ON THE COMPLETENESS OF NON-PHILONIAN STOIC LOGIC

The majority of formal accounts attribute to Stoic logicians the class ical truth-functional understanding of the material conditional and ex clusive disjunction. These interpretations were disputed, some Stoic l ogicians favouring modal and/or temporal analyses; moreover, what come s down to us of Stoic logic fails to secure the classical interpretati ons on purely formal grounds. It is therefore of some interest to see how the non-classical interpretations fare. I argue that the strongest logic we have good grounds to attribute to Stoic logicians is not com plete with respect to the non-classical interpretations of disjunction and the conditional.