Paradox

Recently watching a Japanese drama "Edison no haha" or "Edison's Mother" they discuss bout paradoxes. Two were mentioned, Socrates-Plato and Crocodile and Mother.

Plato :"Socrates lies."
Socrates :"Plato was right."

we are still trapped between true and false when we go from one to another. We fall into a loop paradox

The crocodile snatched the baby from the mother and asked "Will I eat your baby? If you answer correctly, I will return your baby. Otherwise, I will eat your baby." And the wise mother's answer? "You will eat my baby."