一种处理集合论悖论的新方法

发布时间：2018-07-08 08:54

本文选题：罗素悖论 + 等值悖论　；参考：《哲学动态》2017年11期

【摘要】：本文介绍了一种处理集合论悖论的新方法——弗协调集合论。本文首先以罗素悖论和等值悖论为代表,考察了处理悖论的已有方法 ZF、NBG、NF、直觉主义;其次,从弗协调逻辑出发,分类概述了弗协调集合论的现状;最后,考察了弗协调集合论对罗素悖论和等值悖论的处理情况,证明弗协调集合论在处理集合论悖论方面是成功的。
[Abstract]:In this paper, a new method of dealing with the paradox of set theory is introduced. Taking Russell paradox and equivalent paradox as the representative, this paper investigates the existing methods of dealing with paradox, ZFNBGN NFF, intuitionism, secondly, from the logic of coordination, classifies and summarizes the present situation of Freund coordination set theory. The treatment of Russell's paradox and equivalent paradox by Freund's coordinated set theory is investigated. It is proved that the Freund's coordinated set theory is successful in dealing with the set theory's paradox.
【作者单位】：南开大学哲学院;
【基金】：国家社会科学基金重点项目“基于哲学逻辑的集合论研究”(16AZD036)资助
【分类号】：B812

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