College Admissions and the Stability of Marriage
-- D. Gale and L. S. Shapley, The American Mathematical Monthly, Vol. 69, No. 1 (Jan., 1962), pp. 9-15.
In making the special assumptions needed in order to analyze our problem mathematically, we necessarily moved further away from the original college admission question, and eventually in discussing the marriage problem, we abandoned reality altogether and entered the world of mathematical make-believe. The practical-minded reader may rightfully ask whether any contribution has been made toward an actually solution of the original problem. Even a rough answer to this question would require going into matters which are nonmathematical, and such discussion would be out of place in a journal of mathematics.
..any argument which is carried out with sufficient precision is mathematical; and the reason that your friends and ours cannot understand mathematics is not because they have no head for figures, but because they are unable to achieve the degree of concentration required to follow a moderately involved sequence of inferences.
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