[Crocodile Sophism]

I would think that the only way to make ANY sense of the situation is for the woman to repeat back to the croc EXACTLY what he said to HER: "If I guess right, you'll give my baby back, if I dont, you'll eat him. That's what you'll do to him." He'd have to return the baby, because she's CORRECT NO MATTER WHAT. Eh? hehehe

I think this is a reasonable answer.

[Barber Paradox (Russell's Paradox)]

The original version I heard had one very important difference:

In a village, there is a barber who shaves everyone that does not shave himself, and no one else.

Who shaves the barber?

In this case, there is a very simple way to circumvent the paradox:

The barber is a woman!