Abstract

Horn (1989) identified a number of irregular or marked negations that are not used in accordance with the standard rule of propositional logic. He concluded that negation was pragmatically ambiguous. Van der Sandt (1991) disputed Horn’s ambiguity claim, and proposed a uniform semantics for all negations. I will provide an informal explanation of van der Sandt’s theory, and develop a number of objections. I show that irregular negations are not anaphoric, as Van der Sandt believes, but compositional. I argue for Geurts’s (1998) view that there are several different rules for irregular negations. I reject the implicature theory in favor of the semantic ambiguity thesis.