{"title":"Plurals and Set Theory","authors":"Salvatore Florio, Øystein Linnebo","doi":"10.1093/oso/9780198791522.003.0004","DOIUrl":null,"url":null,"abstract":"What is the relation between some things and their set? This chapter begins with a formal comparison of plural logic and set theory, which clarifies an important technical aspect of the question. The chapter then turns to more philosophical issues, investigating whether pluralities should be eliminated in favor of sets or vice versa. Both attempted eliminations are rejected in favor of a view, inspired by Cantor, that retains both pluralities and sets, using the former to provide a metaphysical account of the latter.","PeriodicalId":232985,"journal":{"name":"The Many and the One","volume":"332 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Many and the One","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/oso/9780198791522.003.0004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
What is the relation between some things and their set? This chapter begins with a formal comparison of plural logic and set theory, which clarifies an important technical aspect of the question. The chapter then turns to more philosophical issues, investigating whether pluralities should be eliminated in favor of sets or vice versa. Both attempted eliminations are rejected in favor of a view, inspired by Cantor, that retains both pluralities and sets, using the former to provide a metaphysical account of the latter.
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