数学分析中几类基本概念逻辑结构分析(续)

An Analysis of Several Basic Concepts of Logic Structure in Mathematical Analysis(Continued)

数学分析的演绎证明中,反证法用的较多,而要用反证法首先要学会由已知判断正确地写出其否定判断,又因判断是由概念组成的,所以能否根据已知概念正确陈述它的否定概念,就变成能否灵活的运用反证法的首要问题.本文以函数几类基本概念及其否定概念为例,简要地谈谈数学分析基本概念及其否定概念逻辑结构.

Reduction to absurdity is used more in deductive proof of Mathematical Analysis. Using reduction to absurdity, one must first learn to have a judge to write a correct negative judgment. And since a judgment is composed of concept, one can correctly state the negative according to the known concepts, and it will become the chief problem whether one can flexibly use reduction to absurdity. This paper takes several basic concepts of function and the related negative concepts as an example, briefly discusses the logical structure of several types of basic concepts and the negative concept in Mathematical Analysis.