- 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
A Bizarre Property Equivalent To The -fan Theorem
Logic Journal of the IGPL 14 (6):867-871 (2006)
Abstract
It is shown, with intuitionistic logic, that if every locally constant function from to has a property akin to constancy, then the fan theorem for -bars holds, and converselyOther Versions
No versions found
My notes
Similar books and articles
A Weak Constructive Sequential Compactness Property And The Fan Theorem.Douglas Bridges - 2005 - Logic Journal of the IGPL 13 (2):151-158.
The Fan Theorem, its strong negation, and the determinacy of games.Wim Veldman - forthcoming - Archive for Mathematical Logic:1-66.
Semantical Completeness of First-Order Predicate Logic and the Weak Fan Theorem.Victor N. Krivtsov - 2015 - Studia Logica 103 (3):623-638.
A continuity principle equivalent to the monotone $$Pi ^{0}_{1}$$ fan theorem.Tatsuji Kawai - 2019 - Archive for Mathematical Logic 58 (3-4):443-456.
The Fan Theorem and Unique Existence of Maxima.Josef Berger, Douglas Bridges & Peter Schuster - 2006 - Journal of Symbolic Logic 71 (2):713 - 720.
Brouwer's fan theorem and unique existence in constructive analysis.Josef Berger & Hajime Ishihara - 2005 - Mathematical Logic Quarterly 51 (4):360-364.
Equivalents of the (weak) fan theorem.Iris Loeb - 2005 - Annals of Pure and Applied Logic 132 (1):51-66.
Weak König's Lemma Implies Brouwer's Fan Theorem: A Direct Proof.Hajime Ishihara - 2006 - Notre Dame Journal of Formal Logic 47 (2):249-252.
Compactness under constructive scrutiny.Hajime Ishihara & Peter Schuster - 2004 - Mathematical Logic Quarterly 50 (6):540-550.
Analytics
Added to PP
2015-02-04
Downloads
36 (#629,586)
6 months
3 (#1,473,720)
2015-02-04
Downloads
36 (#629,586)
6 months
3 (#1,473,720)
Historical graph of downloads
Citations of this work
Sequences of real functions on [0, 1] in constructive reverse mathematics.Hannes Diener & Iris Loeb - 2009 - Annals of Pure and Applied Logic 157 (1):50-61.
Lipschitz functions in constructive reverse mathematics.I. Loeb - 2013 - Logic Journal of the IGPL 21 (1):28-43.
A continuity principle equivalent to the monotone $$Pi ^{0}_{1}$$ fan theorem.Tatsuji Kawai - 2019 - Archive for Mathematical Logic 58 (3-4):443-456.
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-667477cd97-2pm92 dc2