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THE SIMPLE ARGUMENT FOR SUBCLASSICAL LOGIC
Author(s) -
Beall Jc
Publication year - 2018
Publication title -
philosophical issues
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.638
H-Index - 18
eISSN - 1758-2237
pISSN - 1533-6077
DOI - 10.1111/phis.12133
Subject(s) - argument (complex analysis) , simple (philosophy) , disclaimer , computer science , inference , classical logic , epistemology , calculus (dental) , philosophy , programming language , law , medicine , biochemistry , chemistry , dentistry , political science
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.