Synthese 198 (4):3047-3071 (2019)

Authors
Alison Duncan Kerr
University of St. Andrews
Abstract
There is a strong case to be made for thinking that an obscure logic, KR, is better than classical logic and better than any relevant logic. The argument for KR over relevant logics is that KR counts disjunctive syllogism valid, and this is the biggest complaint about relevant logics. The argument for KR over classical logic depends on the normativity of logic and the paradoxes of implication. The paradoxes of implication are taken by relevant logicians to justify relevant logic, but considerations on the normativity of logic show that only some of the paradoxes of implication are genuine. KR avoids all the genuine paradoxes of implication, unlike classical logic. Overall, KR avoids the genuine paradoxes of implication and avoids the major objection to relevant logics. This combination of features provides strong reason to give KR a place in the conversation about the right logic.
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DOI 10.1007/s11229-019-02265-y
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References found in this work BETA

Spandrels of Truth.J. C. Beall - 2009 - Oxford, England: Oxford University Press.
The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
Logical Pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
Truth Without Contra(di)Ction.Elia Zardini - 2011 - Review of Symbolic Logic 4 (4):498-535.

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