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数学教师了解一些逻辑方面的有关知识是非常必要的。这篇短文旨在对“对数学概念下定义时是否可以采用否定形式”的问题提出一些看法。在不少有关数学逻辑知识的书本里,在谈到对概念下定义的规则或要求时,对此都有说明,如: (1)《中学数学逻辑问题》(杨景星、杨景芳编著,福建人民教育出版社1962年10月出版)的第12页写道:“定义应当尽可能不是否定的”。
It is necessary for mathematics teachers to understand some logical aspects of knowledge. This essay aims to provide some ideas on whether or not the definition of mathematics can be used in the negative form. In many books on knowledge of mathematical logic, when it comes to defining the rules or requirements of concepts, there are explanations for this, such as: (1) “The Problems of Mathematical Logic in Middle Schools” (edited by Yang Jingxing, Yang Jingfang, Fujian People’s Education The 12th page of the publishing house published in October 1962 wrote: “The definition should not be negative as far as possible.”