Analysis 69 (2):233-239 (2009)

Authors
Luca Incurvati
University of Amsterdam
Abstract
According to the received view, formalism – interpreted as the thesis that mathematical truth does not outrun the consequences of our maximal mathematical theory – has been refuted by Goedel's theorem. In support of this claim, proponents of the received view usually invoke an informal argument for the truth of the Goedel sentence, an argument which is supposed to reconstruct our reasoning in seeing its truth. Against this, Field has argued in a series of papers that the principles involved in this argument – when applied to our maximal mathematical theory – are unsound. This paper defends the received view by showing that there is a way of seeing the truth of the Goedel sentence which is immune to Field's strategy.
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DOI 10.1093/analys/anp007
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References found in this work BETA

Two Kinds of Respect.Stephen Darwall - 1977 - Ethics 88 (1):36-49.
Responsibility and Atonement.Richard Swinburne - 1989 - Oxford University Press.
Wiping the Slate Clean: The Heart of Forgiveness.Lucy Allais - 2008 - Philosophy and Public Affairs 36 (1):33–68.

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