关于数学史的三大误解  

Three Misconceptions about History of Mathematics

作　　者：朱一文 ZHU Yi-wen(Department of Philosophy&Institute of Logic and Cognition,Sun Yat-sen University,Guangzhou 510275,China)

机构地区：[1]中山大学哲学系暨逻辑与认知研究所,广州510275

出　　处：《自然辩证法研究》2022年第11期88-93,共6页Studies in Dialectics of Nature

基　　金：广东省研究生教育创新计划项目之学位与研究生教育改革研究项目“科学史与科学哲学融合教学的理论与实践”(2022JGXM002)。

摘　　要：国内学术界普遍存在关于数学史的三大误解:历史上有三次数学危机、数系的扩张代表着数学的进步、现代数学是西方数学。这些误解均默认了累积进步与西方中心主义的数学史观,抹杀了包括中国数学在内的非西方数学文明对现代数学的贡献。因此,我们应该采取数学史是诸文明接力的立场,揭示各文明在历史不同阶段对数学发展的贡献,由此凸显人类是一个命运共同体。从理论上看,对三大误解的澄清有助于推进数学哲学与李约瑟问题之研究。There are three misconceptions about the history of mathematics in the Chinese scholarly community. First, there are three mathematical crises in the history of mathematics;second, the expansions of number systems represent the progress of mathematics;third, modern mathematics is western mathematics. These misconceptions lie in the adoption of the cumulative and progressive view and Western centrism of mathematical history, which overlooks the contribution of non-Western mathematical civilizations to modern mathematics. Therefore, we should take the position that the history of mathematics is the relay of various civilizations, and reveal the contribution of various civilizations to the development of mathematics at different stages of history, so as to highlight that mankind is a community of destiny. From the theoretical perspective, the clarification of the three misconceptions will help us to promote the research of mathematical philosophy and Needham question.

关 键 词：数学史 数学危机 数系扩张 现代数学 李约瑟问题 

分 类 号：N031[自然科学总论—科学技术哲学]