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Titlebook: Naive Set Theory; Paul R. Halmos Book 1974 Springer Science+Business Media New York 1974 addition.arithmetic.Cardinal number.Countable set

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樓主: 母牛膽小鬼
51#
發(fā)表于 2025-3-30 09:40:30 | 只看該作者
52#
發(fā)表于 2025-3-30 12:25:04 | 只看該作者
The Axiom of Choice,For the deepest results about partially ordered sets we need a new settheoretic tool; we interrupt the development of the theory of order long enough to pick up that tool.
53#
發(fā)表于 2025-3-30 18:12:53 | 只看該作者
54#
發(fā)表于 2025-3-30 21:56:36 | 只看該作者
55#
發(fā)表于 2025-3-31 04:56:36 | 只看該作者
Families,generally accepted way of communicating the notation and indicating the emphasis is to speak of a family {..} in ., or of a family {..} of whatever the elements of . may be; when necessary, the index set . is indicated by some such parenthetical expression as (. ∈ .).
56#
發(fā)表于 2025-3-31 07:40:27 | 只看該作者
57#
發(fā)表于 2025-3-31 10:20:00 | 只看該作者
Unions and Intersections, generalization of itself; surely a similar construction should apply to arbitrary collections of sets and not just to pairs of them. What is wanted, in other words, is the following principle of set construction.
58#
發(fā)表于 2025-3-31 17:11:16 | 只看該作者
Relations,An example of a ternary relation is parenthood for people (Adam and Eve are the parents of Cain). In this book we shall have no occasion to treat the theory of relations that are ternary, quaternary, or worse.
59#
發(fā)表于 2025-3-31 19:30:42 | 只看該作者
60#
發(fā)表于 2025-4-1 01:30:38 | 只看該作者
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