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100 mathematicians, 1 real sequence, and the axiom of choice

Jrthedawg
in Mathematics

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Consider this riddle. The result it claims is fairly remarkable, and yet the solution, although a bit difficult to digest at first, is logically sound, but based on axiom of choice.

 

Just sharing it because I think it is really cool, and I figure this community would enjoy.

  • 4 weeks later...

99 out of 100 must get it right.... Which means 1 may fail.... By cheating, opening the last box, and failing, but providing the other 99 with the correct answer. Because they didn't open the box, 99 of the 100 succeed per the rules.

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