Studia Logica 102 (6):1103-1142 (2014)

Abstract
Gentzen’s and Jaśkowski’s formulations of natural deduction are logically equivalent in the normal sense of those words. However, Gentzen’s formulation more straightforwardly lends itself both to a normalization theorem and to a theory of “meaning” for connectives . The present paper investigates cases where Jaskowski’s formulation seems better suited. These cases range from the phenomenology and epistemology of proof construction to the ways to incorporate novel logical connectives into the language. We close with a demonstration of this latter aspect by considering a Sheffer function for intuitionistic logic.
Keywords Jaśkowski  Gentzen  Natural deduction  Classical logic  Intuitionistic logic  Inferential semantics  Generalized natural deduction  Sheffer functions
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DOI 10.1007/s11225-014-9564-1
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References found in this work BETA

Counterfactuals.David Kellogg Lewis - 1973 - Cambridge, MA, USA: Blackwell.
Logic, Semantics, Metamathematics.Alfred Tarski - 1956 - Oxford, Clarendon Press.

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