Journal of Symbolic Logic 72 (3):1072-1078 (2007)

Abstract
Let T be a recursive theory in the language of first order Arithmetic. We prove that if T extends: the scheme of parameter free Δ1-minimization, or the scheme of parameter free Π1-induction, then there are no Σ1-maximal models with respect to T. As a consequence, we obtain a new proof of an unpublished theorem of Jeff Paris stating that Σ1-maximal models with respect to IΔ0 + exp do not satisfy the scheme of Σ1-collection BΣ1.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1191333857
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 65,579
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Computing Maximal Chains.Alberto Marcone, Antonio Montalbán & Richard A. Shore - 2012 - Archive for Mathematical Logic 51 (5-6):651-660.
Toward Categoricity for Classes with No Maximal Models.Saharon Shelah & Andrés Villaveces - 1999 - Annals of Pure and Applied Logic 97 (1-3):1-25.
The Spectrum of Maximal Independent Subsets of a Boolean Algebra.J. Donald Monk - 2004 - Annals of Pure and Applied Logic 126 (1-3):335-348.
A Note on Recursive Models of Set Theories.Domenico Zambella & Antonella Mancini - 2001 - Notre Dame Journal of Formal Logic 42 (2):109-115.
Diophantine Induction.Richard Kaye - 1990 - Annals of Pure and Applied Logic 46 (1):1-40.
Automorphisms with Only Infinite Orbits on Non-Algebraic Elements.Grégory Duby - 2003 - Archive for Mathematical Logic 42 (5):435-447.

Analytics

Added to PP index
2010-08-24

Total views
22 ( #500,128 of 2,461,809 )

Recent downloads (6 months)
1 ( #448,803 of 2,461,809 )

How can I increase my downloads?

Downloads

My notes