Graduate studies at Western
Journal of Symbolic Logic 74 (3):1015-1046 (2009)
|Abstract||The motivation for this paper is the following: In  I showed that it is inconsistent with ZFC that the Maximality Principle for directed closed forcings holds at unboundedly many regular cardinals κ (even only allowing κ itself as a parameter in the Maximality Principle for < κ -closed forcings each time). So the question is whether it is consistent to have this principle at unboundedly many regular cardinals or at every regular cardinal below some large cardinal κ (instead of ∞), and if so. how strong it is. It turns out that it is consistent in many cases, but the consistency strength is quite high|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Joel David Hamkins (1999). Gap Forcing: Generalizing the Lévy-Solovay Theorem. Bulletin of Symbolic Logic 5 (2):264-272.
Jouko Väänänen (1982). Abstract Logic and Set Theory. II. Large Cardinals. Journal of Symbolic Logic 47 (2):335-346.
Gunter Fuchs (2008). Closed Maximality Principles: Implications, Separations and Combinations. Journal of Symbolic Logic 73 (1):276-308.
Andrés Villaveces (1998). Chains of End Elementary Extensions of Models of Set Theory. Journal of Symbolic Logic 63 (3):1116-1136.
Joel David Hamkins (2003). A Simple Maximality Principle. Journal of Symbolic Logic 68 (2):527-550.
Itay Neeman & Jindřich Zapletal (2001). Proper Forcing and L(ℝ). Journal of Symbolic Logic 66 (2):801-810.
Ralf-Dieter Schindler (2001). Proper Forcing and Remarkable Cardinals II. Journal of Symbolic Logic 66 (3):1481-1492.
Natasha Dobrinen & Sy-David Friedman (2006). Co-Stationarity of the Ground Model. Journal of Symbolic Logic 71 (3):1029 - 1043.
Stephen H. Hechler (2001). On Consistent Subsets of Large Sets of Satisfiable Sentences. Studia Logica 69 (3):339-349.
Theodore Sider (2001). Maximality and Intrinsic Properties. Philosophy and Phenomenological Research 63 (2):357 - 364.
Theodore Sider (2003). Maximality and Microphysical Supervenience. Philosophy and Phenomenological Research 66 (1):139-149.
Ralf-Dieter Schindler (1999). Successive Weakly Compact or Singular Cardinals. Journal of Symbolic Logic 64 (1):139-146.
Arthur W. Apter & Joel David Hamkins (2003). Exactly Controlling the Non-Supercompact Strongly Compact Cardinals. Journal of Symbolic Logic 68 (2):669-688.
Added to index2010-09-12
Total downloads3 ( #214,063 of 740,143 )
Recent downloads (6 months)1 ( #61,960 of 740,143 )
How can I increase my downloads?