Abstract
The paper introduces a concept of logic applied to a formalization of the so-called inferences preserving degrees of truth. Semantical and syntactical characterizations of three kinds of logics preserving degrees of truth are provided. The other approach than in [3] and [9] to the problem of expressing that a sentence α is less true than a sentence β is presented.
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References
K. Ajdukiewicz, Pragmatic Logic, PWN Warsaw, D. Reidel Dordrecht 1974.
D. J. Brown and R. Suszko, Abstract logics, Dissertationes Mathematicae 102 (1973) pp. 9–41.
E. Casari, Comparative logics, Synthese 73 (1987) pp. 421–449.
J. Czelakowski and G. Malinowski, Key notions of Tarski's methodology of deductive systems, Studia Logica 44 (1985) pp. 321–351.
K. Dyrda and T. Prucnal, On finitely based consequence determined by a distributive lattice, Bulletin of the Section of Logic PAS 9 (1980) pp. 60–66.
G. Malinowski, Topics in the Theory of Strengthenings of Sentential Calculi, PAS, Institute of Philosophy and Sociology Warsaw 1979,
W. Marciszewski, Podstawy logicznej teorii przekonań, PWN Warszawa 1972 (in Polish),
I. Marek, Adequate semantics for non-pseudoaxiomatic consequence operations, Bulletin of the Section of Logic PAS 15 (1986) pp. 66–71,
P. Minari, On the semantics of comparative logics, Zeitschrift für mathematische Logik und Grundlagen der Mathematik 34 (1988), pp. 433–448,
M. Nowak, A characterization of consequence operation preserving degrees of truth, Bulletin of the Section of Logic PAS 16 (1987) pp. 159–166,
P. Suppes, Two rules of detachment in inductive logic, in: The Problems of Inductive Logic, ed. I. Lakatos, North Holland Amsterdam 1968,
R. Wójcicki, Matrix approach in methodology of sentential calculi, Studia Logica 32 (1973) pp. 7–39,
R. Wójcicki, Referential matrix semantics for propositional calculi, Bulletin of the Section of Logic PAS 8 (1979) pp. 170–176,
R. Wójcicki, Lectures on Propositional Calculi, Ossolineum 1984.
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Nowak, M. Logics preserving degrees of truth. Studia Logica 49, 483–499 (1990). https://doi.org/10.1007/BF00370160
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DOI: https://doi.org/10.1007/BF00370160