{"title":"Mathematical magnitudes","authors":"H. Manev","doi":"10.12988/imf.2021.912250","DOIUrl":null,"url":null,"abstract":"It is shown how the strictly determined countable infinite cardinality aleph-null א0 of the countable infinite set of the natural numbers N is used as unit of measurement for determined the cardinality of the different countable infinite sets. This enable to be proved that the cardinality אq of the set of the rational numbers Q is bigger than the cardinality א0 of the set of the natural numbers N. Mathematics Subject Classification: 03Exx, 03E47","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematical Forum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/imf.2021.912250","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
It is shown how the strictly determined countable infinite cardinality aleph-null א0 of the countable infinite set of the natural numbers N is used as unit of measurement for determined the cardinality of the different countable infinite sets. This enable to be proved that the cardinality אq of the set of the rational numbers Q is bigger than the cardinality א0 of the set of the natural numbers N. Mathematics Subject Classification: 03Exx, 03E47