Abstract

tence, no logically true sentence, and indeed no sentence whatever is supposition-apt. One response might be to tidy up the Supposition Test, so that it does not have the unwanted consequences. Perhaps that can be done. But the considerations of 5 1 above suggest that this would be an ultimately futile move to preserve an ill-conceived project. The P-rule allows one to assume any sentence until contradiction ensues, then forbids the assumption. But sub specie aeternitatis, this is an inconsistent, and so incoherent demand: both to allow something to be assumed (to discover if it may be assumed) and to forbid its assumption. The Liar would have won, after all.

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