- 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
Atomless varieties
Journal of Symbolic Logic 68 (2):607-614 (2003)
Abstract
We define a nontrivial variety of boolean algebras with operators such that every member of the variety is atomless. This shows that not every variety of boolean algebras with operators is generated by its atomic members, and thus establishes a strong incompleteness result in (multi-)modal logicAuthor's Profile
Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Sign in / register and customize your OpenURL resolver
- Configure custom resolver
My notes
Similar books and articles
Sahlqvist's theorem for Boolean algebras with operators with an application to cylindric algebras.Maarten de Rijke & Yde Venema - 1995 - Studia Logica 54 (1):61-78.
Persistence and atomic generation for varieties of Boolean algebras with operators.Robert Goldblatt - 2001 - Studia Logica 68 (2):155-171.
On some small cardinals for Boolean algebras.Ralph Mckenzie & J. Donald Monk - 2004 - Journal of Symbolic Logic 69 (3):674-682.
Regular subalgebras of complete Boolean algebras.Aleksander Błaszczyk & Saharon Shelah - 2001 - Journal of Symbolic Logic 66 (2):792-800.
Abelian Logic and the Logics of Pointed Lattice-Ordered Varieties.Francesco Paoli, Matthew Spinks & Robert Veroff - 2008 - Logica Universalis 2 (2):209-233.
Sahlqvist's Theorem for Boolean Algebras with Operators with an Application to Cylindric Algebras.Maarten De Rijke & Yde Venema - 1995 - Studia Logica 54 (1):61 - 78.
Decidability problem for finite Heyting algebras.Katarzyna Idziak & Pawel M. Idziak - 1988 - Journal of Symbolic Logic 53 (3):729-735.
Analytics
Added to PP
2009-01-28
Downloads
40 (#394,649)
6 months
3 (#974,323)
2009-01-28
Downloads
40 (#394,649)
6 months
3 (#974,323)
Historical graph of downloads
Author's Profile
Citations of this work
Complete additivity and modal incompleteness.Wesley H. Holliday & Tadeusz Litak - 2019 - Review of Symbolic Logic 12 (3):487-535.
References found in this work
Varieties of complex algebras.Robert Goldblatt - 1989 - Annals of Pure and Applied Logic 44 (3):173-242.
Persistence and atomic generation for varieties of Boolean algebras with operators.Robert Goldblatt - 2001 - Studia Logica 68 (2):155-171.
Advances in Modal Logic, Vol. 1.Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev - 2000 - Studia Logica 65 (3):440-442.
Atomic incompleteness or how to kill one bird with two stones.Marcus Kracht & Tomasz Kowalski - 2001 - Bulletin of the Section of Logic 30 (2):71-78.
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-659b74868d-9pr2t uwo