把具有对立关系的两个数学对象进行类比研究它们相互转化的条件。由此产生的联想,我们称为辩证联想。 这里所提的类比具有两个特征(1)所进行比较的两个对象是对立的,如:“已知与未知”,“相等与不等”,“动点与定点”等等。(2)比较的方法不是简单的观察,而是用对立统一的观点分析对立着的对象间的共性,研究它们相互转 The two mathematical objects with opposing relations are used to study the conditions of their mutual transformation. The resulting association is called dialectical association. The analogy proposed here is opposed by two objects that are compared by two features (1), such as: “known and unknown”, “equal and inequality”, “moving point and fixed point”, and so on. (2) The method of comparison is not a simple observation. Instead, it analyzes the commonalities between opposing objects from the standpoint of the unity of opposites.