
Friday, Jan. 28, 2005  11:59 a.m.
This is a series of increasing or decreasing numbers, where there is a multiplicative relationship between any two consecutive numbers. Take the series 0.1, 0.09, 0.081, 0.073 ... ; the next number is obtained by always multiplying the preceding number by a constant of 0.9, or 90%. This series quantifies the decreasing lovefaithhope that can be given to all the subsequent girls, either because the boy always keeps ten percent to protect himself, or because a little part of him dies with each girl. It is obvious that the series can go on forever: the boy takes the smallest number he can think of, and then he takes ninety per cent of that. The numbers that make up a geometric series  are infinite, like all the permutations of girls that the boy will meet in his lifetime. But the sum of all these infinite numbers is a single finite number, given by the equation: s = a / (1  r) where s is the sum to infinity, a is the first number in the series, and r is the multiplicative constant. Using our example, with a = 0.1 and r =0.9, we find that the sum to infinity, s = 0.1 / ( 1  0.9) = 1 The boy cannot argue against the math. The number '1' stands like a monolith. In summing all the girls that he has met and all the girls he will ever meet to infinity, he finds irrevocably that the first one, was the one. Q.E.D.
