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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

14 votes
1 answer
560 views

Is there an elementary proof of a better result for the finite guessing-box puzzle?

The infinitary guessing-box puzzle is amazing — see here. … In the guessing-box puzzle with finitely many mathematicians and finitely many boxes, each containing a real number, is there an elementary argument showing that any given strategy is almost always all …
11 votes
2 answers
1k views

An infinite hat puzzle variation—if we don't know our place, can we still be almost all corr...

An evil demon is holding uncountably many set theorists captive. He explains to us how he will presently arrange us into a well ordered sequence, with everyone facing the same direction upward in the …