The psychologist-philosopher B.F. Skinner and the physicist-philosopher P.W. Bridgman, both dedicated empiricists, initially entered into an intellectual relationship that seemed destined to be warm and fruitful. Yet, it ended up unfulfilled. Since I am now perhaps one of the few who knew both men as colleagues for many years, I might be able to throw some unique light on their interaction, and on what I consider to be one of the missed opportunities in the history of ideas.