 The term ‘truth degrees’, used by Gottwald and many other authors, suggests that truth comes by degrees, and these degrees may be seen as truth values in an extended sense. The idea of truth as a graded notion has been applied to model vague predicates and to obtain a solution to the Sorites Paradox, the Paradox of the Heap (see the entry on the  Sorites Paradox).  However, the success of applying many-valued logic to the problem of vagueness is highly controversial. Timothy Williamson (1994: 97), for example, holds that the phenomenon of higher-order vagueness “makes most work on many-valued logic irrelevant to the problem of vagueness”.