The chapter explains and defends a dialetheic account of vagueness and its solution to the Sorites Paradox. According to this, statements in the middle of a Sorites progression are both true and false. After an explanation of an appropriate paraconsistent logic, detailed models of Sorites transitions are provided. Crucial to any supposed solution to the Sorites Paradox is how it handles the matter of cut-offs. Much of the chapter concerns how a dialetheic solution handles this.