“集合”由来演化的哲学思考  

Philosophic Analysis of Evolution of Set Theory

作　　者：王汝发[1] 陈建兰[2] 

机构地区：[1]甘肃政法学院计算机学院,甘肃兰州730070 [2]甘肃省科学院情报资料室,甘肃兰州730000

出　　处：《兰州大学学报（社会科学版）》2003年第6期78-82,共5页Journal of Lanzhou University（Social Sciences）

摘　　要：“集合”已成为现代数学的核心概念 ,它是人类认识事物、现象等的一种模式。迄今科学家们提出了三种重要的集合概念 :Cantor集合、 Fuzzy集合、 Extension集合 ,在每一种集合上建立一种数学 ,集合之拓广推动了数学的长足发展。建立在 Extension集合之上的可拓数学既是辩证思维方法的某种创新 ,也是科学方法论的创新 ,开辟了运用数学语言、数字符号描述事物可变性的途径和方法。对正确认识客观事物可变性的哲学意蕴 ,以辩证的思维观。As a method used to understand objects and phenomena,set has become a key subject of modern mathematics.Set has been classified into the following three types: Cantor set,fuzzy set and extension set.The mathematical expansion for each set theory is considered as a great contribution for the development of mathematics.Extension mathematics based on extension set theory provides an approach to describe the variability of objects using mathematical languages and symbols.It gives us a new way to understand the objects and things dialectically and scientifically.There exists a great significance in studying extension mathematics in a dialectic and scientific way.

关 键 词：CANTOR集合 FUZZY集合 Extension集合 数学哲学 

分 类 号：O186.14[理学—数学]