An Intuitionistic Reformulation of Mally's Deontic Logic

Journal of Philosophical Logic 42 (4):635-641 (2013)
Abstract
In 1926, Ernst Mally proposed a number of deontic postulates. He added them as axioms to classical propositional logic. The resulting system was unsatisfactory because it had the consequence that A is the case if and only if it is obligatory that A. We present an intuitionistic reformulation of Mally’s deontic logic. We show that this system does not provide the just-mentioned objectionable theorem while most of the theorems that Mally considered acceptable are still derivable. The resulting system is unacceptable as a deontic logic, but it does make sense as a lax logic in the modern sense of the word
Keywords Deontic logic  Intuitionistic logic  Lax logic
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    References found in this work BETA
    Dagfinn Føllesdal & Risto Hipinen (1981). Deontic Logic. In Risto Hilpinen (ed.), Deontic Logic: Introductory and Systematic Readings. Sold and Distributed in the U.S.A. And Canada by Kluwer Boston. 4--159.
    Gert-Jan Lokhorst, Mally's Deontic Logic. Stanford Encyclopedia of Philosophy.
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    Similar books and articles
    G.-J. C. Lokhorst & L. Goble (2004). Mally's Deontic Logic. Grazer Philosophische Studien 67 (1):37-57.
    Gert-Jan Lokhorst, Mally's Deontic Logic. Stanford Encyclopedia of Philosophy.
    Gert-Jan C. Lokhorst (1999). Ernst Mally's Deontik (1926). Notre Dame Journal of Formal Logic 40 (2):273-282.
    Jaakko Hintikka (1981). Some Main Problems of Deontic Logic. In Risto Hilpinen (ed.), Deontic Logic: Introductory and Systematic Readings. Sold and Distributed in the U.S.A. And Canada by Kluwer Boston. 59-104.
    Leon Gumański (1980). On Deontic Logic. Studia Logica 39 (1):63 - 75.
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