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Multiple modals construction
(2006)
Modal items of different semantic types can only be combined in a specific order. Epistemic items, for instance, cannot be embedded under deontic ones. I'll argue that this fact cannot be explained by the current semantic theories of modality. A solution to this problem will be developed in an update semantics framework. On the semantic side, a distinction will be drawn between circumstantial information about the world and information about duties, whereas I'll use Nuyts' notion of m-performativity to account for certain use of the modal items.
Kripke's "modal argument" uses consideration about scope within modal contexts to show that proper names and definite descriptions must be of two different semantic types. I reexamine the data that is used to motivate Kripke's argument, and suggest that it, in fact, indicates that proper names behave exactly like a certain type of definite description, which I call "particularized" descriptions.
The expressions few and a few are typically considered to be separate quantifiers. I challenge this assumption, showing that with the appropriate definition of few, a few can be derived compositionally as a + few. The core of the analysis is a proposal that few has a denotation as a one-place predicate which incorporates a negation operator. From this, argument interpretations can be derived for expressions such as few students and a few students, differing only in the scope of negation. I show that this approach adequately captures the interpretive differences between few and a few. I further show that other such pairs are blocked by a constraint against the vacuous application of a.
We propose a compositional analysis for sentences of the kind "You only have to go to the North End to get good cheese", referred to as the Sufficiency Modal Construction in the recent literature. We argue that the SMC is ambiguous depending on the kind of ordering induced by only. So is the exceptive construction – its cross-linguistic counterpart. Only is treated as inducing either a 'comparative possibility' scale or an 'implication-based' partial order on propositions. The properties of the 'comparative possibility' scale explain the absence of the prejacent presupposition that is usually associated with only. By integrating the scalarity into the semantics of the SMC, we explain the polarity facts observed in both variants of the construction. The sufficiency meaning component is argued to be due to a pragmatic inference.