Truth, conservativeness, and provability: Reply to Cieśliński

Cieśliński has given an interesting response to Shapiro 1998 and Ketland 1999, which argued that deflationary truth theories are inadequate, since they lack the property of 'reflective adequacy'. Cieśliń ski's response, following Tennant (2002, 2005), aims to explain, without a detour...

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Main Author: Ketland, J
Format: Journal article
Language:English
Published: 2010
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author Ketland, J
author_facet Ketland, J
author_sort Ketland, J
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description Cieśliński has given an interesting response to Shapiro 1998 and Ketland 1999, which argued that deflationary truth theories are inadequate, since they lack the property of 'reflective adequacy'. Cieśliń ski's response, following Tennant (2002, 2005), aims to explain, without a detour using truth axioms, why someone who accepts the axioms of a theory should also accept its reflection principles. The argument is formulated very clearly (in fact, to justify a different reflection principle), and involves a couple of important assumptions, the crucial one being that the reflection scheme for a theory 'expresses' the acceptance of its theorems. I argue that this assumption is incorrect. For if the reflection principle for a theory expresses the claim that one is ready to accept its theorems, this latter claim should imply the reflection principle. But it does not. So, I conclude, the response fails to yield the required 'truth-free' method for proving or justifying reflection principles. © Ketland 2010.
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spelling oxford-uuid:29646953-bd7c-49df-bb5e-1130b3df7cdd2022-03-26T12:18:50ZTruth, conservativeness, and provability: Reply to CieślińskiJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:29646953-bd7c-49df-bb5e-1130b3df7cddEnglishSymplectic Elements at Oxford2010Ketland, JCieśliński has given an interesting response to Shapiro 1998 and Ketland 1999, which argued that deflationary truth theories are inadequate, since they lack the property of 'reflective adequacy'. Cieśliń ski's response, following Tennant (2002, 2005), aims to explain, without a detour using truth axioms, why someone who accepts the axioms of a theory should also accept its reflection principles. The argument is formulated very clearly (in fact, to justify a different reflection principle), and involves a couple of important assumptions, the crucial one being that the reflection scheme for a theory 'expresses' the acceptance of its theorems. I argue that this assumption is incorrect. For if the reflection principle for a theory expresses the claim that one is ready to accept its theorems, this latter claim should imply the reflection principle. But it does not. So, I conclude, the response fails to yield the required 'truth-free' method for proving or justifying reflection principles. © Ketland 2010.
spellingShingle Ketland, J
Truth, conservativeness, and provability: Reply to Cieśliński
title Truth, conservativeness, and provability: Reply to Cieśliński
title_full Truth, conservativeness, and provability: Reply to Cieśliński
title_fullStr Truth, conservativeness, and provability: Reply to Cieśliński
title_full_unstemmed Truth, conservativeness, and provability: Reply to Cieśliński
title_short Truth, conservativeness, and provability: Reply to Cieśliński
title_sort truth conservativeness and provability reply to cieslinski
work_keys_str_mv AT ketlandj truthconservativenessandprovabilityreplytocieslinski