David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Mind 115 (460):867-890 (2006)
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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Laurence Goldstein (2009). A Consistent Way with Paradox. Philosophical Studies 144 (3):377 - 389.
Michael Papazian (2012). Chrysippus Confronts the Liar: The Case for Stoic Cassationism. History and Philosophy of Logic 33 (3):197-214.
C. Dutilh Novaes (2008). A Comparative Taxonomy of Medieval and Modern Approaches to Liar Sentences. History and Philosophy of Logic 29 (3):227-261.
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