Hermotimus, or the Rival Philosophies (43)

Lycinus You have gone on the assumption that the letters are taken in alphabetical order, until at a particular one the number of competitors runs short; and I grant you it may be done so at Olympia. But suppose we were to pick out five letters at random, say chi, sigma, zeta, kappa, theta, and duplicate the other four on the lots for eight competitors, but put a single zeta on the ninth, which we meant to indicate the bye—what then would you do if you came on the zeta first? How can you tell that its holder is the bye till you have been all round and found no counterpart to it? for you could not tell by the alphabetical order, as at Olympia.

Hermotimus A difficult question.