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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.
5
votes
1
answer
580
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Infinite blue eyed islanders puzzle
Can the well known blue eyed islanders puzzle be extended to an infinite number of islanders? … More speculatively, is there some kind of variant of this puzzle that could usefully distinguish between knowledge at transfinite times? …
3
votes
1
answer
515
views
Simple reason that a mathematician cannot do better than random when guessing contents of a ...
I have a question about the finite analog of the puzzle proposed here involving mathematicians guessing the contents of boxes. …
17
votes
2
answers
2k
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Can an infinite number of mathematicians guess the number in a box with only one error?
In this question the following observation was made:
Consider a sequence of boxes numbered 0, 1, ... each containing one real number. The real number cannot be seen unless the box is opened.
Define …