Proof theory in philosophy of mathematics

Philosophy Compass 5 (4):336-347 (2010)

Authors
Andrew Arana
University of Paris 1 Panthéon-Sorbonne
Abstract
A variety of projects in proof theory of relevance to the philosophy of mathematics are surveyed, including Gödel's incompleteness theorems, conservation results, independence results, ordinal analysis, predicativity, reverse mathematics, speed-up results, and provability logics.
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DOI 10.1111/j.1747-9991.2010.00282.x
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Reasoning About Knowledge.Ronald Fagin (ed.) - 1995 - MIT Press.
The Taming of the True.Neil Tennant - 1997 - Oxford University Press.
Basic Proof Theory.A. S. Troelstra - 2000 - Cambridge University Press.

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