- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Cardinal transfer properties in extender models
Annals of Pure and Applied Logic 154 (3):163-190 (2008)
Abstract
We prove that if image is a Jensen extender model, then image satisfies the Gap-1 morass principle. As a corollary to this and a theorem of Jensen, the model image satisfies the Gap-2 Cardinal Transfer Property → for all infinite cardinals κ and λMy notes
Similar books and articles
Combinatorial principles in the core model for one Woodin cardinal.Ernest Schimmerling - 1995 - Annals of Pure and Applied Logic 74 (2):153-201.
Global square and mutual stationarity at the ℵn.Peter Koepke & Philip D. Welch - 2011 - Annals of Pure and Applied Logic 162 (10):787-806.
A gap 1 cardinal transfer theorem.Luis M. Villegas-Silva - 2006 - Mathematical Logic Quarterly 52 (4):340-350.
A Power Function with a Fixed Finite Gap Everywhere.Carmi Merimovich - 2007 - Journal of Symbolic Logic 72 (2):361 - 417.
Higher gap morasses, IA: Gap-two morasses and condensation.Charles Morgan - 1998 - Journal of Symbolic Logic 63 (3):753-787.
A consistency proof for some restrictions of Tait's reflection principles.Rupert McCallum - 2013 - Mathematical Logic Quarterly 59 (1-2):112-118.
Square in core models.Ernest Schimmerling & Martin Zeman - 2001 - Bulletin of Symbolic Logic 7 (3):305-314.
The internal consistency of Easton’s theorem.Sy-David Friedman & Pavel Ondrejovič - 2008 - Annals of Pure and Applied Logic 156 (2):259-269.
On Keisler singular‐like models.Shahram Mohsenipour - 2008 - Mathematical Logic Quarterly 54 (3):330-336.
N-Berkeley cardinals and weak extender models.Raffaella Cutolo - 2020 - Journal of Symbolic Logic 85 (2):809-816.
Analytics
Added to PP
2013-12-26
Downloads
22 (#166,999)
6 months
7 (#1,397,300)
2013-12-26
Downloads
22 (#166,999)
6 months
7 (#1,397,300)
Historical graph of downloads
Citations of this work
A characterization of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\square(\kappa^{+})}$$\end{document} in extender models. [REVIEW]Kyriakos Kypriotakis & Martin Zeman - 2013 - Archive for Mathematical Logic 52 (1-2):67-90.
References found in this work
Combinatorial principles in the core model for one Woodin cardinal.Ernest Schimmerling - 1995 - Annals of Pure and Applied Logic 74 (2):153-201.
The fine structure of the constructible hierarchy.R. Björn Jensen - 1972 - Annals of Mathematical Logic 4 (3):229.
Square in core models.Ernest Schimmerling & Martin Zeman - 2001 - Bulletin of Symbolic Logic 7 (3):305-314.
Characterization of □κin core models.Ernest Schimmerling & Martin Zeman - 2004 - Journal of Mathematical Logic 4 (01):1-72.
Inner models in the region of a Woodin limit of Woodin cardinals.Itay Neeman - 2002 - Annals of Pure and Applied Logic 116 (1-3):67-155.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-6686886f5-xdvnm uwo