康托集合论的基本观点是,一个无穷集合可以和它的一个真子集一一对应,或者说部分可以和全体相等,而这个观点正是康托集合论的一个定理的结论。因此,只要我们能够证明康托集合论的上述定理是错误的,那么,我们也就证明了康托集合论是一个错误的理论。本文首先根据客观事实对康托的上述定理提出质疑,然后详细地证明上述康托集合论的定理的证明是错误的,最后我们得出结论,康托集合论是错误的理论。 The basic idea of ​​Cantor’s theory of set theory is that an infinite set can correspond to one of its real subsets, or that a part can be equal to the whole, and this view is the conclusion of a theorem of Cantor’s set theory. Therefore, as long as we can prove that the above theorem of Cantor’s set theory is wrong, we prove that Cantor’s set theory is a wrong theory. In this paper, we first question Cantor’s above theorems based on objective facts, and then prove in detail that the above proofs of Cantor’s set theory are wrong. Finally, we conclude that Cantor’s set theory is a false theory.