Relevant Interpretation of Stoic Logic

Abstract

This article is going to study the relevant interpretation of stoic logic. Regarding this, first of all two main views with regard to the conditional propositions in stoic logic are examined. According to the first view which is emphasized by Becker and Egli the conditional proposition used in syntactic system of stoic logic is Philonic while based on the second view which is presented by some people such as Stopper, Nasieniewski, and Barnes this conditional proposition is the relevant conditional proposition. The first view has confronted important challenges including the paradoxes of material requirement of which the Stoics are aware and were working to fix them in their logical system. But the second view not only does not have the paradoxes of material requirements but also resolves the paradoxes of strict requirements. Therefore, in the second part of the article, according to Nasieniewski, the relevant formulation of conditional part of stoic logic is presented, and finally based on the left stoic sources, we are going to study the problems of such an interpretation

Keywords

• stoic logic
• Philonic conditional proposition
• relevant conditional proposition
• logic of relevance