Is This the Toughest Math Riddle Ever?

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In summary, the conversation revolves around a difficult riddle that was posted in a Set Theory forum. The person who posted it is an avid fan of math riddles and brain teasers and believes it to be one of the most difficult ones they have encountered. They also mention that the solution can be found at the bottom of a provided link, and that a similar puzzle with functions R->R requires the use of the axiom of choice.
  • #1
Jrthedawg
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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 bottom of the page provided in the link.
 
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  • #2
I saw a similar puzzle with functions R->R a while ago. It is really surprising, but it needs the axiom of choice (mark to see) - and that is known for the strange result it produces.
 

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