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: De Morgan's laws for propositions | Statement: [De Morgan's laws, generalizationOf, De Morgan's laws for propositions]

Target entity: De Morgan's laws for propositions
Context triple: [De Morgan's laws, generalizationOf, De Morgan's laws for propositions]

• A. De Morgan's laws chosen
  De Morgan's laws are fundamental rules in Boolean algebra and set theory that relate conjunctions and disjunctions through negation, forming a cornerstone of classical logic.
• B. Boolean algebra
  Boolean algebra is a branch of algebraic logic that studies variables and operations based on two values, typically true and false, forming the mathematical foundation of digital circuits and classical logic.
• C. law of excluded middle
  The law of excluded middle is a classical logical principle stating that every proposition is either true or false, with no third option, and is central to debates between classical and intuitionistic logic.
• D. Herbrand disjunction
  Herbrand disjunction is a logical formula formed as a finite disjunction of ground instances of a first-order formula, central to Herbrand’s theorem in proof theory and automated reasoning.
• E. Bochvar three-valued logic
  Bochvar three-valued logic is a paraconsistent logical system that introduces a third truth value to handle semantic paradoxes and meaningless statements by preventing them from yielding classical logical consequences.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.