关于自然数系统不相容性证明的分析与研究

On the Proof of the Inconsistency of Natural Number System

文献[2]在6.4.2、6.5.2、6.8.2中,分别用三种方法证明了自然数集合N={x|n(x)}是自相矛盾的非集.而文献[1]在3.6中,针对6.4.2中的证明方法提出诸多质疑,经过对比分析和研究,不仅发现其中每一条质疑都不成立,而且发现文献[2]之3.6与2.4两处,对于同一个概念和相同内容的判断均自相矛盾.最后我们在§5中,对于合理的实无穷刚性集合的结构与内涵提出了不同于[2]之7.6.3的思想原则,为之本文主要是评论性文章,也有创新思想内容.

In the sections of 6.4.2,6.5.2 and 6.8.2 presented in Reference 2,three proofs that the natural number set N={x|n(x)} is a not-set with self-contradicting was given respectively.However,some aspects of the proof in 6.4.2 were oppugned in the section of 3.6 in Reference 1.It was found in the analysis that not only every query in that part was not tenable,but also the verdicts in 3.6 and 2.4 in Reference 1 were paradox when treating the same concepts and contents.Furthermore,some new principles that were diff...