Aristotle on Bivalence and Truth-value Distribution

Abstract

The passage 18a34-⁠b5 of Aristotle’s famous sea-battle chapter has often been misunderstood. My aim is to show, firstly, that Aristotle in this passage attempts to prove that the unrestricted validity of the Principle of Bivalence entails, in the case of singular statements, the validity of the Principle of Truth-value Distribution for the contradictory pairs they are members of. According to the latter principle either the affirmative member of a contradictory pair of statements must be true and the negative false or vice versa. Secondly, I want to show what consequences the correct understanding of the passage in question has for the understanding of the introductory passage of the chapter (18a28-⁠33) and for the dispute over whether Aristotle exempts singular statements about contingent future events from the domain of the Principle of Bivalence. The thesis, advanced by some modern interpreters, that Aristotle refrains from doing so even though he exempts the contradictory pairs such statements are members of from the domain of the Principle of Truth-value Distribution will be rebutted as resulting from a fallacious line of reasoning.