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: continuum hypothesis | Statement: [Hilbert problems, notableProblem, continuum hypothesis]

Target entity: continuum hypothesis
Context triple: [Hilbert problems, notableProblem, continuum hypothesis]

• A. continuum hypothesis chosen
  The continuum hypothesis is a central conjecture in set theory proposing a specific relationship between the sizes of the set of real numbers and the set of natural numbers, famously shown to be independent of the standard axioms of mathematics.
• B. constructible universe
  The constructible universe is a class model of set theory introduced by Kurt Gödel that systematically builds sets in hierarchical stages and shows the relative consistency of the axiom of choice and the generalized continuum hypothesis with ZF.
• C. Cantor’s theorem
  Cantor’s theorem is a fundamental result in set theory stating that the power set of any set has a strictly greater cardinality than the set itself, implying there is no largest infinity.
• D. Cantor’s paradox
  Cantor’s paradox is a foundational result in set theory showing that the “set of all sets” cannot exist because its power set would have a strictly larger cardinality, leading to a contradiction.
• E. Zermelo–Fraenkel set theory
  Zermelo–Fraenkel set theory is the standard axiomatic framework for modern set theory, designed to avoid paradoxes and provide a rigorous foundation for much of mathematics.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: notableProblem
Context triple: [Hilbert problems, notableProblem, continuum hypothesis]

• A. hasNotableIssue chosen
  Indicates that an entity is associated with a significant problem, concern, or defect that is noteworthy or exceptional compared to typical cases.
• B. notableReport
  Indicates that an entity has produced, authored, or is otherwise associated with a report that is considered notable or significant.
• C. knownIssue
  Indicates that the subject has an issue or problem that is already identified, recognized, or documented.
• D. notableResolution
  Indicates that an entity is distinguished or recognized for having a particularly important, impactful, or well-known resolution or decision.
• E. notableProposition
  Indicates that a subject is associated with a proposition, statement, or claim that is considered notable or significant in some context.
• F. None of above.