Towards a More General Concept of Inference

Logica Universalis 8 (1):61-81 (2014)

Authors
Ivo Pezlar
Czech Academy of Sciences, Institute of Philosophy
Abstract
The main objective of this paper is to sketch unifying conceptual and formal framework for inference that is able to explain various proof techniques without implicitly changing the underlying notion of inference rules. We base this framework upon the so-called two-dimensional, i.e., deduction to deduction, account of inference introduced by Tichý in his seminal work The Foundation’s of Frege’s Logic (1988). Consequently, it will be argued that sequent calculus provides suitable basis for such general concept of inference and therefore should not be seen just as technical tool, but philosophically well-founded system that can rival natural deduction in terms of its “naturalness”
Keywords Proof theory  inference  two-dimensional inference  inference rule  natural deduction  sequent calculus  Tichý  Frege
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DOI 10.1007/s11787-014-0095-3
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The Logical Basis of Metaphysics.Michael DUMMETT - 1991 - Harvard University Press.
The Collected Papers of Gerhard Gentzen.Gerhard Gentzen - 1969 - Amsterdam: North-Holland Pub. Co..

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