From reasonable preferences, via argumentation, to logic
Jacot, Justine; Genot, Emmanuel; Zenker, Frank (2016). From reasonable preferences, via argumentation, to logic. Journal of Applied Logic, 18,, 105 - 128
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Published
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English
Authors:
Jacot, Justine
;
Genot, Emmanuel
;
Zenker, Frank
Department:
Theoretical Philosophy
Lund University Information Quality Research Group (LUIQ)
CogComlab
Research Group:
Lund University Information Quality Research Group (LUIQ)
CogComlab
Abstract:
This article demonstrates that typical restrictions which are imposed in dialogical logic in order to recover first-order logical consequence from a fragment of natural language argumentation are also forthcoming from preference profiles of boundedly rational players, provided that these players instantiate a specific player type and compute partial strategies. We present two structural rules, which are formulated similarly to closure rules for tableaux proofs that restrict players' strategies to a mapping between games in extensive forms (i.e., game trees) and proof trees. Both rules are motivated from players' preferences and limitations; they can therefore be viewed as being player-self-imposable. First-order logical consequence is thus shown to result from playing a specific type of argumentation game. The alignment of such games with the normative model of the Pragma-dialectical theory of argumentation is positively evaluated. But explicit rules to guarantee that the argumentation game instantiates first-order logical consequence have now become gratuitous, since their normative content arises directly from players' preferences and limitations. A similar naturalization for non-classical logics is discussed.
Keywords:
Pragma-dialectics ;
Game semantics ;
Logic
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