{"title":"用(N,R)的条件子集与(N,R)的对角论证应用Cantor对角论证对Hilbert第一问题的可能解","authors":"Rajah Iyer","doi":"10.5121/mathsj.2023.10203","DOIUrl":null,"url":null,"abstract":"We present herein a new approach to the Continuum hypothesis CH. We will employ a string conditioning, a technique that limits the range of a string over some of its sub-domains for forming subsets K of R. We will prove that these are well defined and in fact proper subsets of R by making use of Cantor’s Diagonal argument in its original form to establish the cardinality of K between that of (N,R) respectively","PeriodicalId":276601,"journal":{"name":"Applied Mathematics and Sciences An International Journal (MathSJ)","volume":"121 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Possible Resolution to Hilbert’s first Problem by Applying Cantor’s Diagonal Argument with Conditioned Subsets of R, With That of (N,R)\",\"authors\":\"Rajah Iyer\",\"doi\":\"10.5121/mathsj.2023.10203\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present herein a new approach to the Continuum hypothesis CH. We will employ a string conditioning, a technique that limits the range of a string over some of its sub-domains for forming subsets K of R. We will prove that these are well defined and in fact proper subsets of R by making use of Cantor’s Diagonal argument in its original form to establish the cardinality of K between that of (N,R) respectively\",\"PeriodicalId\":276601,\"journal\":{\"name\":\"Applied Mathematics and Sciences An International Journal (MathSJ)\",\"volume\":\"121 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics and Sciences An International Journal (MathSJ)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5121/mathsj.2023.10203\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Sciences An International Journal (MathSJ)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5121/mathsj.2023.10203","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Possible Resolution to Hilbert’s first Problem by Applying Cantor’s Diagonal Argument with Conditioned Subsets of R, With That of (N,R)
We present herein a new approach to the Continuum hypothesis CH. We will employ a string conditioning, a technique that limits the range of a string over some of its sub-domains for forming subsets K of R. We will prove that these are well defined and in fact proper subsets of R by making use of Cantor’s Diagonal argument in its original form to establish the cardinality of K between that of (N,R) respectively
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