美丽动人
发表于 2025-3-21 16:34:39
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Commentary
发表于 2025-3-21 22:26:36
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Mercurial
发表于 2025-3-22 00:41:04
The Zermelo/Fraenkel Axioms of Set Theory,study any other structure in which they hold, just as we study many vector spaces over and above the Euclidean space .. Thus set theory is no different from any other axiomatic theory familiar to the reader. It is, like the theories of groups, rings, fields, vector spaces, lattices, and so on, an . theory.
Enervate
发表于 2025-3-22 08:01:59
Synthese Libraryhttp://image.papertrans.cn/i/image/473451.jpg
渗入
发表于 2025-3-22 09:27:00
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独行者
发表于 2025-3-22 15:58:27
Introduction to Axiomatic Set Theory978-94-010-3144-8Series ISSN 0166-6991 Series E-ISSN 2542-8292
艰苦地移动
发表于 2025-3-22 17:43:44
Ordinals, Cardinals,Let . be a set, all of whose elements lie in the domain of some linear ordering .(.). We say that . is . by . if every non-empty subset of . has a smallest element (mod. .). It is immediate that if . is well ordered by . then every subset of . is also well ordered by . then every subset of . is also well ordered by ..
狂乱
发表于 2025-3-22 22:24:12
The Axiom of Foundation,The axiom of foundation (. for short) is the sentence.in other words, the axiom states that every non-empty set has an element which is disjoint from it.
慢慢流出
发表于 2025-3-23 04:50:17
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Decimate
发表于 2025-3-23 08:04:20
The Set of Expressions,In the first two chapters we constructed, within each universe ., a sort of replica for several of the fundamental ideas of mathematics; the idea of a mapping, for example, or that of a natural number. And we agreed thenceforth to use these words in the senses we had given them in . ,and not at all in their everyday senses.