Is there a *simple* example of how the axiom of choice can lead to a counterintuitive result? – math.stackexchange.com

Is there a *simple* example of how the axiom of choice can lead to a counterintuitive result? – math.stackexchange.com

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This question is quite subjective, but here goes: The axiom of choice notoriously leads to many extremely counterintuitive results, like the Hausdorff, Von Neumann, and (most famously) Banach-Tarski ...

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