Negierenden

Negierenden is the present participle form of the German verb negieren, meaning to negate or deny. In usage it can function as an adjective or part of noun phrases to denote the act or process of negation. The related noun forms are Negierung and Negation.

In linguistics and grammar, negation is the grammatical category that expresses opposition to a proposition. The participle negierenden appears in attributive or predicative positions, for example in phrases like negierenden Aussagen (statements that negate) or einer negierenden Form der Frage (a negating form of the question). The ordinary noun for the process is Negierung or Negation; the participle form can serve to describe a specific negating element or operation in context.

In logic and computer science, negation is the operation that inverts the truth value of a proposition. Symbolically, the negation of P is written as ¬P or ~P. German terminology includes terms such as negierende Bedingung (a condition that negates another condition) and negierender Operator (negating operator) in formal expressions. Negation is fundamental to constructing truth tables, proofs, and conditional logic, as well as to programming constructs that require inversion of boolean predicates.

Etymology traces negieren to the Latin negare, meaning to deny. In everyday German, negierung and Verneinung are related terms used to describe the act of denying or stating the opposite of a proposition, statement, or claim.

See also: Negation, Verneinung, Negierung, Logik, Propositionallogik.