Part of AI lore is John McCarthy's equestrian metaphor: AI split atop the backs of two racing horses, one of the connectionist breed, the other of the logicist. This view presupposes that the two animals are galloping down the same track. But are they? Not by our lights. The connectionist horse, no matter how fast it reaches the finish line, will lose -- because its course, unlike its rival's, has next to nothing to do with scientific progress on the question of how we manage to do what we do. Let us explain.