从辩证逻辑视角看微积分

在当今科学哲学界,虽然辩证法派属于少数派,但作者却愿意加入这一行列。作者立足于数学上公认的事实材料,用辩证逻辑的流动范畴的眼光来分析微积分主要的基本概念的辩证本性,并且对微积分与代数、代数与算术之间的关系,和辩证逻辑与形式逻辑之间的关系,进行对应与类比,从而在辩证思维的语境中揭示了数学中所隐含的辩证逻辑内涵。

Calculus under the Perspective of Dialectical Logic

In today's circle of scientific philosophy,dialectical logic trend is minority,however,we belong to it.Our paper is based on materials of fact which are commonly accepted by mathematics,and analyzes the dialectical properties of elementary concepts of Calculus from a perspective of the moveable category of dialectical logic,as well as,finds out the correspondence and analogy between the relations of calculus and algebra,algebra and arithmetic,and the relation of dialectical logic and formal logic.Then,in th...