From its back there dangled a string. The temptation to pull it was overwhelming. Clearly, the transcendentalist argument is not susceptible of proof. To say that, for some phenomena, no scientific explanation is possible requires a leap of faith. I can illustrate what I mean from the game of chess.
Chess is a determinate enterprise.
If one follows the rules, there are, at any given point, a finite number of moves and a finite number of responses to those moves. This means that anyone in a position to consider in advance every move and every riposte could play a perfect game each and every time. The answer lies in the numbers. There are 20 possible opening moves by white, and 20 possible responses by black. But thereafter the numbers immediately start to increase.