数学的裂变——基于后现代的视阈  

Post-modern Perspective of Modern Mathematics

作　　者：张俊青[1] 王保红[2] 

机构地区：[1]长治学院数学系,山西长治046011 [2]山西大学科学技术哲学研究中心,山西太原030006

出　　处：《哈尔滨工业大学学报（社会科学版）》2010年第2期8-13,共6页Journal of Harbin Institute 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：非欧几何的诞生瓦解了人们关于数学是客观真理的神圣信念,使数学从物质世界的束缚中解放出来;数学直觉主义和哥德尔不完全定理从正、反两个侧面说明数学形式理论内在的局限性,数学命题的逻辑真也是可望而不可即。数学的这两次自我解构与后来出现的后现代主义思潮的反叛精神不谋而合。由此,具有统一性、普遍性特征的经典数学发生裂变,呈现出内容多元化、方法多样化和研究对象边缘化的后现代主义特征。The birth of non-Euclidean geometry collapsed people＇s holy faith that mathematic truth is objective,so that mathematics was emancipated from the material world. G？ del＇s incompleteness theorem and mathematical intuitionism show that there is an inherent limitation in the mathematical formal theory from the opposite two sides and that the mathematical proposition is really elusive as a logic truth. The two self-deconstructions of mathematics happen to coincide with the rebellious spirit of the post-modernist trend. Thus,the classic mathematics goes to split from the Characteristics of the unity and universality to the Post-modern trend,showing that the content is diverse,the method is different and the object of study is non-centralized.

关 键 词：数学哲学 后现代主义 非欧几何 数学基础运动 

分 类 号：N031[自然科学总论—科学技术哲学]