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: intuitionistic logic | Statement: [Curry–Howard correspondence, appliesTo, intuitionistic logic]

Target entity: intuitionistic logic
Context triple: [Curry–Howard correspondence, appliesTo, intuitionistic logic]

• A. intuitionism
  Intuitionism is a philosophy of mathematics that views mathematical objects as mental constructions and rejects the unrestricted use of classical logic, especially the law of excluded middle.
• B. Brouwer–Heyting logic chosen
  Brouwer–Heyting logic is the standard formal system of intuitionistic logic, capturing constructive reasoning by rejecting the law of excluded middle and other non-constructive classical principles.
• C. “The Philosophical Basis of Intuitionistic Logic”
  “The Philosophical Basis of Intuitionistic Logic” is an influential essay by Michael Dummett that examines the philosophical motivations and implications of intuitionistic logic, particularly its connection to theories of meaning and truth.
• D. Heyting arithmetic
  Heyting arithmetic is a formal system of arithmetic based on intuitionistic logic, serving as the constructive counterpart to classical Peano arithmetic.
• E. 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.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.