- 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
Orders of Indescribable Sets
Archive for Mathematical Logic 45 (6):705-714 (2006)
Abstract
We extract some properties of Mahlo’s operation and show that some other very natural operations share these properties. The weakly compact sets form a similar hierarchy as the stationary sets. The height of this hierarchy is a large cardinal property connected to saturation properties of the weakly compact idealMy notes
Similar books and articles
On splitting stationary subsets of large cardinals.James E. Baumgartner, Alan D. Taylor & Stanley Wagon - 1977 - Journal of Symbolic Logic 42 (2):203-214.
A Remark on Weakly Compact Cardinals.Tapani Hyttinen - 2002 - Mathematical Logic Quarterly 48 (3):397-402.
Two weak consequences of 0#. [REVIEW]M. Gitik, M. Magidor & H. Woodin - 1985 - Journal of Symbolic Logic 50 (3):597 - 603.
Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata.J. D. Hamkins & A. W. Apter - 2001 - Mathematical Logic Quarterly 47 (4):563-572.
An ideal characterization of mahlo cardinals.Qi Feng - 1989 - Journal of Symbolic Logic 54 (2):467-473.
Inner models with large cardinal features usually obtained by forcing.Arthur W. Apter, Victoria Gitman & Joel David Hamkins - 2012 - Archive for Mathematical Logic 51 (3-4):257-283.
Proper forcing extensions and Solovay models.Joan Bagaria & Roger Bosch - 2004 - Archive for Mathematical Logic 43 (6):739-750.
Successive weakly compact or singular cardinals.Ralf-Dieter Schindler - 1999 - Journal of Symbolic Logic 64 (1):139-146.
Located sets and reverse mathematics.Mariagnese Giusto & Stephen G. Simpson - 2000 - Journal of Symbolic Logic 65 (3):1451-1480.
Analytics
Added to PP
2013-12-01
Downloads
15 (#969,592)
6 months
4 (#851,472)
2013-12-01
Downloads
15 (#969,592)
6 months
4 (#851,472)
Historical graph of downloads
Citations of this work
The weakly compact reflection principle need not imply a high order of weak compactness.Brent Cody & Hiroshi Sakai - 2020 - Archive for Mathematical Logic 59 (1-2):179-196.
Forcing a □(κ)-like principle to hold at a weakly compact cardinal.Brent Cody, Victoria Gitman & Chris Lambie-Hanson - 2021 - Annals of Pure and Applied Logic 172 (7):102960.
Adding a Nonreflecting Weakly Compact Set.Brent Cody - 2019 - Notre Dame Journal of Formal Logic 60 (3):503-521.
Generalisations of stationarity, closed and unboundedness, and of Jensen's □.H. Brickhill & P. D. Welch - 2023 - Annals of Pure and Applied Logic 174 (7):103272.
References found in this work
On splitting stationary subsets of large cardinals.James E. Baumgartner, Alan D. Taylor & Stanley Wagon - 1977 - Journal of Symbolic Logic 42 (2):203-214.
A note on extensions of infinitary logic.Saharon Shelah & Jouko Väänänen - 2005 - Archive for Mathematical Logic 44 (1):63-69.
A Remark on Weakly Compact Cardinals.Tapani Hyttinen - 2002 - Mathematical Logic Quarterly 48 (3):397-402.
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-8fb5884b9-q5nzd uwo