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(2005) Synthese 145 (3).

Yablo's paradox and ω-inconsistency

Jeffrey Ketland

pp. 295-302

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.

Publication details

DOI: 10.1007/s11229-005-6201-6

Full citation:

Ketland, J. (2005). Yablo's paradox and ω-inconsistency. Synthese 145 (3), pp. 295-302.

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