An implicational scale is a set of lexical items that are
Any sentence including one item of the set entails all of the propositions expressed by similar sentences containing less informative items. In addition, in keeping with the quantity maxim, the use of an item in the scale creates scalar implicatures that disallow the propositions expressed by similar sentences that contain more informative items.
(English)
Levinson, Stephen C. 1983.Pragmatics. Cambridge, England: Cambridge University.
Horn, Laurence. 1972.On the semantic properties of the logical operators in English. Bloomington, IN: Indiana University Linguistics Club.