I propose a new theory of vagueness. It differs from previous theories in two main respects. First, it treats vagueness as a global rather than local phenomenon, i.e. vagueness always relates to a number of cases rather than a single case. Second, it treats vagueness as a logical rather than a material matter, i.e. vagueness can be expressed by logical means alone without the help of additional vagueness-theoretic primitives. I shall criticize alternative views, develop a logic and semantics for my own view, and explain how it deals with the sorites.
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