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Originally Posted by Ken G
Correct! This completes Fram's solution of part (1). But the fun is only beginning. What is the answer to part (2)?
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It seems to me, before the anthropologist arrived, everyone knew that there were at least four blue-eyed people. Furthermore, everyone knew that everyone knew there were at least three blue-eyed people. And everyone knew that everyone knew that everyone knew that there were at least two blue-eyed people. And everyone knew that everyone knew that everyone knew that everyone knew that there was at least one blue-eyed people. But not everyone knew that everyone knew this last statement. When the anthropologist spoke up, they did.