Paradox of the Court
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The Paradox of the Court, also known as the counterdilemma of Euathlus or Protagoras' paradox, is a
paradox A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically u ...
originating in
ancient Greece Ancient Greece ( el, Ἑλλάς, Hellás) was a northeastern Mediterranean Sea, Mediterranean civilization, existing from the Greek Dark Ages of the 12th–9th centuries BC to the end of Classical Antiquity, classical antiquity ( AD 600), th ...
. The story is related by the Latin author Aulus Gellius in ''Attic Nights'', who says that the famous
sophist A sophist ( el, σοφιστής, sophistes) was a teacher in ancient Greece in the fifth and fourth centuries BC. Sophists specialized in one or more subject areas, such as philosophy, rhetoric, music, athletics, and mathematics. They taught ' ...
Protagoras took on a promising pupil, Euathlus, on the understanding that the student pay Protagoras for his instruction after he wins his first court case. After instruction, Euathlus decided to not enter the profession of law, but to enter
politics Politics (from , ) is the set of activities that are associated with making decisions in groups, or other forms of power relations among individuals, such as the distribution of resources or status. The branch of social science that stud ...
instead, and so Protagoras decided to sue Euathlus for the amount he is 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 would therefore not be obliged to pay. The question is then, which of the two men is in the right?


See also

*
List of paradoxes This list includes well known paradoxes, grouped thematically. The grouping is approximate, as paradoxes may fit into more than one category. This list collects only scenarios that have been called a paradox by at least one source and have their ...


References


Further reading

* L. Alqvist, "Deontic Logic", in Handbook of Philosophical logic, vol. II, pp. 605-714, 1984. * Eugene P. Northrop, "Riddles in Mathematics", Penguin Books * W. Hughes, J. Lavery. "Critical Thinking An Introduction to the Basic Skills Fifth Edition", pp. 327-328, Broadview Press, 2008.


External Links

* Peter Suber
Protagoras v. Euathlus
, a section withi

, Peter Lang Publishing, 1990. {{Paradoxes Self-referential paradoxes Ancient Greek logic