Give this riddle a read. As an avid fan of math riddles and brain teasers, this may be the most difficult one I've ever encountered.
I posted this in the Set Theory forum, but thought this audience might enjoy it as well. Let me know what you think! Be aware that the solution is at the...
You're right. What I find bizarre about this result is that the axiom of choice gives the mathematicians in the riddle the ability to name a real number hidden in a box. This seems like an incredible power! Especially in light of the fact that 'most' numbers are undefinable, that is, we can't...
I've asked many people about the incredible conclusion of this riddle, whose solution applies the axiom of choice, and have yet to find a satisfying response.
I understand the solution, but I would like to know why the axiom of choice leads to such a bizarre result, while being so compatible...