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Allan_Crossman comments on The Fear of Common Knowledge - Less Wrong
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ES: for the puzzle to make sense we have to assume that the islanders have no memory of exactly when they came to be on the island.
I don't see what difference that makes. All that matters is that everyone is present before it's announced that someone has blue eyes, and everyone has made an accurate count of how many other people have blue eyes, and nobody knows their own eye colour.