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：2015
卷号：30
期号：3
页码：317-329
DOI：10.1387/theoria.14099
语种：English
出版社：UPV/EHU - University of the Basque Country
摘要：Taking as premises some intuitions about the essences of natural numbers, pluralities and sets, the paper offers an argument that the natural numbers could not be the “Zermelo numbers”, the “Von Neumann numbers”, the “Kripke numbers”, or the “positions in the ω-structure”, among other things. The argument’s conclusion is thus Benacerrafian in form, but it is emphasized that the argument is anti-Benacerrafian in substance, as it is perfectly compatible and in fact congenial with some views on which the numbers could be things of certain other kinds.
其他摘要：Taking as premises some intuitions about the essences of natural numbers, pluralities and sets, the paper offers an argument that the natural numbers could not be the “Zermelo numbers”, the “Von Neumann numbers”, the “Kripke numbers”, or the “positions in the ω-structure”, among other things. The argument’s conclusion is thus Benacerrafian in form, but it is emphasized that the argument is anti-Benacerrafian in substance, as it is perfectly compatible and in fact congenial with some views on which the numbers could be things of certain other kinds.
