Imperative Bilateralism

In Martin Blicha & Igor Sedlár (eds.), The Logica Yearbook 2020. College Publications. pp. 237-252 (2021)
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Abstract

This paper provides a proof-theoretic account of imperative logical consequence by generalising Greg Restall’s multiple conclusion bilateralism for declarative logic. According to imperative bilateralism, a sequent Γ ⊢ Δ is valid iff jointly commanding all the imperatives Φ ∈ Γ and prohibiting all the imperatives Ψ ∈ Δ clashes. This account has three main virtues: (1) it provides a proof-theoretic account of imperatives; (2) it does not rely on the controversial notion of imperative inference; and (3) it is neutral regarding cognitivism about imperatives.

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Kai Tanter
University of Melbourne

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References found in this work

General semantics.David K. Lewis - 1970 - Synthese 22 (1-2):18--67.
Truth and Other Enigmas.Michael Dummett - 1980 - Revue Philosophique de la France Et de l'Etranger 170 (1):62-65.
Inferentialism: Why Rules Matter.Jaroslav Peregrin - 2014 - London and New York: Palgrave-Macmillan.
Logic and Semantics for Imperatives.Nate Charlow - 2014 - Journal of Philosophical Logic 43 (4):617-664.

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