Erebus
Well-Known Member
Actually, that makes me think of another problem: one door's honest and one door's a liar, but what if the honest door doesn't know that the lying door lies? Solving the problem requires that both doors have perfect knowledge (within the scope of the problem, anyhow), but we're given no information about how knowledgeable the doors are.
The answer that both of you gave hadn't occurred to me at all, it does work, like you say, providing the door has sufficient knowledge of its partner. Without going into extra detail on it beforehand, this is implied anyway really.
If the doors don't have perfect knowledge... would the door that tells the truth be the only one capable of saying "I don't know?"
I should probably ask Autodidact another question aswell here, or she might get upset... How many times a day do you pray to the non-existence of God?