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On logical pluralism and alternative pragmatic theories
Abstract.This article analyzes the forms of logical analysis in the pragmatic theory and the requirements necessary for structuring the authoritative pragmatic theory. The author compares the various logical schemes and their use pragmatic theories. The article examines the origins and peculiarities of institutional mathematical logics and discusses the specificities of logical calculus structured by L. I. Rosonoer (1983); PCont equivoluminar paraconsistent calculus PI s built by A. Arruda; and LPCont and LP1Cont in which the classical logic plays a role of formal metalanguage for the paraconsistent calculus PCont. The author analyses the three distinctions of para-tautology from institutional tautology; discusses refusal from the principle ECQ (ex contradictione quodlibet) and execution of the “principle of unprovability from the extraneous thoughts” in the (non-trivializing) paraconsistent logic; as well as applicability of logical pluralism for various pragmatic theories. The article carries out a comparative analysis of the various logical systems and their potential application in pragmatic theories, in creating an artificial intelligence and regulation of discussions. The author analyzes the theoretical-plural motivation of para-compatibility suggested by K. Mortensen. In accordance with Mortensen’s position, is proposed an approach for verification of fundamental ideas and conceptual logical schemes, which is called the principle of mathematical tolerance. The work also analyzes the cases of use of the paraconsistent logic in pragmatic theories and crucial causes for the inconsistent pragmatic positions and the alternative theories of real pragmatics.
Keywords: consistency, non-predicative descriptor, paraconsitent logics, trivialisable logical system, 3-tautology, intuitionist predicate calculus, pragmatic theory, pragmatic analysis, alternative pragmatic theories, unsolvable problems
Article was received:10-04-2018
This article written in Russian. You can find full text of article in Russian here .