{"title":"对两个悖论的新解释","authors":"H. Manev","doi":"10.12988/imf.2021.912297","DOIUrl":null,"url":null,"abstract":"The notion of a standard defined set is introduced on the basis of which the reasons for the emergence of Russell's paradox are explained. The current description of Hilbert's paradox has been compared with two new descriptions made on substantially different other grounds. Mathematics Subject Classifications: 03Bxx; 03B99","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"59 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New explanation of two paradoxes\",\"authors\":\"H. Manev\",\"doi\":\"10.12988/imf.2021.912297\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The notion of a standard defined set is introduced on the basis of which the reasons for the emergence of Russell's paradox are explained. The current description of Hilbert's paradox has been compared with two new descriptions made on substantially different other grounds. Mathematics Subject Classifications: 03Bxx; 03B99\",\"PeriodicalId\":107214,\"journal\":{\"name\":\"International Mathematical Forum\",\"volume\":\"59 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Mathematical Forum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/imf.2021.912297\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematical Forum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/imf.2021.912297","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The notion of a standard defined set is introduced on the basis of which the reasons for the emergence of Russell's paradox are explained. The current description of Hilbert's paradox has been compared with two new descriptions made on substantially different other grounds. Mathematics Subject Classifications: 03Bxx; 03B99