ZF系统理论的分析与探讨——由理发师悖论所想到的

Analysis and Research on ZF Systerm Theory --An idea caused by a barber's perverse theory

伯特纳德·罗素的理发师悖论动摇了数学基础。本文通过分析悖论产生的原因 ,由策梅罗集合论给出了解决悖论的方法 ,在此基础上推出了稳定可靠的数学基础———ZF系统理论。

The perverse theory of Burnside Russell's baber vacillates the maths′ base.This article analyses the cause of the perverse theory emerged,provides the workable method of solving the problem by Zermelo's assembly theory, and infers the reasonable and reliable maths basis--ZF systerm theory.