THE PROSPECTS OF UNLIMITED CATEGORY THEORY: DOING WHAT REMAINS TO BE DONE

被引:6
作者
Ernst, Michael [1 ]
机构
[1] Univ Illinois, Dept Philosophy, Champaign, IL 61801 USA
关键词
D O I
10.1017/S1755020314000495
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The big question at the end of Feferman (2013) is: Is it possible to find a foundation for unlimited category theory? I show that the answer is no by showing that unlimited category theory is inconsistent.
引用
收藏
页码:306 / 327
页数:22
相关论文
共 21 条
[1]  
[Anonymous], LECT NOTES MATH
[2]  
[Anonymous], 2008, ELECTRON J COMB
[3]  
Bumby RichardT., 1986, International Journal of Mathematics and Mathematical Sciences, V9, P1, DOI DOI 10.1155/S0161171286000017
[4]  
Delhomme C., 2006, Rep. Math. Logic, V40, P165
[5]   GENERAL THEORY OF NATURAL EQUIVALENCES [J].
EILENBERG, S ;
MACLANE, S .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 58 (SEP) :231-294
[6]  
FEFERMAN S, 1969, LECT NOTES MATH, V106, P201
[7]   FOUNDATIONS OF UNLIMITED CATEGORY THEORY: WHAT REMAINS TO BE DONE [J].
Feferman, Solomon .
REVIEW OF SYMBOLIC LOGIC, 2013, 6 (01) :6-15
[8]  
Harary F., 1969, Graph Theory
[9]  
Kromer R, 2007, LECT NOTES MATH
[10]  
Lawvere F.W., 1966, P C CATEGORICAL ALGE, P1