集合论

Naive set theory:任给一个性质,满足该性质的所有集合总可以组成一个集合

Russell's paradox:当性质为x不属于x(x不是自身的元素)时产生

Axiomatic set theory:ZFC / NGB

Cantor's theorem:the cardinality (numerical size) of a set is strictly less than the cardinality of its power set (the set of all subsets)

Reference

计算机与数学

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