• A. 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.
• B. Gödel's incompleteness theorems
  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.
• C. Computability and Unsolvability
  Computability and Unsolvability is a classic 1958 textbook by Martin Davis that systematically develops the theory of computable functions and undecidable problems, helping to shape modern computability theory.
• D. The Undecidable
  The Undecidable is a classic anthology edited by Martin Davis that collects foundational papers on computability, Gödel’s incompleteness theorems, and the limits of formal mathematical systems.
• E. Kolmogorov complexity chosen
  Kolmogorov complexity is a measure of the amount of information in an object, defined as the length of the shortest computer program that can produce it.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.