We derive a probabilistic account of the vagueness and context-sensitivity of scalar adjectives from a Bayesian approach to communication and interpretation. We describe an iterated-reasoning architecture for pragmatic interpretation and illustrate it with a simple scalar implicature example. We then show how to enrich the apparatus to handle pragmatic reasoning about the values of free variables, explore its predictions about the interpretation of scalar adjectives, and show how this model implements Edgington's (Analysis 2:193-204,1992, Keefe and Smith (eds.) Vagueness: a reader, 1997) account of the sorites paradox, with variations. The Bayesian approach has a number of explanatory virtues: in particular, it does not require any special-purpose machinery for handling vagueness, and it is integrated with a promising new approach to pragmatics and other areas of cognitive science. Edgington (1992Edgington ( , 1997 proposes an attractive unified approach to the Sorites, Lottery, and Preface paradoxes. According to Edgington, these puzzles are all explained by a generalization of classical logic which has the formal structure of the probability calculus, with an accompanying generalized notion of valid reasoning. She gives a number of strong arguments to the effect that a degree-based theory of vagueness with the formal structure of probabilities is preferable to one with the structure of classical fuzzy logic. However, she explicitly disavows the idea that the degrees involved in B Daniel Lassiter