ABSTRACT
This chapter presents some facts about Eubulides of the Megarian school who was a contemporary of Plato. It discusses some proposed solutions to them and also presents the author's own solution. Fuzzy logic claims to solve the problem of the sorites paradoxes by denying that classical logic is valid when vague words occur in the arguments. Fuzzy logic does indeed make more subtle semantic distinctions than the standard metatheory of classical logic. The theory of supervaluations has been proposed by several different authors in order to solve problems about vagueness, for instance by Kit Fine, J. A. W. Kamp and M. Przelecki. Fine accepts classical logic but not classical metalogic which contains Bivalence. Unger and Wheeler present radical solutions to the sorites. S. C. Wheeler considers that Saul Kripke, Hilary Putnam and K. Donnellan hold causal theories of reference. The conclusion of his argument would be that vague predicates like "tall person" are true of nothing.
