On the Cognitive Potential of Derivative Meaning in Aristotelian Diagrams.

In this paper we investigate the cognitive potential of Derivative Meaning—defined in terms of Abstraction Tracking (Shimojima 2015)—in order to characterise various families of Aristotelian diagrams. In a first part we consider the notion of subdiagrams—i.e. uniform triangles of contrariety relations and implication relations—inside Aristotelian hexagons and octagons. In a second part we look at different strategies for embedding complete Aristotelian diagrams—i.e. classical and degenerate squares—into Aristotelian hexagons and octagons.