The promotion of law of excluded middle - generali

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The promotion of law of excluded middle - generalized excluded middle and the mathematical representation

Does not belong to a large extent , the two can coexist , but the two are proportional stratified . Mathematical language that is : given the domain of u ( the set of all things ), a fuzzy set A ( the ambiguity of things under discussion ) is that for any M ∈, are assigned a number (M) ∈ [0,1 ] (called M on the membership degree ), mapping :> [0,1] M -> (M) ∈ [0,1] with a mathematical formula can be expressed as : (M) V (M) ≤ 1 when (M) the range is { 0,1 } , the fuzzy set A to set off into the ordinary , so ordinary collection is a special case of fuzzy sets ; excluded middle is the general law of excluded middle is a special case . 7 Conclusions generalized excluded middle only inherited form of logic and mathematical logic in the rational part of the law of excluded middle , but also to avoid the formation of the defects of a dialectical perspective and with a reasonable and logical thinking. The logical thinking and the Relativism, sophistry is essentially different . For this reason, the generalized law of excluded middle way of thinking in modern science to take an active role and a wide range of application. It is not only natural sciences ( such as: mathematics, topology , control theory, fuzzy math library , artificial intelligence , artificial neural network, etc.) but also for the social sciences ( such as: economic management, psychology, education, medicine , etc.) A powerful way of thinking of cognition ,[link widoczny dla zalogowanych], allowing computers to mimic human brain to identify complex systems discrimination, and improve the automation level. With the further development of science and technology , in particular, fuzzy , gray mathematics, artificial intelligence and artificial neural networks, the further development of science , general law of excluded middle will play an increasingly important role.