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  • 标题:What is to believe in a mathematical assertion
  • 本地全文:下载
  • 作者:Luca San Mauro ; Giorgio Venturi
  • 期刊名称:Rivista Italiana di Filosofia del Linguaggio
  • 电子版ISSN:2036-6728
  • 出版年度:2021
  • 卷号:15
  • 期号:1
  • DOI:10.4396/2021060V4
  • 语种:English
  • 出版社:University of Calabria
  • 摘要:In this brief article we present the following paradox: one cannot assume that mathematicians are trustworthy when they express their mathematical (dis)beliefs, while also maintaining four basic theses about natural and mathematical language. We carefully present the very natural hypotheses on which this paradox is based and then we show how to deduce the paradox from these assumptions. We end by presenting the possible ways in which one can reject the paradox, together with their conceptual implications.
  • 关键词:Mathematical language;Assertions;Mathematical beliefs;Naturalism in mathematics;Doxastic paradox
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