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

1.62K viewsMathematicsOther

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

Imagine an infinity that consists only of all the odd numbers : 1, 3, 5, 7, 9 etc.

Imagine an infinity that consists only of al the even numbers : 2, 4, 6, 8, 10 etc

Either of these groups contains only half of all the numbers, but is still infinite.

Now imagine an infinity that consists of ALL numbers : 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 etc

That last group consists of twice as many numbers as either of the first two groups, and so is larger. But they are all infinite.

You are viewing 1 out of 34 answers, click here to view all answers.