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STORRE: Stirling Online Research Repository
http://hdl.handle.net/1893/1853| Appears in Collections: | Law and Philosophy Journal Articles |
| Peer Review Status: | Refereed |
| Title: | On Godel Sentences and What They Say |
| Author(s): | Milne, Peter |
| Contact Email: | peter.milne@stir.ac.uk |
| 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. https://doi.org/10.1093/philmat/nkm015 |
| 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: journals.permissions@oxfordjournals.org; 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. |
| Licence URL(s): | http://www.rioxx.net/licenses/under-embargo-all-rights-reserved |
| File | Description | Size | Format | |
|---|---|---|---|---|
| MILNE On Goedel Sentences and What They Say.pdf | Fulltext - Published Version | 315.56 kB | Adobe PDF | Under Permanent Embargo Request a copy |
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