数学统一于结构吗?——布尔巴基学派的结构主义与后现代解构  

Is Mathematics Unified in Structure?——Bourbaki School's Structuralism and Postmodern Deconstruction

作　　者：张俊青[1] 

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《武汉理工大学学报（社会科学版）》2011年第4期578-581,共4页Journal of Wuhan University of Technology:Social Sciences Edition

基　　金：山西省高等学校哲学社会科学研究项目(200922040)

摘　　要：布尔巴基学派的主要思想是用数学结构这一概念来统一划分数学,并用公理化方法演绎整个数学体系,其本质是认为数学理论统一于结构。这是典型的现代性思维范式,也正是后现代主义者所批判的基础主义、本质主义在数学中的具体表现。由于结构主义观点不重视特殊的数学技巧和具体的计算,其理论体系也就难以涉及需要大量特殊证明方法和计算技术的领域,不符合当代数学发展的实际。Bourbaki School＇s idea is mainly to divide uniformly mathematics by the concept of mathematical structure,and deduct the mathematical system by the axiomatic method.Its essence is that the mathematical theory unifies in structure,and it is a typical pattern of modernity.This view is the concrete expression of the Fundamentalism and Essentialism in mathematics,which is criticized by the post-modernists.As the views of structuralism don＇t attach importance to the special mathematical skills and practical calculation,it is difficult to concern a large number of fields which demand the special methods and computing technology,and it isn＇t in line with the actual development of contemporary mathematics.

关 键 词：布尔巴基学派 结构主义 后现代主义 

分 类 号：N031[自然科学总论—科学技术哲学]