genial 发表于 2025-3-21 17:11:33
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0172-6641 esults is given in the exercises, which are scattered throughout the text. Most exer cises are provided with an outline of proof in square brackets [ ], and the more difficult ones are indicated by an asterisk. I am greatly indebted to all those mathematicians, too numerous to men tion by name, whBiofeedback 发表于 2025-3-22 01:42:20
Forcing and Generic Modelsansitive model of set theory, namely the constructible universe .. And . satisfies the generalized continuum hypothesis. Thus if we wish to show, e.g., that the continuum hypothesis is unprovable in ZFC we cannot just look for a transitive model ? that would satisfy 2. > N.. What is needed is a diffLucubrate 发表于 2025-3-22 07:22:30
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Descriptive Set Theory images of closed sets) or are definable in a simple way. The main theme is that questions that are difficult to answer if asked for arbitrary sets of reals, become much easier when asked for sets that have a simple description. An example of that is the Cantor-Bendixson theorem (Theorem 14): EveryGRE 发表于 2025-3-22 16:33:26
Forcing and Generic Models, that the continuum hypothesis is unprovable in ZFC we cannot just look for a transitive model ? that would satisfy 2. > N.. What is needed is a different way of constructing models of set theory. There are several possible approaches to this problem:陈旧 发表于 2025-3-22 20:09:16
http://reply.papertrans.cn/87/8658/865769/865769_7.png能得到 发表于 2025-3-22 22:49:03
Springer-Verlag Berlin Heidelberg 1997ascend 发表于 2025-3-23 04:47:30
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Axiomatic Set TheoryIf X and Y have the same elements, then X = Y.