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Epimenides' Paradox

Epimenides was a Cretan who said: "All Cretans are liars". In the books which deal with logic this statement is called Epimenides' Paradox. And quite surprisingly, you find in the book of Titus 1 Paul writes:

Even one of their own Prophets has said, "Cretans are always liars, evil brutes, lazy gluttons." This testimony is true. Therefore, rebuke them sharply, so that they will be sound in the faith and will pay no attention to Jewish myths or to the commands of those who reject the truth. (Titus 1:12-14)

One of the interesting things is that Paul quote the Epimenides' Paradox, specifying that the speaker himself was a Cretan. "Cretans are always liars..." he then says that the man himself spoke the truth. But when the statement is spoken by a Cretan it is definitely not true. If it was true then at least once, a Cretan was not a liar, in which case the statement is false. The conclusion is the denial of the assumption, so the statement is not true. The writer Paul at least on this occasion, was without Divine Guidance for he did not discern the subtlety. (The other one being 1 Corinthians 7:25).

???Do not give up, for that is ignorance and not according to the rules of this art... Like the lover, you cannot hope to achieve success without infinite perseverance.???

Messages In This Thread
Epimenides' Paradox - by bar_khela - 11-01-2004, 04:33 PM
[No subject] - by Paul Younan - 11-01-2004, 05:40 PM
Escher Godel Bach - by nashama - 11-01-2004, 06:18 PM
[No subject] - by bar_khela - 11-01-2004, 09:32 PM
[No subject] - by Paul Younan - 11-01-2004, 09:48 PM
[No subject] - by bar_khela - 11-02-2004, 08:31 PM

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