Editing Talk:Blue Eyes
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− | I think that helps highlight why the induction as presented doesn't work. Indeed, I believe everyone leaves on the | + | I think that helps highlight why the induction as presented doesn't work. Indeed, I believe everyone leaves on the 3rd night, and that the Guru provides no information at all -- only a random token which could not have existed before since communication was impossible. |
Once the Guru speaks, the solution becomes possible for only the case of blue-eyed people, because only then can every person on the island be sure they are counting the same color. But the content of what she says is meaningless, as everyone already knows what she says. She could have simply said, "Blue eyes", and the same result could be accomplished (I in fact nominate that for a harder form of the puzzle). | Once the Guru speaks, the solution becomes possible for only the case of blue-eyed people, because only then can every person on the island be sure they are counting the same color. But the content of what she says is meaningless, as everyone already knows what she says. She could have simply said, "Blue eyes", and the same result could be accomplished (I in fact nominate that for a harder form of the puzzle). |