Analysis 69 (2):233-239 (2009)
Authors |
|
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.
|
Keywords | No keywords specified (fix it) |
Categories | (categorize this paper) |
DOI | 10.1093/analys/anp007 |
Options |
![]() ![]() ![]() ![]() |
Download options
References found in this work BETA
Pride, Shame, and Guilt: Emotions of Self-Assessment.Gabriele Taylor - 1985 - Oxford University Press.
Wiping the Slate Clean: The Heart of Forgiveness.Lucy Allais - 2008 - Philosophy and Public Affairs 36 (1):33–68.
View all 21 references / Add more references
Citations of this work BETA
Conservative Deflationism?Julien Murzi & Lorenzo Rossi - 2020 - Philosophical Studies 177 (2):535-549.
Similar books and articles
Maximal Propositions and the Coherence Theory of Truth.James B. Freeman & Charles B. Daniels - 1978 - Dialogue 17 (1):56-71.
Truth and Provability: A Comment on Redhead.Panu Raatikainen - 2005 - British Journal for the Philosophy of Science 56 (3):611-613.
On First-Order Theories with Provability Operator.Sergei Artëmov & Franco Montagna - 1994 - Journal of Symbolic Logic 59 (4):1139-1153.
On Strong Provability Predicates and the Associated Modal Logics.Konstantin N. Ignatiev - 1993 - Journal of Symbolic Logic 58 (1):249-290.
Giving an Account of Provability Within a Theory.Peter Roeper - 2003 - Philosophia Mathematica 11 (3):332-340.
Deflationism, Conservativeness and Maximality.Cezary Cieśliński - 2007 - Journal of Philosophical Logic 36 (6):695 - 705.
Analytics
Added to PP index
2009-04-11
Total views
81 ( #121,929 of 2,403,718 )
Recent downloads (6 months)
1 ( #550,229 of 2,403,718 )
2009-04-11
Total views
81 ( #121,929 of 2,403,718 )
Recent downloads (6 months)
1 ( #550,229 of 2,403,718 )
How can I increase my downloads?
Downloads