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  • 标题:Some proposals for the set-theoretic foundations of category theory
  • 本地全文:下载
  • 作者:Lorenzo Malatesta
  • 期刊名称:Rivista Italiana di Filosofia Analitica Junior
  • 电子版ISSN:2037-4445
  • 出版年度:2011
  • 卷号:2
  • 期号:2
  • 页码:41-58
  • DOI:10.13130/2037-4445/1495
  • 语种:English
  • 出版社:Rivista Italiana di Filosofia Analitica Junior
  • 摘要:The problem of finding proper set-theoretic foundations forcategory theory has challenged mathematician since the very beginning. In this paper we give an analysis of some of the standard approaches that havebeen proposed in the past 70 years. By means of the central notions of class and universe we suggest a possible conceptual recasting of these proposals. We focus on the intended semantics for the (problematic) notion of large category in each proposed foundation. Following Feferman (2006) we give a comparison and evaluation of their expressive power.
  • 关键词:Category Theory; Set Theory; Foundations
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