No Measurable Cardinals in ZFC System

	International Journal of Mathematics Trends and Technology (IJMTT)
	© 2015 by IJMTT Journal
	Volume-27 Number-1
	Year of Publication : 2015
	Authors : C. Ganesa Moorthy
	10.14445/22315373/IJMTT-V27P506

C. Ganesa Moorthy "No Measurable Cardinals in ZFC System", International Journal of Mathematics Trends and Technology (IJMTT). V27(1):31-32 November 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
There is no measurable cardinal number in Zermelo-Fraenkel-Axiom of Choice system. This result is proved in the article.

References
[1] E. Harzheim, Ordered sets, Springer, New York, 2005.
[2] K. Kuratowski and A. Mostowski, Set theory with an introduction to descriptive set theory, Second edition, North-Holland Publ.,Warszawa,1976.

Keywords
measurable cardinals, ZFC system, lexicographic order