Theory of Logical Calculi

Theory of Logical Calculi

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The general aim of this book is to provide an elementary exposition of some basic concepts in terms of which both classical and non-dassicallogirs may be studied and appraised. Although quantificational logic is dealt with briefly in the last chapter, the discussion is chiefly concemed with propoAs gjtional cakuli. Still, the subject, as it stands today, cannot br covered in one book of reasonable length. Rather than to try to include in the volume as much as possible, I have put emphasis on some selected topics. Even these could not be roverrd completely, but for each topic I have attempted to present a detailed and precise t'Xposition of several basic results including some which are non-trivial. The roots of some of the central ideas in the volume go back to J.LukaAs siewicz's seminar on mathematicallogiThe inclusion is proper because, for instance, for logic in L% )AlAl/ the rule D (a A / ?) ... These observations are gathered together in the following diagram, where a€” Ar means c: MA \Ka)Matr?tf ^ \Ka)Matr \Ka)Nsh [KD ) {f MA) a#39; (-^D )Matra€žt [Ku )anbsp;...

Title:Theory of Logical Calculi
Author:Ryszard Wójcicki
Publisher:Springer Science & Business Media - 1988-09-30


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