Logical pluralism and normativity

Inquiry: An Interdisciplinary Journal of Philosophy 63 (3-4):389-410 (2020)
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Abstract

We are logical pluralists who hold that the right logic is dependent on the domain of investigation; different logics for different mathematical theories. The purpose of this article is to explore the ramifications for our pluralism concerning normativity. Is there any normative role for logic, once we give up its universality? We discuss Florian Steingerger’s “Frege and Carnap on the Normativity of Logic” as a source for possible types of normativity, and then turn to our own proposal, which postulates that various logics are constitutive for thought within particular practices, but none are constitutive for thought as such.

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original Kissel, Teresa Kouri; Shapiro, Stewart (2017) "Logical pluralism and normativity". Inquiry: An Interdisciplinary Journal of Philosophy ():1-22

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Author Profiles

Stewart Shapiro
Ohio State University
Teresa Kouri Kissel
Old Dominion University

References found in this work

Truth and objectivity.Crispin Wright - 1992 - Cambridge: Harvard University Press.
Modal Logic as Metaphysics.Timothy Williamson - 2013 - Oxford, England: Oxford University Press.
Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.

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