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A comment on The Banach–Tarski Paradox [video].

Re:The Banach–Tarski Paradox [video] by amelius on Sunday August 02, 2015 @05:24PM (#9992533)
Infinity is a concept, not a number. Confusing the two is what gets you into trouble. And, unfortunately, it is easy to confuse them because in mathematical notation, infinity is often used in place of a number.
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Re:The Banach–Tarski Paradox [video] by grumpy-buffalo on Sunday August 02, 2015 @10:23PM (#9993378)
There are plenty of senses in which infinity IS a number -- or rather, many numbers. See e.g. the Wikipedia articles on cardinal numbers, ordinal numbers, hyperreal numbers, and surreal numbers.
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Re:The Banach–Tarski Paradox [video] by amelius on Monday August 03, 2015 @08:51AM (#9995349)
> There are plenty of senses in which [...]

Yes, perhaps. But still it IS not a number.

Calling infinity a number is a "hack" done by mathematicians.

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