Fibonacci, Yablo, and the cassationist approach to paradox

Mind 115 (460):867-890 (2006)

Authors
Laurence Goldstein
University of Kent
Abstract
A syntactically correct number-specification may fail to specify any number due to underspecification. For similar reasons, although each sentence in the Yablo sequence is syntactically perfect, none yields a statement with any truth-value. As is true of all members of the Liar family, the sentences in the Yablo sequence are so constructed that the specification of their truth-conditions is vacuous; the Yablo sentences fail to yield statements. The ‘revenge’ problem is easily defused. The solution to the semantical paradoxes offered here revives the mediaeval cassatio approach, one that largely disappeared due to its incomprehending rejection by influential contemporary writers such as William Shyreswood and Thomas Bradwardine. The diagnosis readily extends to the set-theoretic paradoxes
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DOI 10.1093/mind/fzl867
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References found in this work BETA

Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and Other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 481-563.
Reason, Truth and History.Hilary Putnam - 1981 - Cambridge University Press.
Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Paradox Without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251.

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Citations of this work BETA

Truth and Meaning.Ian Rumfitt - 2014 - Aristotelian Society Supplementary Volume 88 (1):21-55.
I—Truth and Meaning.Ian Rumfitt - 2014 - Aristotelian Society Supplementary Volume 88 (1):21-55.
A Consistent Way with Paradox.Laurence Goldstein - 2009 - Philosophical Studies 144 (3):377 - 389.

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Variations on a Theme by Yablo.Hartry Field - 2005 - In J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox. Clarendon Press.

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