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  • 标题:The geometrical basis of arithmetical knowledge: Frege & Dehaene
  • 作者:Sorin Costreie
  • 期刊名称:THEORIA. An International Journal for Theory, History and Foundations of Science
  • 印刷版ISSN:2171-679X
  • 出版年度:2018
  • 卷号:33
  • 期号:2
  • 页码:361-370
  • DOI:10.1387/theoria.18089
  • 语种:English
  • 出版社:UPV/EHU - University of the Basque Country
  • 摘要:Frege writes in Numbers and Arithmetic about kindergarten-numbers and “an a priori mode of cognition” that they may have “a geometrical source.” This resembles recent findings on arithmetical cognition. In my paper, I explore this resemblance between Gottlob Frege’s later position concerning the geometrical source of arithmetical knowledge, and some current positions in the literature dedicated to arithmetical cognition, especially that of Stanislas Dehaene. In my analysis, I shall try to mainly see to what extent (Frege’s) logicism is compatible with (Dehaene’s) intuitionism .
  • 其他关键词:logicism; intuitionism; Frege; Dehaene; arithmetical cognition
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