Unruly Words: A Study of Vague LanguageVague words, like tall, rich, and old, lack clear boundaries of application: no clear line divides the tall people from the above average, or the old people from the middle aged. Because they lack clear boundaries, these ordinary words cause logical and semantic problems in various disciplines including philosophy, decision theory, and the law. Philosophers and linguists have proposed several theories of vagueness to handle these difficulties, but