- 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 Note on Recursive Models of Set Theories
Notre Dame Journal of Formal Logic 42 (2):109-115 (2001)
Abstract
We construct two recursive models of fragments of set theory. We also show that the fragments of Kripke-Platek set theory that prove -induction for -formulas have no recursive models but the standard model of the hereditarily finite setsLinks
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
Extending standard models of ZFC to models of nonstandard set theories.Vladimir Kanovei & Michael Reeken - 2000 - Studia Logica 64 (1):37-59.
Recursive in a generic real.Juichi Shinoda & Theodore A. Slaman - 2000 - Journal of Symbolic Logic 65 (1):164-172.
A brief introduction to algebraic set theory.Steve Awodey - 2008 - Bulletin of Symbolic Logic 14 (3):281-298.
A proof-theoretic characterization of the primitive recursive set functions.Michael Rathjen - 1992 - Journal of Symbolic Logic 57 (3):954-969.
Reconsidering ordered pairs.Dana Scott & Dominic McCarty - 2008 - Bulletin of Symbolic Logic 14 (3):379-397.
Algebraic Models of Sets and Classes in Categories of Ideals.Steve Awodey, Henrik Forssell & Michael A. Warren - unknown
Theories with recursive models.Manuel Lerman & James H. Schmerl - 1979 - Journal of Symbolic Logic 44 (1):59-76.
Nonarithmetical ℵ0-categorical theories with recursive models.Julia F. Knight - 1994 - Journal of Symbolic Logic 59 (1):106 - 112.
Weak Presentations of Computable Fields.Carl G. Jockusch & Alexandra Shlapentokh - 1995 - Journal of Symbolic Logic 60 (1):199 - 208.
Models, theories, and language.Jan Faye - 2007 - In Filosofia, scienza e bioetica nel dibattito contemporaneo. Rome: Poligrafico e Zecca dello Stato. pp. 823-838.
Analytics
Added to PP
2010-08-24
Downloads
219 (#93,463)
6 months
2 (#1,206,551)
2010-08-24
Downloads
219 (#93,463)
6 months
2 (#1,206,551)
Historical graph of downloads
Citations of this work
On Interpretations of Arithmetic and Set Theory.Richard Kaye & Tin Lok Wong - 2007 - Notre Dame Journal of Formal Logic 48 (4):497-510.
Amphi-ZF : axioms for Conway games.Michael Cox & Richard Kaye - 2012 - Archive for Mathematical Logic 51 (3-4):353-371.
References found in this work
A Non-Standard Model for a Free Variable Fragment of Number Theory.J. C. Shepherdson - 1965 - Journal of Symbolic Logic 30 (3):389-390.
A recursive nonstandard model of normal open induction.Alessandro Berarducci & Margarita Otero - 1996 - Journal of Symbolic Logic 61 (4):1228-1241.
Foundation versus Induction in Kripke-Platek Set Theory.Domenico Zambella - 1998 - Journal of Symbolic Logic 63 (4):1399-1403.
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-7c88c7cdf7-xpqc6 uwo