Contextual Logic and Aristotle’s Syllogistic

This paper is concerned with incorporating negational relationships into the semantics of Contextual Logic by mathematizing Aristotle’s Syllogistic in contextual-logic terms. For preparing this, a short sketch of Aristotle’s Syllogistic is presented. Then it is shown how a contextual semantics for Aristotle’s syllogisms can be developed on the basis of so-called syllogistic contexts. This semantic approach is used to determine implication bases for elementary judgments within syllogistic contexts. Finally, directions of further research are mentioned.