{"title":"一个新的公理化集合论的基础","authors":"A. Vdovin","doi":"10.1070/IM1991V037N02ABEH002074","DOIUrl":null,"url":null,"abstract":"A new axiomatic set theory, consisting of four axioms, is presented. In this theory one can prove as theorems all of the axioms of Zermelo-Fraenkel set theory with the axiom of choice (ZFC), except for the axiom of regularity.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"FOUNDATIONS OF A NEW AXIOMATIC SET THEORY\",\"authors\":\"A. Vdovin\",\"doi\":\"10.1070/IM1991V037N02ABEH002074\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new axiomatic set theory, consisting of four axioms, is presented. In this theory one can prove as theorems all of the axioms of Zermelo-Fraenkel set theory with the axiom of choice (ZFC), except for the axiom of regularity.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1991V037N02ABEH002074\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V037N02ABEH002074","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new axiomatic set theory, consisting of four axioms, is presented. In this theory one can prove as theorems all of the axioms of Zermelo-Fraenkel set theory with the axiom of choice (ZFC), except for the axiom of regularity.
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