[1]讨论了复数集内实数能否比大小的问题,引起很多读者的兴趣,教科书[2]中对这问题有相关的叙述.[2]是60年代出版的一本教科书,据知80年代还在使用,作者是数论方面有研究的数学家.它是一本微积分的基础教科书,没有介绍域、偏序和全序等一般的概念.书的引论一章对实数系建立了三 [1] discussed the problem of whether the real number in a complex set can be sized or not, which has aroused the interest of many readers. The textbook [2] has a relevant narrative on this issue. [2] is a textbook published in the 1960s, according to the knowledge of 80 The age is still in use. The author is a mathematician with research in number theory. It is a basic textbook of calculus and does not introduce general concepts such as domain, partial order, and total order. The introduction of the book establishes a series of real numbers. three