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Yablo's Paradox and ω-inconsistency

Abstract:

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 ...

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Publisher copy:
10.1007/s11229-005-6201-6

Authors


Journal:
Synthese
Volume:
145
Issue:
3
Pages:
295-302
Publication date:
2005-07-05
DOI:
EISSN:
1573-0964
ISSN:
0039-7857
URN:
uuid:51392c26-5ad5-47e7-82f2-e5d212a3d9e7
Source identifiers:
353254
Local pid:
pubs:353254
Language:
English

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