Hermotimus
Lucian of Samosata
The Works of Lucian of Samosata, complete, with exceptions specified in thepreface, Vol. 2. Fowler, H. W. and Fowlere, F.G., translators. Oxford at the Clarendon Press, 1905.
Lycinus Stop there; that is just what I wanted. There are nine of them, we will say, and they have all drawn, and the lots are in their hands. You go round—for I promote you from spectator to steward—examining the letters; and I suppose you will not know who is the bye till you have been to them all and paired them.
Hermotimus How do you mean?
Lycinus It is impossible for you to hit straight upon the letter which indicates the bye; at least, you may hit upon the letter, but you will not know about the bye; it was not announced beforehand that kappa or mu or iota had the appointment in its gift; when you find alpha, you look for the holder of the other alpha, whom finding, you pair the two. Again finding beta, you inquire into the whereabouts of the second beta which matches it; and so all through, till there is no one left but the holder of the single unpaired letter.
Hermotimus But suppose you come upon it first or second, what will you do then?
Lycinus Never mind me; I want to know what you will do, Mr. Steward. Will you say at once, Here is the bye? or will you have to go round to all, and see whether there is a duplicate to be found, it being impossible to know the bye till you have seen all the lots?
Hermotimus Why, Lycinus, I shall know quite easily; nine being the number, if I find the epsilon first or second, I know the holder of it for the bye.
Lycinus But how?
Hermotimus How? Why, two of them must have alpha, two beta,
Lycinus Shall I extol your intelligence, or would you rather I explained to you my own poor idea, which differs?
Hermotimus The latter, of course, though I cannot conceive how you can reasonably differ.