从辩证逻辑视角看微积分  

Calculus under the Perspective of Dialectical Logic

作　　者：桂起权[1] 姜小慧[2] 

机构地区：[1]武汉大学哲学学院,湖北武汉430072 [2]华中科技大学哲学系,湖北武汉430074

出　　处：《吉林师范大学学报（人文社会科学版）》2010年第3期1-4,共4页Journal Of Jilin Normal University:Humanities & Social Science Edition

摘　　要：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。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 the context of dialectical logic,the dialectical logic essence implicated in mathematics can be seen.

关 键 词：微积分 辩证逻辑 流动范畴 直线与曲线的同一 数学的辩证本性 

分 类 号：B027[哲学宗教—哲学理论]