 Presuppositional inferences are typically subject to cancellation by direct denial only when the presupposition trigger is embedded under some other operator. When the presupposition is not embedded, such cancellation (by the same speaker) is usually infelicitous, just as is cancellation of entailed content which is not embedded. Thus the denial of a presupposition in (9) and the denial of an ordinary entailment in (10) both lead to pragmatically infelicitous utterances (marked by a “#”).