How a Mathematical Paradox Allows Infinite Cloning

The Banach-Tarski paradox is a mathematical argument that posits that you could (theoretically) clone a sphere by using the concept of infinities. There are two types of mathematical infinities: countable, which includes all natural numbers (1, 2, and so on), and uncountable, which is the former plus decimals. By using math concepts, you could separate the sphere’s uncountable infinite points into uncountable infinite numbers of countable infinite sets, rearrange them at a set angle, and shift their positions to create a perfect clone of the original.
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