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Re:The Point of the Banach-Tarski Theorem – not just a curio... by reagency on Sunday June 07, 2015 @02:31PM (#9675803)
Uncountable sets are not reality. They are unicorns. They are a pretend construction that cannot be mapped 1:1 to anything in the universe, by definition. "Uncountable" means "outside the realm of real world algorithms and physics" . they are like "god of the gaps", a name for what we call the beyond the edge of the universe, which we can never reach. But we can assign some structure to it, roughly as an extension of reality, to imagine what it could be like. Sort of like heaven. Sort of.

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