A Three-Valued Approach to the Master Argument

Abstract

The Master Argument due to Diodorus Cronos claims that nothing is possible that neither is true nor will be true and that therefore every (present) possibility must be realized at a present or future time. Unfortunately, it leads to logical determinism. In this paper, based on Prior's insight, a three-valued approach to the Master Argument is presented by developing a three-valued modal tense logic with a Kripke semantics. We also discuss philosophical and logical issues in connection with other approaches.