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标题: 集合高手请帮忙 [打印本页]

作者: 爱陈雅 时间: 2005-9-26 22:49
标题: 集合高手请帮忙

1。当A=(X/x=x), B=(x/x不等于x), and C=(x/x is the element of x) 我们可以问9 种membership questions of these three: A is the member of A, A is the member of B , A is the member of C , B is the member of A , B is the member of B, B is the member of C , C is ........... can anyone give me the answer of these 9 membership questions?

作者: fzy 时间: 2005-9-27 01:41
标题: 回复：集合高手请帮忙

现代集合论的公理有两个结论：一个是不存在“所有元素的集”，一个是任何集合都不是他本身的元素。根据第一个结论，A的定义是不合法的。根据第二个结论，C是空集。

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