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**Restrictions on the position of exh** **Keywords:** scalar implicature, exh, focus particles, also, presupposition, English The grammatical approach to scalar implicatures (SI) posits a covert operator *exh* whose semantic contribution is similar to that of an exhaustive focus particle such as only (Fox 2007, Chierchia et al. 2012, a.o.). While its proponents have argued for the availability of *exh* in embedded positions, constraints on its precise placement are not well understood. In this work, we argue that certain “triggers” of SI in English — unstressed *some*, disjunction, and bare numerals — require an associated *exh* to be as low as possible above the trigger. This requirement is however lexicalized, as we show that other triggers such as stressed *SOME* allow for more delayed exhaustification.
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