Browse > Article

A Postulate for Set Theory  

Chung, Se-Hwa (Department of Mathematics and Information, Gachon University)
Publication Information
Journal for History of Mathematics / v.25, no.1, 2012 , pp. 29-43 More about this Journal
Abstract
In this paper, we survey the history of search for axiomatic set theory and show that ${\exists}U(0{\in}U{\wedge}{\forall}x(x{\in}U{\leftrightarrow}{\exists}z(z{\in}U{\wedge}{\forall}y(y{\in}x{\rightarrow}y{\subseteq}z))){\rightarrow}$ ZR.
Keywords
Universe; Neumann universe; Ordinal number;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 박창균, 직관주의, 한국수학사학회지, 10(1997), No. 2, pp. 82-88.
2 吉永良正/임승원 옮김, 불완전성 정리, 전파과학사, 2000.
3 현우식, 칸토르의 수학 속의 신학, 한국수학사학회지, 24(2011) No. 3, pp. 13-21.
4 홍성사, 선택공리와 19세기 수학, 한국수학사학회지 9(1996), No. 2, pp. 1-11.
5 K. Hrbacek and T. Jech, Introduction to Set Theory, Marcel Pekker, Inc., 1984.
6 T. Jech, Set Theory, Springer-Verlag Berlin Heidelberg, 2003.
7 J. L. Kelley, General Toplogy, Van Nostrand, Princeton, 1955.
8 E. Mendelson, Introduction to Mathematical Logic, 2nd ed. D. Van Nostrand, 1979.
9 G. H. Moore, Zermelo's Axiom of Choice: Its origins, Development, and Influence, Springer-Verlag Berlin Heidelberg, 1982.
10 C. C. Pinter, Set Theory, Addison-Wesley, 1971.
11 R. L. Vaught, Set Theory, Birkhauser, 1926.