A Speech Act Calculus

Moritz Cordes (1) , Friedrich Reinmuth (1)

1 Institut für Philosophie der Universität Greifswald

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.

Keywords: Speech Act Calculus; Natural Deduction; Logic; Pragmatisation

Domains: Philosophy; Logic in Computer Science [cs.LO]; Logic [math.LO]

Moritz Cordes, Friedrich Reinmuth. A Speech Act Calculus. 2011. ⟨hal-00609242⟩