Titlebook: Metamathematics of Fuzzy Logic; Petr Hájek Book 1998 Springer Science+Business Media Dordrecht 1998 addition.logic.mathematical logic.pred

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Petr Hájekods. This book has been written to illustrate how calorimetric and spectroscopic measurements can be used to check theoretical predictions on extinction properties of infrared radiation in optically thick, absorbing and scattering particulate media. A determination of infrared extinction coefficient

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Many-Valued Propositional Calculi,er, we shall deal with .. Second, we take the real unit interval [0, 1] for our set of truth values, 1 being absolute truth, 0 absolute falsity. The natural ordering ≤ of reals will play a very important role; thus our truth values are linearly ordered, the ordering is dense and complete (each set o

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,?ukasiewicz Propositional Logic,ome of its extensions. Clearly, we want to find a complete axiomatization. It turns out that it is enough to add just one 1-tautology of this logic to the axioms of BL, namely the following axiom (??) of double negation.

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Many-Valued Predicate Logics,analogous to the classical predicate logic; in particular, we shall deal only with two quantifiers, ? and ? (universal and existential). Generalized quantifiers will be studied in later chapters. In Section 1 we shall develop the predicate counterpart BL? of our basic propositional logic BL; in Sect

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