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

A list of all numbers ending in 4 is infinitely long. 4, 14, 24, 34, 44… A single value for every set of 10 numbers, going on forever.

A list of all numbers ending in 3 should be the same right? 3, 13, 23, 33, 43… A single value for every set of 10.

A list of all numbers ending in 3 OR 6 is infinite as well. 3, 6, 13, 16, 23, 26, 33, 36, 43, 46… But it has two values for every set of 10.

Both lists are infinite, as numbers don’t end at any point. There’s no “biggest number”. But if you imagine an end or compare a set range, by necessity the list of 3&6 should have 2x as many values as the list of 4.

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