Shape Heuristics in Aristotelian Diagrams
نویسندگان
چکیده
Aristotelian diagrams have a long and rich history in philosophical logic. Today, they are widely used in nearly all disciplines dealing with logical reasoning. Logical geometry is concerned with the theoretical study of these diagrams, from both a logical and a visual/geometrical perspective. In this paper, we argue that the concrete shape of Aristotelian diagrams can be of great heuristic value in logical geometry. A diagram’s shape can be used to visually represent certain logical properties and relations, and hence, through its shape, the diagram can help us to better understand these properties and relations and reason about them. These claims are explained and illustrated by means of a series of examples, consisting mainly of (i) Aristotelian diagrams that represent an entire Boolean algebra of formulas, and (ii) complementarities between Aristotelian diagrams.
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