Epimenides paradox

Let's have a green tea cake before we go fry some braincells.

Ok this is something I picked up while watching "Full Metal Panic: The Second Raid."

The Cretans are always liars. (Titus 1:12)

This was from Epimenides, a sixth century BC philosopher who himself is a Cretan. So was his statement true of false? That's Epimenides paradox.

How about this:

The next sentence is false.
The preceding sentence is true.

There is this Gödel's incompleteness theorem which says from an arithmetic approach a provable statement may not be a true statement..

Don't think too hard please. I don't want to slaughter your braincells.