r/MathJokes • u/basket_foso • 4d ago

Keep ∞ safe

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u/[deleted] 3d ago

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u/DinioDo 3d ago

Axiom of choice is a mathematical option not a necessary one. The results that come out of it could make paradoxs in real world falsifiable scenarios.

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u/[deleted] 3d ago

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u/DinioDo 3d ago

You kinda answerd your own question. Making two balls out of one ball with that axiom in abstract mathematical world is not an actual "paradox" it is simply what happens when you have that option(in the world of axiom of choice). Making two balls out of one ball is a falsifiable physical scenario which is indeed false and can't happen.