lundi 30 juillet 2018

Infinite Sets and Probability

Suppose I awake in an unknown hotel room. The only clue as to my whereabouts is the fact that I know I'm in one of two sets of infinite hotel rooms: the Ritz set or the Motel 6 set. In the Motel 6 set, for every opulent room, there are a billion dingy ones. In the Ritz set, it's the opposite. The room I wake up in is opulent. Does this allow me to conclude I'm probably in the Ritz set, or does the fact there are just as many dingy rooms as opulent rooms (since there are an infinite amount of both types of rooms in both sets) make a probability calculus impossible?


via International Skeptics Forum https://ift.tt/2K6rHlK

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