- 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
Every countably presented formal topology is spatial, classically
Journal of Symbolic Logic 71 (2):491-500 (2006)
Abstract
By using some classical reasoning we show that any countably presented formal topology, namely, a formal topology with a countable axiom set, is spatialLinks
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
Disasters in topology without the axiom of choice.Kyriakos Keremedis - 2001 - Archive for Mathematical Logic 40 (8):569-580.
On the formal points of the formal topology of the binary tree.Silvio Valentini - 2002 - Archive for Mathematical Logic 41 (7):603-618.
Inductively generated formal topologies.Thierry Coquand, Giovanni Sambin, Jan Smith & Silvio Valentini - 2003 - Annals of Pure and Applied Logic 124 (1-3):71-106.
Reverse Mathematics and Π 1 2 Comprehension.Carl Mummert & Stephen G. Simpson - 2005 - Bulletin of Symbolic Logic 11 (3):526-533.
Formal Zariski topology: positivity and points.Peter Schuster - 2006 - Annals of Pure and Applied Logic 137 (1-3):317-359.
Vagueness, Kant and Topology: a Study of Formal Epistemology.Giovanni Boniolo & Silvio Valentini - 2008 - Journal of Philosophical Logic 37 (2):141-168.
The axiom of choice in topology.Norbert Brunner - 1983 - Notre Dame Journal of Formal Logic 24 (3):305-317.
Aspects of general topology in constructive set theory.Peter Aczel - 2006 - Annals of Pure and Applied Logic 137 (1-3):3-29.
Analytics
Added to PP
2010-08-24
Downloads
44 (#351,290)
6 months
14 (#254,662)
2010-08-24
Downloads
44 (#351,290)
6 months
14 (#254,662)
Historical graph of downloads
Citations of this work
Cantor theorem and friends, in logical form.Silvio Valentini - 2013 - Annals of Pure and Applied Logic 164 (4):502-508.
Constructive characterizations of bar subsets.Silvio Valentini - 2007 - Annals of Pure and Applied Logic 145 (3):368-378.
Objects: A Study in Kantian Formal Epistemology.Giovanni Boniolo & Silvio Valentini - 2012 - Notre Dame Journal of Formal Logic 53 (4):457-478.
Independence results in formal topology.Silvio Valentini - 2012 - Annals of Pure and Applied Logic 163 (2):151-156.
References found in this work
Inductively generated formal topologies.Thierry Coquand, Giovanni Sambin, Jan Smith & Silvio Valentini - 2003 - Annals of Pure and Applied Logic 124 (1-3):71-106.
The problem of the formalization of constructive topology.Silvio Valentini - 2005 - Archive for Mathematical Logic 44 (1):115-129.
An Intuitionistic Version of Cantor's Theorem.Dario Maguolo & Silvio Valentini - 1996 - Mathematical Logic Quarterly 42 (1):446-448.
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