The solution of the Monty Hall problem hinges on the concept of information, and more specifically, on the relationship between added information and probability.
Hans Christian von BaeyerIf you don't understand something, break it apart; reduce it to its components. Since they are simpler than the whole,you have a much better chance of understanding them; and when you have succeeded in doing that, put the whole thing back together again.
Hans Christian von BaeyerThis is not what I thought physics was about when I started out: I learned that the idea is to explain nature in terms of clearly understood mathematical laws; but perhaps comparisons are the best we can hope for.
Hans Christian von BaeyerIf the intensity of the material world is plotted along the horizontal axis, and the response of the human mind is on the vertical, the relation between the two is represented by the logarithmic curve. Could this rule provide a clue to the relationship between the objective measure of information, and our subjective perception of it?
Hans Christian von Baeyer