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  1. Semantic with Assignment Variables.Alex Silk - forthcoming - Cambridge: Cambridge University Press.
    This manuscript develops a framework for compositional semantics and begins illustrating its fruitfulness by applying it to a spectrum of core linguistic data, such as with quantifiers, attitude ascriptions, relative clauses, conditionals, and questions. A key innovation is to introduce variables for assignment functions into the syntax; semantic values are treated systematically in terms of sets of assignments, theoretically interpreted as representing possibilities. The framework provides an alternative to traditional “context- index”-style frameworks descending from Kamp/Kaplan/Lewis/Stalnaker. A principal feature of the (...)
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  • Weak and Strong Necessity Modals: On Linguistic Means of Expressing "A Primitive Concept OUGHT".Alex Silk - forthcoming - In Meaning, Decision, and Norms: Themes from the Work of Allan Gibbard.
    This paper develops an account of the meaning of `ought', and the distinction between weak necessity modals (`ought', `should') and strong necessity modals (`must', `have to'). I argue that there is nothing specially ``strong'' about strong necessity modals per se: uses of `Must p' predicate the (deontic/epistemic/etc.) necessity of the prejacent p of the actual world (evaluation world). The apparent ``weakness'' of weak necessity modals derives from their bracketing whether the necessity of the prejacent is verified in the actual world. (...)
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