论康托对角线法的局限性与数学、逻辑学中的一些基础性问题

About the Cantor's Diagonal Argument's Limitations and the Base of Mathematics

康托对角线法的使用存在一个隐含前提。如改变前提,是可以得到连续统与自然数集合间的一个一一对应的。这一结论,与传统看法明显不同,而由此,连续统假设的相对独立性是必然的,从而为这一问题的澄清提供了依据。

Cantors Diagonal Argument has a enigmatic premise. If it was changed,we can have a one- one correspondence between continum and natural number set. This conclusion is different from traditional ideas clearly. So relative independent characteristic of the continum hypothesis is on intevitable outcome. On the basis of it,The author presents clues to clarify this problems.