Nonsense + Unintelligibility = How to Understand Vagueness ---------------------------------------------------------- "Ramsey said that a statement of the form 'p is 1/3 true' would be 'sheer nonsense'. The aim of this paper is to dispute that view, and thereby to establish the coherence of the notion of degrees of truth." So wrote R.M. Sainsbury in 1986. Yet, despite his and others' efforts, the doctrine that truth comes in degrees remains a fringe position. Also in 1986, David Lewis wrote, "The only intelligible account of vagueness locates it in our thought and language." In this paper, I want to argue for the combination of these two allegedly unintelligible and nonsensical views: truth comes in degrees, and the best account of vagueness locates it in the world itself (not merely in our thought and language about the world). The two views come together in a picture in which fuzzy logic takes a central place: the best account of vagueness employs fuzzy logic, and this use of fuzzy logic involves commitment both to the view that truth comes in degrees and to the view that there is vagueness in the world.