关于“可得”与“不可得”无限——与张伟平商榷

With Respect to "Attainable" and "Unattainable" Infinity

张伟平对文[2]中提及的关于可得无限与不可得无限的层次区分概念存在十分严重的错误理解.这种错误的理解会在数学教学中引起混乱.要正确解读康托（Cantor）（其实是由多宾斯基（Dubinsky）命名）的所谓＂可得＂与＂不可得＂无限的本来含义,不应忽略近现代数学、逻辑,尤其是集合论的发展及其对数学研究对象描述方式的影响.

The concept of ＂attainable＂ and ＂unattainable＂ infinity,which was quoted from [2] was completely misread by ZHANG Wei-ping in her note [1].This mistake could lead to ideological confusion in the process of teaching and studying.To understand the essence of ＂attainable＂ and ＂unattainable＂ infinity,which was inferred by Cantor（as a matter of fact,it was named by Dabinsky）,it should be based on the development of set theory and combination with the modern mathematics and logic.