Dialectical Dispositions and Logic

In Igor Sedlár, Logica Yearbook 2023 (forthcoming)
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Abstract

According to dialectical disposition expressivism about conjunction, disjunction, and negation, the function of these connectives is to convey dispositions speakers have with respect to challenging and meeting challenges to assertions. This paper investigates the view’s implications for logic. An interpretation in terms of dialectical dispositions is proposed for the proof rules of a bilateral sequent system. Rules that are sound with respect to this interpretation can be seen as generating an intrinsic logic of dialectical dispo- sition expressivism. It is argued that such a logic will be very weak —weaker than the intersection of minimal logic and FDE.

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Lionel Shapiro
University of Connecticut

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References found in this work

Saving truth from paradox.Hartry Field - 2008 - New York: Oxford University Press.
Relevant Logic: A Philosophical Interpretation.Edwin Mares - 2004 - New York: Cambridge University Press.
Yes and no.I. Rumfitt - 2000 - Mind 109 (436):781-823.
Weak Assertion.Luca Incurvati & Julian J. Schlöder - 2019 - Philosophical Quarterly 69 (277):741-770.

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