Monday, December 31, 2012

The no-no Paradox

Roy Sorensen (2001: Vagueness and Contradiction, Oxford: Clarendon Press, 169) considered the following pair of sentences:
......The neighbouring italicized sentence is not true.
......The neighbouring italicized sentence is not true.
While it is logically possible that one of those sentences – or rather, one of the claims made by those sentences – is true and the other false, those two tokens of that sentence-type should have the same truth-value because there are no significant contextual differences between them. It is therefore plausible that each is as true as not. For each token, were the claim expressed by it as true as not, the other claim would be as untrue as not, which clearly coheres with it too being as true as not.

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