Countability of the Real Numbers
综合数学
2007-05-23 v1
摘要
The proofs that the real numbers are denumerable will be shown, i.e., that there exists one-to-one correspondence between the natural numbers and the real numbers . The general element of the sequence that contains all real numbers will be explicitly specified, and the first few elements of the sequence will be written. Remarks on the Cantor's nondenumerability proofs of 1873 and 1891 that the real numbers are noncountable will be given.
关键词
引用
@article{arxiv.math/0403169,
title = {Countability of the Real Numbers},
author = {Slavica Vlahovic and Branislav Vlahovic},
journal= {arXiv preprint arXiv:math/0403169},
year = {2007}
}
备注
14 pages