{"title":"POINCARÉ-WEYL’S PREDICATIVITY: GOING BEYOND","authors":"A. Avron","doi":"10.1017/bsl.2024.2","DOIUrl":null,"url":null,"abstract":". On the basis of Poincar´e and Weyl’s view of predicativity as invariance, we develop an extensive framework for predicative, type-free first-order set theory in which Γ 0 and much bigger ordinals can be defined as von-Neumann ordinals. This refutes the accepted view of Γ 0 as the “limit of predicativity”.","PeriodicalId":22265,"journal":{"name":"The Bulletin of Symbolic Logic","volume":"64 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Bulletin of Symbolic Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/bsl.2024.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
. On the basis of Poincar´e and Weyl’s view of predicativity as invariance, we develop an extensive framework for predicative, type-free first-order set theory in which Γ 0 and much bigger ordinals can be defined as von-Neumann ordinals. This refutes the accepted view of Γ 0 as the “limit of predicativity”.
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