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Tough Trolly Choices(mander.xyz)

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sushibowl@feddit.nl
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It seems to me that, since the set of real numbers has a total ordering, I could fairly trivially construct some choice function like “the element closest to 0” that will work no matter how many elements you remove, without needing any fancy axioms.

I don’t know what to do if the set is unordered though.

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wisha@lemmy.ml
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If I give you the entire real line except the point at zero, what will you pick? Whatever you decide on, there will always be a number closer to zero then that.

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sushibowl@feddit.nl
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I guess I can pick another number x to be closest to but it has the same problem unless I can guarantee it’s in the set. And successfully picking a number in the set is the problem to begin with! Foiled again!

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