I cannot understand how there are “larger infinities than others” no matter how hard I try.

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I have watched many videos on YouTube about it from people like vsauce, veratasium and others and even my math tutor a few years ago but still don’t understand.

Infinity is just infinity it doesn’t end so how can there be larger than that.

It’s like saying there are 4s greater than 4 which I don’t know what that means. If they both equal and are four how is one four larger.

In: Mathematics

34 Answers

Anonymous 0 Comments

List every possible number between 1 and 2

1, 1.00001, …. 1.99999999 etc

Now do the same for all numbers between 10 and 20

Both are an infinite series, but the second is across a wider range.

This is not a perfect analogy, but as you can see two infinite series can have differing scales

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