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 local disquotation T-scheme applied to individual sentences from the Yablo list is also consistent.
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References
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Ketland, J. Yablo’s Paradox and ω-Inconsistency. Synthese 145, 295–302 (2005). https://doi.org/10.1007/s11229-005-6201-6
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DOI: https://doi.org/10.1007/s11229-005-6201-6