《集合论初步》与集合论在中国的早期传播

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中图分类号：K5；013 文献标识码：A 文章编号：2095-6916（2026）08-0150-05

Introduction to Set Theory and the Early Dissemination of Set Theory in China

Su RinaSun Lei （HulunbuirUniversity，Hulunbuir O21008）

Abstract：SettheorywasfoundedbytheGermanmathematician Cantorinthelate19thcenturyandwasintroduced toChina inthe 1920s.ThispaperarguesthatZhang Shenfu’slectureonsettheoryatPeking Universityin1918，togetherwiththe192 translationof Rusel' troductiontoatematicalilosopybFuZongsunandZangBangminglaidefoundationforteearlyeatiof settheoryinCina.In939，XiaoWencan’stroductiontoSetTeorywaspublised，ecoingthefistsystematicworkosetoy China.Thebokcoverscoretopicsofnaivesettheory，includingbasicconceptsofsets，countableanduncountablesets，cardinal numbers，andorderedsets.DrawingonclasicworksbyHausdorff，Cantor，andrelevantJapanesescholarship，itachievesabalance betweenaccessbilityandacademicfrontrsTisokprovidedeentiallaingmaterialsforyoungscholarsofthetie.Itotonly advancedtheearlydiseminationofsetteoryinChinabutalsolaidtefoundationforsettheoryresearhinChinaholdingsignificant historical value for the establishment and development of modern mathematics in China.

Keywords： set theory; Introduction to Set Theory; Xiao Wencan;modern mathematics;science communication

19 世纪末，德国数学家康托尔（Georg Cantor，1845—1918）创立了集合论，这一理论的发展历程可划分为两个关键阶段：1908年是重要分界点，此前的理论被称为“朴素集合论”；1908年后，通过公理体系对集合概念进行约束与定义，形成了“公理集合论”。（剩余5818字）