A Speech Act Calculus. A Pragmatised Natural Deduction Calculus and its Meta-theory

Abstract

Building on the work of Peter Hinst and Geo Siegwart, we develop a pragmatised natural deduction calculus, i.e. a natural deduction calculus that incorporates illocutionary operators at the formal level, and prove its adequacy. In contrast to other linear calculi of natural deduction, derivations in this calculus are sequences of object-language sentences which do not require graphical or other means of commentary in order to keep track of assumptions or to indicate subproofs. (Translation of our German paper "Ein Redehandlungskalkül. Ein pragmatisierter Kalkül des natürlichen Schließens nebst Metatheorie"; online available at http://philpapers.org/rec/CORERE.)

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Moritz Cordes
Center for Advanced Internet Studies Bochum

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References found in this work

Logic.Donald Kalish - 1964 - New York,: Harcourt, Brace & World. Edited by Richard Montague.
Natural Logic.H. A. Lewis - 1981 - Philosophical Quarterly 31 (125):376.
Intermediate logic.David Bostock - 1997 - New York: Oxford University Press.

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