This paper deals with the truth-Conditions and the logic for vague languages. The use of supervaluations and of classical logic is defended; and other approaches are criticized. The truth-Conditions are extended to a language that contains a definitely-Operator and that is subject to higher order vagueness.

E. J. Lowe; The problem of the many and the vagueness of constitution, Analysis, Volume 55, Issue 3, 1 July 1995, Pages 179–182, https://doi.org/10.1093/analys/.