- 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
Wellfounded trees in categories
Annals of Pure and Applied Logic 104 (1-3):189-218 (2000)
Abstract
In this paper we present and study a categorical formulation of the W-types of Martin-Löf. These are essentially free term algebras where the operations may have finite or infinite arity. It is shown that W-types are preserved under the construction of sheaves and Artin gluing. In the proofs we avoid using impredicative or nonconstructive principlesLinks
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
Non-wellfounded Mereology.Aaron J. Cotnoir & Andrew Bacon - 2012 - Review of Symbolic Logic 5 (2):187-204.
On Non-wellfounded Sets as Fixed Points of Substitutions.Matti Pauna - 2001 - Notre Dame Journal of Formal Logic 42 (1):23-40.
Projective prewellorderings vs projective wellfounded relations.Xianghui Shi - 2009 - Journal of Symbolic Logic 74 (2):579-596.
The concept of strong and weak virtual reality.Andreas Martin Lisewski - 2006 - Minds and Machines 16 (2):201-219.
The construction of ontological categories.Jan Westerhoff - 2004 - Australasian Journal of Philosophy 82 (4):595 – 620.
Non-well-founded trees in categories.Benno van den Berg & Federico De Marchi - 2007 - Annals of Pure and Applied Logic 146 (1):40-59.
Minimal models of Heyting arithmetic.Ieke Moerdijk & Erik Palmgren - 1997 - Journal of Symbolic Logic 62 (4):1448-1460.
On Scott and Karp trees of uncountable models.Tapani Hyttinen & Jouko Väänänen - 1990 - Journal of Symbolic Logic 55 (3):897-908.
Computable Trees of Scott Rank [image] , and Computable Approximation.Wesley Calvert, Julia F. Knight & Jessica Millar - 2006 - Journal of Symbolic Logic 71 (1):283 - 298.
Trees of life: a visual history of evolution.Theodore W. Pietsch - 2012 - Baltimore: Johns Hopkins University Press.
Uniformization, choice functions and well orders in the class of trees.Shmuel Lifsches & Saharon Shelah - 1996 - Journal of Symbolic Logic 61 (4):1206-1227.
Computable Trees of Scott Rank $\omega _{1}^{\mathit{CK}}$ , and Computable Approximation.Wesley Calvert, Julia F. Knight & Jessica Millar - 2006 - Journal of Symbolic Logic 71 (1):283 - 298.
Analytics
Added to PP
2014-01-16
Downloads
52 (#299,806)
6 months
7 (#411,886)
2014-01-16
Downloads
52 (#299,806)
6 months
7 (#411,886)
Historical graph of downloads
Citations of this work
Type theories, toposes and constructive set theory: predicative aspects of AST.Ieke Moerdijk & Erik Palmgren - 2002 - Annals of Pure and Applied Logic 114 (1-3):155-201.
Heyting-valued interpretations for constructive set theory.Nicola Gambino - 2006 - Annals of Pure and Applied Logic 137 (1-3):164-188.
A minimalist two-level foundation for constructive mathematics.Maria Emilia Maietti - 2009 - Annals of Pure and Applied Logic 160 (3):319-354.
A brief introduction to algebraic set theory.Steve Awodey - 2008 - Bulletin of Symbolic Logic 14 (3):281-298.
References found in this work
Fibered categories and the foundations of naive category theory.Jean Bénabou - 1985 - Journal of Symbolic Logic 50 (1):10-37.
Forcing in intuitionistic systems without power-set.R. J. Grayson - 1983 - Journal of Symbolic Logic 48 (3):670-682.
Intuitionistic choice and classical logic.Thierry Coquand & Erik Palmgren - 2000 - Archive for Mathematical Logic 39 (1):53-74.
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-7c76586df8-hc2g5 uwo