On Horn's dilemma: presupposition and negation

Abstract

It is an unquestioned assumption of all recent discussions of semantic presupposition that a presuppositional semantics admitting of truth-value gaps depends upon and therefore implies a semantic ambiguity of natural language negation (SAN). Such theories have been criticized and defended on that basis. This essay invites the reader to contemplate the idea that this picture of things is fundamentally mistaken.