What is the logic of inference?

Studia Logica 88 (2):263 - 294 (2008)
The topic of this paper is the question whether there is a logic which could be justly called the logic of inference. It may seem that at least since Prawitz, Dummett and others demonstrated the proof-theoretical prominency of intuitionistic logic, the forthcoming answer is that it is this logic that is the obvious choice for the accolade. Though there is little doubt that this choice is correct (provided that inference is construed as inherently single-conclusion and complying with the Gentzenian structural rules), I do not think that the usual justification of it is satisfactory. Therefore, I will first try to clarify what exactly is meant by the question, and then sketch a conceptual framework in which it can be reasonably handled. I will introduce the concept of 'inferentially native' logical operators (those which explicate inferential properties) and I will show that the axiomatization of these operators leads to the axiomatic system of intuitionistic logic. Finally, I will discuss what modifications of this answer enter the picture when more general notions of inference are considered
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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References found in this work BETA
Bertrand Russell (2005). On Denoting. Mind 114 (456):873 - 887.

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Citations of this work BETA
Jaroslav Peregrin (2015). Logic Reduced To Bare Bones. Journal of Logic, Language and Information 24 (2):193-209.

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