Remarks ey Mr. Datzas' Lerrex or 23np Tusk, 1888, the Kditor of the Nonru-Curwa Dalny News.
(1) Mr, Dallas begins by quite rightly pointing out that 34 times 69 is not equal to.minus 4. The "mathematical Editor" I dare say will humbly take the rebuke, (2) Next Mr, Dallas finds fault with the use of the word obvious" applied to the fact that 168 minus ought to pay 42 times the amount of 4 minus, if, as stated in the problem, each player has to pay in the proportion of his score, Here I cannot agree with Mr. Dallas. By the terms of the problem $30 are to be paid by all the 5 players, insequently Band C have to pay a portion jointly, and DE F have to pay the remainder jointly, (if the problem is capable of any solution at all,)—and it is beyond the possibility of dispute "obvious" that no solution of the problem can be correct if B does not pay 42 times the amount which has to pay. It may be, and I assert, that under the terms of the problem a solu: tion absolutely correct is impossible. But that does not interfere with the truth of the statement that no solution is correct in which B and C do not pay in the proportion of 42: 1. If there isa logical contradiction I shall feel obliged by having it pointed out.
(3) Mr, Dallas rightly points out that it is impossible to calculate proportionate payments to be made by plus and minus scores, without bringing them into a common category that admits of prep donate calculation. Later on Mr. says that the Problem does not specify in express words how they (minus and plus) are to be brought into a common category, and arrives the conclusion that the words of the pro-Blem, "Each paying a share of the $30 in proportion to his score," should be read, "Each paying a share of the $30 in proportion as his score falls short of that of the winner."
But any one who reads the above two sentences (except those who have already taken Mr. Dalles' side) must see clearly that the meaning of the two sentences is quite different, and that in fact anew problem is created, by substituting the latter for the former sentence. How would there have been any difficulty if those who made the agreement all anderstood and intended it to mean, what Mr, Dallas very cleverly tries to interpret into the problem? Some of the six players or at least one must have differently understood the meaning of the agreement, or at Toast not have understood the agreement to have the meaning Mr. Dallas imagines. According to the problem, the agreement was made before play commenced. Consequently the agreement would not only apply to the actual result but to all other possible results. The following is another possible result
Text read from the printed page and cleaned; old type leaves the occasional error.