IJPAM: Volume 66, No. 2 (2011)

SOME NEW AXIOMS FOR SET THEORY

Martin Dowd
1613 Wintergreen Pl.
Costa Mesa, CA 92626, USA
e-mail: [email protected]


Abstract.It is suggested that new axioms can be added to ZFC by proceeding cautiously. Some examples are given, together with justifications. A discussion of $V=L$ is also given.

Received: September 25, 2010

AMS Subject Classification: 03E55

Key Words and Phrases: axioms of set theory, collecting the universe, inaccessible cardinals, Mahlo cardinals

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 66
Issue: 2