Title of article :
On certain maximality principles
Author/Authors :
Mohammadpour ، R. - Amirkabir University of Technology
Abstract :
We present streamlined proofs of certain maximality principles studied by Hamkins and Woodin. Moreover, we formulate an intermediate maximality principle, which is shown here to be equiconsistent with the existence of a weakly compact cardinal κ such that Vκ ≺ V .
Keywords :
Hamkins’ maximality principle , weakly compact cardinal , consistency result.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society