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Zaitsev, D.V. Generalized models of reasoning, inferential many-valuedness and quasi-matrix//Polygnozis, 1-2(38), 2010, P.
In modern philosophical logic and logical semantics, the project aimed to generalize the notion of entailment on the ground of G.Malinowskis quasi-matrix approach is among the most promising. Due to research of Y.Shramko and H.Wansing it is known that the whole specter of definitions of entailment relations can be formilized by five different logics: classical one and first-degree fragments of relevant logic, Priests logic of Paradox, Kleene and Lukasiewicz logics. The paper shows that the prehistory of these ideas can be traced in early research of E.Smirnova. Also the developments of quasi-matrix approach and its possible applications are discussed.
Key words: logic (inferential) many-valuedness, quasi-matrix approach.


 
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