No Measurable Cardinals in ZFC System

C. Ganesa Moorthy

doi:https://doi.org/10.14445/22315373/IJMTT-V27P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 27 | Number 1 | Year 2015 | Article Id. IJMTT-V27P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V27P506

No Measurable Cardinals in ZFC System

C. Ganesa Moorthy

Abstract

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

Keywords

measurable cardinals, ZFC system, lexicographic order

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.

Citation :

C. Ganesa Moorthy, "No Measurable Cardinals in ZFC System," International Journal of Mathematics Trends and Technology (IJMTT), vol. 27, no. 1, pp. 31-32, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V27P506