TY  - JOUR
AB  - Purpose– The paper aims to show using a different method that any uncountable set is a self‐contradictory non‐set.Design/methodology/approach– The paper discusses the concept.Findings– Elsewhere it is shown that in the framework of ZFC, various countable infinite sets are all self‐contradicting non‐sets. In this paper, the authors will generalize the concept of Cauchy theater, and establish the concept of transfinite Cauchy theaters. After that, employing a new method, they will prove that various uncountable infinite sets, as studied in naive set theory and modern axiomatic set theory, are also self‐contradicting non‐sets.Originality/value– The concept of general Cauchy theater is introduced.
VL  - 37
IS  - 3/4
SN  - 0368-492X
DO  - 10.1108/03684920810863435
UR  - https://doi.org/10.1108/03684920810863435
AU  - Zhu Wujia
AU  - Lin Yi
AU  - Du Guoping
AU  - Gong Ningsheng
ED  - Yi Lin
PY  - 2008
Y1  - 2008/01/01
TI  - Modern system of mathematics and general Cauchy theater in its theoretical foundation
T2  - Kybernetes
PB  - Emerald Group Publishing Limited
SP  - 465
EP  - 468
Y2  - 2024/09/20
ER  -