Negation is a sine qua non of every human language but is absent from otherwise complex systems of animal communication. In many ways, it is negation that makes us human, imbuing us with the capacity to deny, to contradict, to misrepresent, to lie, and to convey irony. The apparent simplicity of logical negation as a one-place operator that toggles truth and falsity belies the intricate complexity of the expression of negation in natural language. Not only do we find negative adverbs, verbs, copulas, quantifiers, and affixes, but the interaction of negation with other operators (including multiple iterations of negation itself) can be exceedingly complex to describe, extending (as first detailed by Otto Jespersen) to negative concord, negative incorporation, and the widespread occurrence of negative polarity items whose distribution is subject to principles of syntax, semantics, and pragmatics.
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