Proof That Some Infinities Are Bigger Than Others

The always-excellent Vi Hart (previously) gives one of the most engaging explanations of multiple infinities we've come across in some time.

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Complement with our brief but thorough introduction to infinity.

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H/t TMS

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DISCUSSION

nintendocrazed
Nintendocrazed

I just....I don't get the point.

I've heard these sorts of things before, about having 'multiple infinities' and so-forth, but I'm always underwhelmed by the explanations. The concept of an infinite list never being able to contain all possible numbers just seems so....obvious? Infinity is infinity! Infinity beats infinity, which beats infinity, unless it's beaten by infinity, which is beaten by infinity, which......