This section contains 1,884 words (approx. 7 pages at 300 words per page) |
Attributions of truth and falsehood under certain conditions generate the "liar paradox." The most famous illustration of this comes from the Epistle to Titus, in which St. Paul quotes approvingly a remark attributed to Epimenides: "One of themselves, even a prophet of their own, said, The Cretans are always liars, evil beasts, slow bellies. This witness is true" (King James version). Let us suppose that Epimenides, the Cretan prophet, did say that the Cretans are always liars, and let us consider the status of his utterance—call it E—under the following two conditions. (1) A Cretan utterance counts as a lie if and only if it is untrue. (2) All Cretan utterances, except perhaps E, are untrue. Now, if E is true, then, since E is a Cretan utterance, not all Cretan utterances are untrue. Hence, Cretans are not always liars (by (1)), and so E...
This section contains 1,884 words (approx. 7 pages at 300 words per page) |