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§3 判断 1.数学命题在已经建立概念的基础上,人们就可以进行思维活动,考察一个概念和其它概念之间的关系。概念之间的联系反映到人的头脑中,通常就形成判断。所谓判断,就是对某一对象肯定或否定它具有某种性质的思维形式。判断要用语句来表达,一般是一句完整的、带判断性质的语句。数学中的判断通常叫做命题。例如: ①直线上两点之间的部分叫做线段; ②经过两点可以作一条直线且只能作一条直线;
§ 3 Judgment 1. Mathematical propositions On the basis of established concepts, people can perform thinking activities and examine the relationship between a concept and other concepts. The connection between concepts is reflected in people’s minds and usually forms judgments. The so-called judgment is the affirmation or negation of a certain form of thinking of an object. Judgments are expressed in sentences, which are generally complete sentences with judgmental properties. The judgments in mathematics are often called propositions. For example: 1 The part between two points on a straight line is called a line segment; 2 can be made a straight line and can only be a straight line after two points;