In Erich Schweighofer (ed.), Proceedings of JURIX 2021: 34th International Conference on Legal Knowledge and Information Systems. IOS Press. pp. 171-180 (2021)

Authors
Matteo Pascucci
Slovak Academy of Sciences
Abstract
Normative positions are sometimes illustrated in diagrams, in particular in didactic contexts. Traditional examples are the Aristotelian polygons of opposition for deontic modalities (squares, triangles, hexagons, etc.), and the Hohfeldian squares for obligative and potestative concepts. Relying on previous work, we show that Hohfeld’s framework can be used as a basis for developing several Aristotelian polygons and more complex diagrams. Then, we illustrate how logical theories of increasing strength can be built based on these diagrams, and how those theories enable us to determine in a computably efficient way whether a set of normative positions can be derived from another set of normative positions.
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References found in this work BETA

The Traditional Square of Opposition.Terence Parsons - 2008 - Stanford Encyclopedia of Philosophy.
On the Formal Representation of Rights Relations.David Makinson - 1986 - Journal of Philosophical Logic 15 (4):403 - 425.

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