The proof of Cantor s theorem in all the couses are nearly the same as that of the proof which was given by Takeuti in 1982,except that the diagonal method The author shows a new proof of Cantor s theorem by using the cofinality and inaccessible cardinal The new proof is different from any other given proof
Ｃａｎｔｏｒ定理的证明，除了对角线法外，其他所有证明实质上都类同于Ｔａｋｅｕｔｉ在１９８２年给出的证法现应用共尾数和不可达基数给出了新的证法，这个证法不同于以往各种证
