In this dissertation I argue that truth-conditional semantics for vague predicates, combined with a Bayesian account of statistical inference incorporating knowledge of truth-conditions of utterances, generates false predictions regarding negations and metalinguistic inference. I thus propose a fundamentally probabilistic semantics for vagueness…

Scope ambiguity arises when a sentence contains scope-bearing logical operators like quantifiers and negation (Fox, 2003). For instance, in English, the sentence 'Every horse didn't jump over the fence' can be interpreted as either 'None of the horses jumped over the fence' (surface scope) or 'Not all of the horses jumped over the fence' (inverse…