David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Australasian Journal of Philosophy 4:47-192 (2006)
This document collects natural derivation systems for logics described in Priest, An Introduction to Non-Classical Logic. It provides an alternative or supplement to the semantic tableaux of his text. Except that some chapters are collapsed, there are sections for each chapter in Priest, with an additional, final section on quantified modal logic. In each case, the language is briefly described and key semantic definitions stated, the derivation system is presented with a few examples given, and soundness and completeness are proved. There should be enough detail to make the parts accessible to students would work through parallel sections of An Introduction to Non-Classical Logic
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