This paper deals with the truth-Conditions and the logic for vague languages. The use of supervaluations and of classical logic is defended; and other approaches are criticized. The truth-Conditions are extended to a language that contains a definitely-Operator and that is subject to higher order vagueness.

There seem to be topics on which people can disagree without fault. For example, you and I might disagree on whether Picasso was a better artist than Matisse, without either of us being at fault. Is this a genuine possibility or just apparent? In this paper I pursue two aims: I want to provide a systematic map of available responses to this question. Simultaneously, I want to assess these responses. I start by introducing and defining the notion of a faultless (...) disagreement. Then I present a simple argument to the conclusion that faultless disagreement is not possible. Those who accept the argument have to explain away apparent cases of faultless disagreement. Those who want to maintain the possibility of faultless disagreement must deny one of the argument's premisses. The position I want to promote belongs to the latter category and is a form of genuine relativism. (shrink)

According to one account, vagueness is "metaphysical." The friend of metaphysical vagueness believes that, for some object and some property, there can be no determinate fact of the matter whether that object exemplifies that property. A second account maintains that vagueness is due only to ignorance. According to the epistemic account, vagueness is explained completely by and is nothing over and above our not knowing some relevant fact or facts. These are the minority views. The dominant position maintains that there (...) is a third possible variety of vagueness, linguistic vagueness. And, it goes on to insist, all vagueness is of this third variety. I shall argue, however, that linguistic vagueness is not a third variety of vagueness. Either it is a species of metaphysical vagueness or a kind of ignorance. And this, I argue, makes trouble for the claim that all vagueness is linguistic. (shrink)