In a recent paper, [Kanazawa S. & Kovar J.L. (2004). Why beautiful people are more intelligent, "Intelligence," 32, 227-243] assert that given certain empirical regularities about assortative mating and the heritability of intelligence and beauty, that it logically follows that more intelligent people are more beautiful. It is argued here that this "theorem" is false and that the evidence does not support it. (Contains 1 figure.)