Abstract and Keywords
Over a century of scholarship on presupposition has worked towards reconciling two seemingly contrary properties of these types of inferences: the ability to project through embedding like negation, and the ability to be cancelled explicitly. Describing these properties has been key to not only diagnosing presuppositions, but also differentiating them from other types of inferences like implicatures and entailment and understanding how a theory of presupposition could apply cross-linguistically. This chapter outlines different accounts of presupposition and negation, focusing on six different broad approaches: scope ambiguity, trivalent ambiguity, underspecification, metalinguistic negation, cancellation, and accommodation. These accounts differ with respect to whether they account for default projection, the mechanisms through which projection is derived, and whether entailments and implicatures are targeted by the same negation operators as presuppositions.
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