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RESOLVING INFINITARY PARADOXES

Published online by Cambridge University Press:  19 June 2017

MICHAŁ WALICKI
MICHAŁ WALICKI*
Affiliation:
DEPARTMENT OF INFORMATICS UNIVERSITY OF BERGEN PBOX 7803, 5020 BERGEN, NORWAYE-mail: michal@ii.uib.no
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Abstract

Graph normal form, GNF, [1], was used in [2, 3] for analyzing paradoxes in propositional discourses, with the semantics—equivalent to the classical one—defined by kernels of digraphs. The paper presents infinitary, resolution-based reasoning with GNF theories, which is refutationally complete for the classical semantics. Used for direct (not refutational) deduction it is not explosive and allows to identify in an inconsistent discourse, a maximal consistent subdiscourse with its classical consequences. Semikernels, generalizing kernels, provide the semantic interpretation.

Keywords

paradoxinfinitary logicresolutionsubstructural logicdiagraph kernel
Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 2 , June 2017 , pp. 709 - 723
Copyright
Copyright © The Association for Symbolic Logic 2017 

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References

REFERENCES

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