Yablo's Paradox and ω-inconsistency
It is argued that Yablo's Paradox is not strictly paradoxical, but rather 'ω-paradoxical'. Under a natural formalization, the list of Yablo sentences may be constructed using a diagonalization argument and can be shown to be ω-inconsistent, but nonetheless consistent. The derivation o...
| المؤلف الرئيسي: | |
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| التنسيق: | Journal article |
| اللغة: | English |
| منشور في: |
2005
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| _version_ | 1826272227570483200 |
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| author | Ketland, J |
| author_facet | Ketland, J |
| author_sort | Ketland, J |
| collection | OXFORD |
| description | It is argued that Yablo's Paradox is not strictly paradoxical, but rather 'ω-paradoxical'. Under a natural formalization, the list of Yablo sentences may be constructed using a diagonalization argument and can be shown to be ω-inconsistent, but nonetheless consistent. The derivation of an inconsistency requires a uniform fixed-point construction. Moreover, the truth-theoretic disquotational principle required is also uniform, rather than the local disquotational T-scheme. The theory with the local disquotation T-scheme applied to individual sentences from the Yablo list is also consistent. © Springer 2005. |
| first_indexed | 2024-03-06T22:09:13Z |
| format | Journal article |
| id | oxford-uuid:51392c26-5ad5-47e7-82f2-e5d212a3d9e7 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:09:13Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:51392c26-5ad5-47e7-82f2-e5d212a3d9e72022-03-26T16:18:14ZYablo's Paradox and ω-inconsistencyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:51392c26-5ad5-47e7-82f2-e5d212a3d9e7EnglishSymplectic Elements at Oxford2005Ketland, JIt is argued that Yablo's Paradox is not strictly paradoxical, but rather 'ω-paradoxical'. Under a natural formalization, the list of Yablo sentences may be constructed using a diagonalization argument and can be shown to be ω-inconsistent, but nonetheless consistent. The derivation of an inconsistency requires a uniform fixed-point construction. Moreover, the truth-theoretic disquotational principle required is also uniform, rather than the local disquotational T-scheme. The theory with the local disquotation T-scheme applied to individual sentences from the Yablo list is also consistent. © Springer 2005. |
| spellingShingle | Ketland, J Yablo's Paradox and ω-inconsistency |
| title | Yablo's Paradox and ω-inconsistency |
| title_full | Yablo's Paradox and ω-inconsistency |
| title_fullStr | Yablo's Paradox and ω-inconsistency |
| title_full_unstemmed | Yablo's Paradox and ω-inconsistency |
| title_short | Yablo's Paradox and ω-inconsistency |
| title_sort | yablo s paradox and ω inconsistency |
| work_keys_str_mv | AT ketlandj yablosparadoxandōinconsistency |