Bulletin of Symbolic Logic

Reverse mathematics: the playground of logic

Richard A. Shore

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Abstract

This paper is essentially the author's Gödel Lecture at the ASL Logic Colloquium '09 in Sofia extended and supplemented by material from some other papers. After a brief description of traditional reverse mathematics, a computational approach to is presented. There are then discussions of some interactions between reverse mathematics and the major branches of mathematical logic in terms of the techniques they supply as well as theorems for analysis. The emphasis here is on ones that lie outside the usual main systems of reverse mathematics. While retaining the usual base theory and working still within second order arithmetic, theorems are described that range from those far below the usual systems to ones far above.

Article information

Source
Bull. Symbolic Logic, Volume 16, Issue 3 (2010), 378-402.

Dates
First available in Project Euclid: 5 October 2010

Permanent link to this document
https://projecteuclid.org/euclid.bsl/1286284559

Digital Object Identifier
doi:10.2178/bsl/1286284559

Citation

Shore, Richard A. Reverse mathematics: the playground of logic. Bull. Symbolic Logic 16 (2010), no. 3, 378--402. doi:10.2178/bsl/1286284559. https://projecteuclid.org/euclid.bsl/1286284559


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