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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.
The paper investigates the interaction of focus and adverbial quantification in Hausa, a Chadic tone language spoken in West Africa. The discussion focuses on similarities and differences between intonation and tone languages concerning the way in which adverbial quantifiers (AQs) and focus particles (FPs) associate with focus constituents. It is shown that the association of AQs with focused elements does not differ fundamentally in intonation and tone languages such as Hausa, despite the fact that focus marking in Hausa works quite differently. This may hint at the existence of a universal mechanism behind the interpretation of adverbial quantifiers across languages. From a theoretical perspective, the Hausa data can be taken as evidence in favour of pragmatic approaches to the focus-sensitivity of AQs, such as e.g. Beaver & Clark (2003).