To Court!

(Thanks http://www.smbc-comics.com for providing me with such humorous philosophical insights)

The Paradox of the court that is described in this rather humorous comic is a wonderful example of a seemingly unsolvable logical paradox. Protagoras and Eutharus both seem to have rational and logical points.

Protagoras's argument goes as:

P1: Eutharus owes me money if we wins a case

P2: Eutharus will owe me money if I sue him and win the case.

C: No matter what, Eutharus will owe me money

However, Eutharus's argument is as follows:

P1: Pythagoras says that until I win a case, I don't owe him money.

P2: If Pythagoras takes me to court for money and I win, I don't have to pay him because the court is on my side

P3: If I lose said court case, I have not won any case, so I don't have to pay Pythagoras any money.

C: I don't have to pay Pythagoras anything

Now, there is a solution to this paradox, but I will not say. Instead, try to figure it out yourselves.