Quantity implicatures

Horn scalesA Horn scale is a sequence of expressions ordered accordingto strength:〈some, many, most, all〉〈clever, brilliant〉〈warm, hot, scalding〉. . .Scales are used to generate, by means of simplesubstitution, alternative sentences the speaker could haveuttered:Let φ(α) be a sentence, where α is an expression in φ.Then φ(β) is the same sentence, except that α is replacedwith β.φ(β) is an alternative to φ(α) iff β occurs to the right of αon some Horn scale.Quantity implicatures