On the logical strengths of partial solutions to mathematical problems

Author:

Bienvenu Laurent1,Patey Ludovic2,Shafer Paul3

Affiliation:

1. LIRMM, 161 rue Ada; 34095 Montpellier cedex 5 France

2. Department of Mathematics; University of California; Berkeley, CA 94720 USA

3. School of Mathematics; University of Leeds; Leeds LS2 9JT UK

Funder

John Templeton Foundation

Agence Nationale de la Recherche

Fondation Sciences Mathématiques de Paris

Publisher

Wiley

Subject

General Mathematics

Reference37 articles.

1. Comparing DNR and WWKL;Ambos-Spies;J. Symb. Log.,2004

2. Algorithmic randomness, reverse mathematics, and the dominated convergence theorem;Avigad;Ann. Pure Appl. Logic,2012

3. The strength of infinitary Ramseyan principles can be accessed by their densities;Bovykin;Ann. Pure Appl. Logic,2005

4. On the strength of Ramsey's theorem for pairs;Cholak;J. Symb. Log.,2001

5. The metamathematics of stable Ramsey's theorem for pairs;Chong;J. Amer. Math. Soc.,2014

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1. COMPUTABILITY THEORY, NONSTANDARD ANALYSIS, AND THEIR CONNECTIONS;The Journal of Symbolic Logic;2019-09-23

2. RANDOMNESS NOTIONS AND REVERSE MATHEMATICS;The Journal of Symbolic Logic;2019-09-09

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