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
Think of all even numbers. 2, 4, 6, 8… It goes on forever and is obviously infinite. Then think of all whole numbers: 1, 2, 3, 4… This also goes on forever and is obviously infinite, but at the same time it’s also clearly twice as big as there are twice as many numbers as in the set of even numbers.
Maybe if it helps, think of them both as infinitely large sets, but the natural numbers set is twice as dense as the even numbers set. And that’s why it’s considered bigger.
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