Liar Paradox (Eubulid or Epimenides Paradox) - Back to the Paradoxes
About this best-known paradox wrote a great stoical logician Chrysippos from Solov 29 books and philosopher Filetos even died because of it (seeking for its solution was killing).
If somebody says about himself, that he lies, is it truth or lie?
The way I see it, if this Cretan was NOT a liar, he would not be making this statement, knowing that at least ONE Cretan (he himself) is NOT a liar. After all, this statement would then MAKE him a liar. So he is a liar.
Therefor the statement "All Cretans are liars." can not be true, which isn't to say that all Cretan are NOT liars, but just that not all Cretans are liars, but at least some - including HIM - actually ARE liars.
This works with both statements, by the way. With the second statement there is just the added confusion of him contradicting himself in one and the same sentence...