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Steven G. KrantzWe discuss the present state of mathematical fuzzy logic in narrow sense, its extension - fuzzy logic in broader sense (FLb) as a logic of natural human reasoning and also some related theories, e.g., the fuzzy transform. We argue that these are good theories with potential to be very practical.irradicable 发表于 2025-3-22 03:05:35
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The Axioms of Set Theory,Of course there are many versions of set theory, and the inclusion or exclusion of certain axioms is the subject of intensive study. Here we present one of the most standard versions of set theory, adhering closely to the version first set down by Zermelo and Fraenkel.缓和 发表于 2025-3-22 20:01:51
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The Number Systems,It is in fact quite difficult to construct—from first principles—a system of natural numbers in which the multiplication operation is workable.Condescending 发表于 2025-3-23 05:11:06
Methods of Mathematical Proof,The basic elements of mathematics are“undefinables”(Subsection 3.1.1). Since every new piece of terminology is defined in terms of old pieces of terminology, we must begin with certain terms that have no definition.讲个故事逗他 发表于 2025-3-23 05:47:53
The Axiom of Choice,The Axiom of Choice was first enunciated by Zermelo. The standard formulation is as follows.