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PROVING UNPROVABILITY IN SOME NORMAL MODAL LOGIC
PROVING UNPROVABILITY IN SOME NORMAL MODAL LOGIC

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PDF

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... quantifications, there are two lemmas asserting the existence of appropriate saturated sets, which we state for the case of denumerable languages. Their proof is straightforward. First, where G is a set of formulas and E a formula of the same language not derivable from it, there is, for a language ...
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PDF

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Fuzzy logic



Fuzzy logic is a form of many-valued logic in which the truth values of variables may be any real number between 0 and 1. By contrast, in Boolean logic, the truth values of variables may only be 0 or 1. Fuzzy logic has been extended to handle the concept of partial truth, where the truth value may range between completely true and completely false. Furthermore, when linguistic variables are used, these degrees may be managed by specific functions.The term fuzzy logic was introduced with the 1965 proposal of fuzzy set theory by Lotfi A. Zadeh. Fuzzy logic has been applied to many fields, from control theory to artificial intelligence. Fuzzy logic had however been studied since the 1920s, as infinite-valued logic—notably by Łukasiewicz and Tarski.
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