The simple argument for subclassical logic

Philosophical Issues 28 (1):30-54 (2018)
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Abstract

This paper presents a simple but, by my lights, effective argument for a subclassical account of logic—an account according to which logical consequence is (properly) weaker than the standard, so‐called classical account. Alas, the vast bulk of the paper is setup. Because of the many conflicting uses of ‘logic’ the paper begins, following a disclaimer on logic and inference, by fixing the sense of ‘logic’ in question, and then proceeds to rehearse both the target subclassical account of logic and its well‐known relative (viz., classical logic). With background in place the simple argument—which takes up less than five pages—is advanced. My hope is that the minimal presentation will help to get ‘the simple argument’ plainly on the table, and that subsequent debate can move us forward.

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Jc Beall
University of Notre Dame

Citations of this work

Limits of Abductivism About Logic.Ulf Hlobil - 2020 - Philosophy and Phenomenological Research 103 (2):320-340.
Deep Fried Logic.Shay Allen Logan - 2020 - Erkenntnis 87 (1):257-286.
Consistent Theories in Inconsistent Logics.Franci Mangraviti & Andrew Tedder - 2023 - Journal of Philosophical Logic 52 (04):1133-1148.

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References found in this work

Relevant Logics and Their Rivals.Richard Routley, Val Plumwood, Robert K. Meyer & Ross T. Brady - 1982 - Ridgeview. Edited by Richard Sylvan & Ross Brady.
The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
Change in View: Principles of Reasoning.Gilbert Harman - 1986 - Studia Logica 48 (2):260-261.
Doubt Truth to Be a Liar.Graham Priest - 2007 - Studia Logica 87 (1):129-134.

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