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Appears in Collections:Law and Philosophy Journal Articles
Peer Review Status: Refereed
Title: On Godel Sentences and What They Say
Author(s): Milne, Peter
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Keywords: Gödel sentences
Gödel, Kurt.
Incompleteness theorem
Gödel’s theorem
Mathematics Philosophy
Issue Date: Jun-2007
Date Deposited: 2-Dec-2009
Citation: Milne P (2007) On Godel Sentences and What They Say. Philosophia Mathematica, 15 (2), pp. 193-226.
Abstract: Proofs of Gödel’s First Incompleteness Theorem are often accompanied by claims such as that the gödel sentence constructed in the course of the proof says of itself that it is unprovable and that it is true. The validity of such claims depends closely on how the sentence is constructed. Only by tightly constraining the means of construction can one obtain gödel sentences of which it is correct, without further ado, to say that they say of themselves that they are unprovable and that they are true; otherwise a false theory can yield false gödel sentences.
DOI Link: 10.1093/philmat/nkm015
Rights: copyright The Author [2007]. Published by Oxford University Press. All rights reserved. For Permission, please e-mail:; The publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author; you can only request a copy if you wish to use this work for your own research or private study.
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