Sets and Classes as Many

被引：0
|
作者：
John L. Bell
机构：
[1] University of Western Ontario Talbot College,Department of Philosophy
来源：
Journal of Philosophical Logic | 2000年 / 29卷
关键词：
set; class; individuals; label; colabel; nonwellfounded set theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper the view is developed that classes should not be understood as individuals, but, rather, as “classes as many” of individuals. To correlate classes with individuals “labelling” and “colabelling” functions are introduced and sets identified with a certain subdomain of the classes on which the labelling and colabelling functions are mutually inverse. A minimal axiomatization of the resulting system is formulated and some of its extensions are related to various systems of set theory, including nonwellfounded set theories.
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页码：585 / 601
页数：16
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