Topoi 34 (1):7-14 (2015)
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Logical orthodoxy has it that classical first-order logic, or some extension thereof, provides the right extension of the logical consequence relation. However, together with naïve but intuitive principles about semantic notions such as truth, denotation, satisfaction, and possibly validity and other naïve logical properties, classical logic quickly leads to inconsistency, and indeed triviality. At least since the publication of Kripke’s Outline of a theory of truth , an increasingly popular diagnosis has been to restore consistency, or at least non-triviality, by restricting some classical rules. Our modest aim in this note is to briefly introduce the main strands of the current debate on paradox and logical revision, and point to some of the potential challenges revisionary approaches might face, with reference to the nine contributions to the present volume.For a recent introduction to non-classical theories of truth and other semantic notions, see the excellent Beall a ..
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DOI | 10.1007/s11245-014-9286-z |
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The Very Idea of a Substructural Approach to Paradox.Lionel Shapiro - 2016 - Synthese 199 (Suppl 3):767-786.
Two Fallacies in Proofs of the Liar Paradox.Peter Eldridge-Smith - 2020 - Philosophia 48 (3):947-966.
Classicality Lost: K3 and LP After the Fall.Matthias Jenny - 2017 - Thought: A Journal of Philosophy 6 (1):43-53.
A Note on Gödel, Priest and Naïve Proof.Massimiliano Carrara - forthcoming - Logic and Logical Philosophy:1.
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