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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The Logical Basis of Metaphysics.Michael DUMMETT - 1991 - Harvard University Press.
The Taming of the True.Neil Tennant - 1997 - Oxford University Press.
Subsystems of Second-Order Arithmetic.Stephen G. Simpson - 2004 - Studia Logica 77 (1):129-129.

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