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  1. Paraconsistent Belief Revision: An Algebraic Investigation.Massimiliano Carrara, Davide Fazio & Michele Pra Baldi - forthcoming - Erkenntnis:1-29.
    This paper offers a logico-algebraic investigation of AGM belief revision based on the logic of paradox ). First, we define a concrete belief revision operator for \, proving that it satisfies a generalised version of the traditional AGM postulates. Moreover, we investigate to what extent the Levi and Harper identities, in their classical formulation, can be applied to a paraconsistent account of revision. We show that a generalised Levi-type identity still yields paraconsistent-based revisions that are fully compatible with the AGM (...)
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  • Avicenna on Syllogisms Composed of Opposite Premises.Behnam Zolghadr - 2021 - In Mathematics, Logic, and their Philosophies. pp. 433-442.
    This article is about Avicenna’s account of syllogisms comprising opposite premises. We examine the applications and the truth conditions of these syllogisms. Finally, we discuss the relation between these syllogisms and the principle of non-contradiction.
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  • Algebraic Properties of Paraorthomodular Posets.Ivan Chajda, Davide Fazio, Helmut Länger, Antonio Ledda & Jan Paseka - forthcoming - Logic Journal of the IGPL.
    Paraorthomodular posets are bounded partially ordered sets with an antitone involution induced by quantum structures arising from the logico-algebraic approach to quantum mechanics. The aim of the present work is starting a systematic inquiry into paraorthomodular posets theory both from algebraic and order-theoretic perspectives. On the one hand, we show that paraorthomodular posets are amenable of an algebraic treatment by means of a smooth representation in terms of bounded directoids with antitone involution. On the other, we investigate their order-theoretical features (...)
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