How does the Banach-Tarski Paradox work?

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It seems so ridiculously counterintuitive, how could it possibly work?

In: Mathematics

4 Answers

Anonymous 0 Comments

You treat the shape as an infinite cloud of points. You divide it up into at least 5 fractal clouds of infinite points. You can then reassemble those fractals into two spheres. The secret is that “having enough stuff” isn’t relevant because infinity.

∞ = ∞/5 = 2*∞

The proof is just that you can fill all the space and create a spherical surface.

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