Why the hell are there so many “infinities”, in the field of mathematics specifically, and what do they mean and their differences?

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I saw a yt vid on largest numbers etc, and extremely baffled by how many versions of infinities are. Didnt know it has premium version like absolute and the regular infinity. lol

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Anonymous 0 Comments

So the craziest thing is exactly how many infinites there actually are. You might try to count them and assign a number to them – maybe there are countably many infinities? Maybe there’s an uncountably number of infinities? Surely not because that would be insane.

The reality is even more crazy: There are more infinities than any infinity can count!

This means that if you choose any infinity X, no matter the size, and find a set whose size is X which is made from X different infinities then you will be guaranteed to have missed some infinites. You could try this again with some of those infinities that you missed but you would always find *more*. So there must be more infinities than any individual infinity can count!

This result is known as [Cantor’s Paradox](https://en.wikipedia.org/wiki/Cantor%27s_paradox) and how to make these missing infinities is the second theorem in the link.

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