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An important and fundamental axiom in set theory sometimes called Zermelo's axiom of choice. It was formulated by Zermelo in 1904 and states that, given any set of mutually disjoint nonempty sets, there exists at least one set that contains exactly one element in common with each of the nonempty sets. The axiom of choice is related to the first of Hilbert's problems.
3
votes
Can an infinite number of mathematicians guess the number in a box with only one error?
I didn't think this would be possible with an infinite number of mathematicians, but Eric's solution is fantastic. It did take me a while to understand how it works, and I was confused because I think …