Friday, December 26, 2008

Paradox of the Court

The Paradox of the Court is a very old problem in logic stemming from ancient Greece. It is said that the famous sophist Protagoras took on a pupil, Euathlus, on the understanding that the student pay Protagoras for his instruction after he had won his first case. Some accounts claim that Protagoras demanded his money as soon as Euathlus completed his education, others say that Protagoras waited until it was obvious that Euathlus was making no effort to take on clients[1] and still others [2] assert that Euathlus made a genuine attempt but that no clients ever came. In any case, Protagoras decided to sue Euathlus for the amount owed.

Protagoras argued that if he won the case he would be paid his money. If Euathlus won the case, Protagoras would still be paid according to the original contract, because Euathlus would have won his first case.

Euathlus, however, claimed that if he won then by the court's decision he would not have to pay Protagoras. If on the other hand Protagoras won then Euathlus would still not have won a case and therefore not be obliged to pay.

The question is: which of the two men is in the right?
1. Analysis

From a moral standpoint it may be that either party was right, or that both were, or weren't, due to the ambiguous nature of the scenario. However, as a matter of law, if the Court were to rule in favor of Protagoras, the conditions of the original contract between him and his pupil would be invalid and Euathlus would have to pay Protagoras. If, on the other hand, Euathlus were to win, the Court could also void Euathlus's obligation of payment.

How, from an objective standpoint, the way the Court could make its ruling is not necessarily a paradox either. The Court would either rule that Euathlus (as the defendant) had violated the terms of the contract, or had not. The subsequent conundrum would have no legal bearing on the court's decision.

In some civil cases the respondent, if he receives the favor of the court, is also shielded from payments associated with the act of going to court. The Court could indeed rule that Protagoras, as the unsuccessful plaintiff, pay Euathlus the amount which it cost to win. In this case, Euathlus would pay Protagoras only to have the money returned by order of the court. The original contract would have been fulfilled, and Euathlus would bear no further obligation to pay Protagoras for his instruction. The net outcome for Protagoras would be to lose his case, receive payment per the original contract, and then have to pay for the defendant's losses due to his failed suit (Which would be equal to, or exceeding, the cost of Euathlus's education.)

Additionally, Euathlus could hire a lawyer to take on the case, thus invalidating this case as a standard for payment.
1. 1. Another theory

Another means of viewing this case is as follows:

Euathlus would win his case because Protagoras sued him BEFORE Euathlus won his first case. Protagoras would lose that particular case because Euathlus has not yet won a case, and therefore Protagoras's cause of action had not yet manifested itself.

The new victory of Euathlus would qualify as new evidence for Protagoras, thus constituting grounds for a new trial.
2. Notes

1. ^ Peter Suber, Department of Philosophy, Earlham College, Richmond, Indiana, 47374, U.S.A.
2. ^ Eugene P. Northrop, "Riddles in Mathematics", Penguin Books

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