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: Brouwerian continuity principle | Statement: [intuitionism, associatedWith, Brouwerian continuity principle]

Target entity: Brouwerian continuity principle
Context triple: [intuitionism, associatedWith, Brouwerian continuity principle]

• A. Brouwer–Heyting–Kolmogorov interpretation
  The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
• B. Brouwer’s intuitionism
  Brouwer’s intuitionism is a philosophy of mathematics that views mathematical objects as mental constructions and rejects classical logic principles like the law of excluded middle for infinite totalities.
• C. Recursive Functions and Intuitionistic Mathematics
  Recursive Functions and Intuitionistic Mathematics is a seminal work by Stephen Kleene that develops the theory of recursive (computable) functions within the framework of intuitionistic logic and mathematics.
• D. Brouwer fixed-point theorem
  The Brouwer fixed-point theorem is a fundamental result in topology stating that any continuous function from a compact convex set (such as a closed disk) to itself has at least one fixed point.
• E. Curry–Howard correspondence
  The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Brouwerian continuity principle
Target entity description: The Brouwerian continuity principle is a key axiom in intuitionistic mathematics asserting that every total function from the real numbers to the real numbers is continuous, reflecting L.E.J. Brouwer’s constructive view of analysis.

• A. Brouwer–Heyting–Kolmogorov interpretation
  The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
• B. Brouwer’s intuitionism
  Brouwer’s intuitionism is a philosophy of mathematics that views mathematical objects as mental constructions and rejects classical logic principles like the law of excluded middle for infinite totalities.
• C. Recursive Functions and Intuitionistic Mathematics
  Recursive Functions and Intuitionistic Mathematics is a seminal work by Stephen Kleene that develops the theory of recursive (computable) functions within the framework of intuitionistic logic and mathematics.
• D. Brouwer fixed-point theorem
  The Brouwer fixed-point theorem is a fundamental result in topology stating that any continuous function from a compact convex set (such as a closed disk) to itself has at least one fixed point.
• E. Curry–Howard correspondence
  The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
• F. None of above. chosen