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Free Semantics

Journal of Philosophical Logic 39 (5):511 - 529 (2010)

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  1. Ultralogic as Universal?: The Sylvan Jungle - Volume 4.Richard Routley - 2019 - Cham, Switzerland: Springer Verlag.
    Ultralogic as Universal? is a seminal text in non-classcial logic. Richard Routley presents a hugely ambitious program: to use an 'ultramodal' logic as a universal key, which opens, if rightly operated, all locks. It provides a canon for reasoning in every situation, including illogical, inconsistent and paradoxical ones, realized or not, possible or not. A universal logic, Routley argues, enables us to go where no other logic—especially not classical logic—can. Routley provides an expansive and singular vision of how a universal (...)
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  • Translations Between Gentzen–Prawitz and Jaśkowski–Fitch Natural Deduction Proofs.Shawn Standefer - 2019 - Studia Logica 107 (6):1103-1134.
    Two common forms of natural deduction proof systems are found in the Gentzen–Prawitz and Jaśkowski–Fitch systems. In this paper, I provide translations between proofs in these systems, pointing out the ways in which the translations highlight the structural rules implicit in the systems. These translations work for classical, intuitionistic, and minimal logic. I then provide translations for classical S4 proofs.
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  • Translations between linear and tree natural deduction systems for relevant logics.Shawn Standefer - 2021 - Review of Symbolic Logic 14 (2):285 - 306.
    Anderson and Belnap presented indexed Fitch-style natural deduction systems for the relevant logics R, E, and T. This work was extended by Brady to cover a range of relevant logics. In this paper I present indexed tree natural deduction systems for the Anderson–Belnap–Brady systems and show how to translate proofs in one format into proofs in the other, which establishes the adequacy of the tree systems.
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  • Recent Work in Relevant Logic.Mark Jago - 2013 - Analysis 73 (3):526-541.
    This paper surveys important work done in relevant logic in the past 10 years.
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  • Four basic logical issues.Ross Brady & Penelope Rush - 2009 - Review of Symbolic Logic 2 (3):488-508.
    Four Basic Logical Issues: The paper addresses what we see as the four major issues in logic. The overriding issue is that of the choice of logic. We start with some discussion of the preliminary issue of whether there is such a 'one true logic,' but we reserve the main discussion for the first issue of 'classical logic versus nonclassical logic.' Here, we discuss the role of meaning and truth, the relation between classical logic and classical negation, and whether and, (...)
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  • Preface.Matteo Pascucci & Adam Tamas Tuboly - 2019 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 26 (3):318-322.
    Special issue: "Reflecting on the Legacy of C.I. Lewis: Contemporary and Historical Perspectives on Modal Logic".
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  • Some Concerns Regarding Ternary-relation Semantics and Truth-theoretic Semantics in General.Ross T. Brady - 2017 - IfCoLog Journal of Logics and Their Applications 4 (3):755--781.
    This paper deals with a collection of concerns that, over a period of time, led the author away from the Routley–Meyer semantics, and towards proof- theoretic approaches to relevant logics, and indeed to the weak relevant logic MC of meaning containment.
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