This book proposes a new solution to the problem of vagueness. There are several different ways of addressing this problem and no clear agreement on which one is correct. The author proposes that it should be understood as the problem of explaining vague predicates in a way that systematizes six intuitions about the phenomenon and satisfies three criteria of adequacy for an ideal theory of vagueness.

The third criterion, which is called the “criterion of precisification”, is the most controversial one. It is based on the intuition that a predicate is vague only if it is...