Calculizing classical inferential erotetic logic

Review of Symbolic Logic 14 (4):1066-1087 (2021)
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Abstract

This paper contributes to the calculization of evocation and erotetic implication as defined by Inferential Erotetic Logic (IEL). There is a straightforward approach to calculizing (propositional) erotetic implication which cannot be applied to evocation. First-order evocation is proven to be uncalculizable, i.e. there is no proof system, say FOE, such that for all X, Q: X evokes Q iff there is an FOE-proof for the evocation of Q by X. These results suggest a critique of the represented approaches to calculizing IEL. This critique is expanded into a programmatic reconsideration of the IEL-definitions of evocation and erotetic implication. From a different point of view these definitions should be seen as desiderata that may or may not play the role of a point of orientation when setting up "rules of asking".

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Moritz Cordes
Center for Advanced Internet Studies Bochum

References found in this work

The Development of Logic.William Kneale & Martha Kneale - 1962 - Studia Logica 15:308-310.
A note on the entscheidungsproblem.Alonzo Church - 1936 - Journal of Symbolic Logic 1 (1):40-41.
``A Note on the Entcheidunsproblem".Alonzo Church - 1936 - Journal of Symbolic Logic 1 (1):40-41.

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