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  1. Deontological Square, Hexagon, and Decagon: A Deontic Framework for Supererogation.Jan C. Joerden - 2012 - Logica Universalis 6 (1):201-216.
    The article expands the traditional system of concepts used in deontic logic, in order to allow the inclusion of supererogatory behaviour. This requires the development of a deontic decagon. In addition, it is shown how this decagon can be used to interpret deontic terms, e.g. in Islamic Law.
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  • The geometry of standard deontic logic.Alessio Moretti - 2009 - Logica Universalis 3 (1):19-57.
    Whereas geometrical oppositions (logical squares and hexagons) have been so far investigated in many fields of modal logic (both abstract and applied), the oppositional geometrical side of “deontic logic” (the logic of “obligatory”, “forbidden”, “permitted”, . . .) has rather been neglected. Besides the classical “deontic square” (the deontic counterpart of Aristotle’s “logical square”), some interesting attempts have nevertheless been made to deepen the geometrical investigation of the deontic oppositions: Kalinowski (La logique des normes, PUF, Paris, 1972) has proposed a (...)
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