连续统是可数的：无限是唯一的
The Continuum is Countable: Infinity is Unique
摘要：
自从康托尔提出这个理论以来，数学家们对无限集合的大小产生了浓厚的兴趣。我们知道整数集合是无限可数的，它的基数是Aleph 0。康托证明在1891年与对角线方法的论点，该套实数是不可数的，不能有任何双射之间的整数和实数。康托特别指出了连续统假设。本文证明了实数集的基数与整数集的基数相同。我还表明，只有一个维度的无限集，阿莱夫。
英文摘要：
Since the theory developed by Georg Cantor, mathematicians have taken a sharp interest in the sizes of infinite sets. We know that the set of integers is infinitely countable and that its cardinality is Aleph0. Cantor proved in 1891 with the diagonal argument that the set of real numbers is uncountable and that there cannot be any bijection between integers and real numbers. Cantor states in particular the Continuum Hypothesis. In this paper, I show that the cardinality of the set of real numbers is the same as the set of integers. I show also that there is only one dimension for infinite sets, Aleph.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
