On the strength of Ramsey's theorem without Σ1 -induction

Mathematical Logic Quarterly 59 (1-2):108-111 (2013)
  Copy   BIBTEX

Abstract

In this paper, we show that equation image is a equation image-conservative extension of BΣ1 + exp, thus it does not imply IΣ1

Categories

Keywords

Reprint years

DOI

10.1002/malq.201200047

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,349

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

On the strength of Ramsey's theorem for pairs.Peter A. Cholak, Carl G. Jockusch & Theodore A. Slaman - 2001 - Journal of Symbolic Logic 66 (1):1-55.
The Strength of the Rainbow Ramsey Theorem.Barbara F. Csima & Joseph R. Mileti - 2009 - Journal of Symbolic Logic 74 (4):1310 - 1324.
The polarized Ramsey’s theorem.Damir D. Dzhafarov & Jeffry L. Hirst - 2009 - Archive for Mathematical Logic 48 (2):141-157.
Reverse mathematics and a Ramsey-type König's Lemma.Stephen Flood - 2012 - Journal of Symbolic Logic 77 (4):1272-1280.
Ramsey’s theorem for trees: the polarized tree theorem and notions of stability. [REVIEW]Damir D. Dzhafarov, Jeffry L. Hirst & Tamara J. Lakins - 2010 - Archive for Mathematical Logic 49 (3):399-415.
Ramsey's Theorem for Pairs and Provably Recursive Functions.Alexander Kreuzer & Ulrich Kohlenbach - 2009 - Notre Dame Journal of Formal Logic 50 (4):427-444.
Reverse mathematics and Ramsey's property for trees.Jared Corduan, Marcia J. Groszek & Joseph R. Mileti - 2010 - Journal of Symbolic Logic 75 (3):945-954.
Stable Ramsey's Theorem and Measure.Damir D. Dzhafarov - 2011 - Notre Dame Journal of Formal Logic 52 (1):95-112.
Reverse mathematics of prime factorization of ordinals.Jeffry L. Hirst - 1999 - Archive for Mathematical Logic 38 (3):195-201.
A game‐theoretic proof of analytic Ramsey theorem.Kazuyuki Tanaka - 1992 - Mathematical Logic Quarterly 38 (1):301-304.
Effectiveness for infinite variable words and the Dual Ramsey Theorem.Joseph S. Miller & Reed Solomon - 2004 - Archive for Mathematical Logic 43 (4):543-555.
The Dirac delta function in two settings of Reverse Mathematics.Sam Sanders & Keita Yokoyama - 2012 - Archive for Mathematical Logic 51 (1-2):99-121.
On the Strength of Ramsey's Theorem.David Seetapun & Theodore A. Slaman - 1995 - Notre Dame Journal of Formal Logic 36 (4):570-582.
A Simple Proof and Some Difficult Examples for Hindman's Theorem.Henry Towsner - 2012 - Notre Dame Journal of Formal Logic 53 (1):53-65.
Necessary use of [image] induction in a reversal.Itay Neeman - 2011 - Journal of Symbolic Logic 76 (2):561 - 574.

Analytics

Added to PP
2013-12-01

Downloads
28 (#553,203)

6 months
7 (#425,192)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Reverse mathematics and Peano categoricity.Stephen G. Simpson & Keita Yokoyama - 2013 - Annals of Pure and Applied Logic 164 (3):284-293.

View all 8 citations / Add more citations

References found in this work

Reverse mathematics and Peano categoricity.Stephen G. Simpson & Keita Yokoyama - 2013 - Annals of Pure and Applied Logic 164 (3):284-293.
Some independence results for peano arithmetic.J. B. Paris - 1978 - Journal of Symbolic Logic 43 (4):725-731.
Factorization of polynomials and °1 induction.S. G. Simpson - 1986 - Annals of Pure and Applied Logic 31:289.

Add more references