Contextual logic and aristotle's syllogistic

Authors:
Rudolf Wille
Affiliations:
Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt
Venue:
ICCS'05 Proceedings of the 13th international conference on Conceptual Structures: common Semantics for Sharing Knowledge
Year:
2005

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Abstract

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.