Lenny Clapp

Strawson :96–118, 1964) argued that definite NPs trigger presuppositions as an aspect of their conventional meanings, and this semantic conception of presupposition triggers is incorporated into the binding theory of presuppositions. The phenomenon of presupposition denials, however, presents a problem for the semantic conception of presupposition triggers, for in such denials the alleged semantic presuppositions seem to be “cancelled” by a negation operator. Geurts :274–307, 1998; Presupposition and pronouns, 1999) attempts to solve this problem by utilizing the binding theory’s allowance for local accommodation. Geurts’ proposal, however, is inadequate, primarily because Geurts formulates the binding theory within discourse representation theory, which makes no allowance for the illocutionary force of denial. Asher and Lascarides’ segmented discourse representation theory, however, has the resources to account for the illocutionary force of denial. Utilizing a version of SDRT I demonstrate that the “cancelling” of a presupposition by echoic negation in presupposition denials crucially depends upon the denial of information that is pragmatically communicated by accommodation

Truth conditional semantics is the project of ‘determining a way of assigning truth conditions to sentences based on A) the extension of their constituents and B) their syntactic mode of combination’. This research program has been subject to objections that take the form of underdetermination arguments, an influential instance of which is presented by Travis: … consider the words ‘The leaf is green,’ speaking of a given leaf, and its condition at a given time, used so as to mean what they do mean in English. How many distinct things might be said in words with all that true of them? Many.… Suppose a Japanese maple leaf, turned brown, was painted green for a decoration. In sorting leaves by colour, one might truly call this one green. In describing leaves to help identify their species, it might, for all the paint, be false to call it that.

The problem of negative existentials arises because utterances of such sentences have the paradoxical feature of denying what they presuppose, thus undermining their own truth. There are only two general strategies for solving the problem within the constraints traditional static semantics, and both strategies attempt to explain away this paradoxical feature. I argue that both strategies are fundamentally flawed, and that an adequate account of negative existentials must countenance, and not explain away, this paradoxical feature. Moreover, I argue that a framework of dynamic semantics can achieve this result. Thus negative existentials provide a case in support of dynamic semantics.