Why the Axiom of Choice Sometimes Fails

被引：0
|
作者：
Victoria Pallares-Vega, Ivonne [1 ]
机构：
[1] Univ Autonoma Estado Morelos, Ctr Interdisciplinario Invest Humanidades, Cuernavaca 62210, Morelos, Mexico
来源：
LOGIC JOURNAL OF THE IGPL | 2020年 / 28卷 / 06期
关键词：
abstract sets (category of); axiom of choice; epimorphisms; section maps; variable sets;
D O I：
10.1093/jigpal/jzaa005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The early controversies surrounding the axiom of choice are well known, as are the many results that followed concerning its (in)dependence from, and equivalence to, other mathematical propositions. This paper focuses not on the logical status of the axiom but rather on showing why it fails in certain categories.
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页码：1207 / 1217
页数：11
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