Non-Normative Logical Pluralism and the Revenge of the Normativity Objection
Philosophical Quarterly 70 (278):162–177 (2020)
Abstract
Logical pluralism is the view that there is more than one correct logic. Most logical pluralists think that logic is normative in the sense that you make a mistake if you accept the premisses of a valid argument but reject its conclusion. Some authors have argued that this combination is self-undermining: Suppose that L1 and L2 are correct logics that coincide except for the argument from Γ to φ, which is valid in L1 but invalid in L2. If you accept all sentences in Γ, then, by normativity, you make a mistake if you reject φ. In order to avoid mistakes, you should accept φ or suspend judgment about φ. Both options are problematic for pluralism. Can pluralists avoid this worry by rejecting the normativity of logic? I argue that they cannot. All else being equal, the argument goes through even if logic is not normative.Author's Profile
DOI
10.1093/pq/pqz040
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Citations of this work
Reasons, basing, and the normative collapse of logical pluralism.Christopher Blake-Turner - 2021 - Philosophical Studies 178 (12):4099-4118.
Disagreement about logic from a pluralist perspective.Erik Stei - 2020 - Philosophical Studies 177 (11):3329-3350.
The collapse of logical contextualism.Timo Meier - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
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Logical pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.