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

There is a hotel that has an infinite number of rooms. A travel soccer team shows up, they are the team “infinite even” numbers. They take up every room. The next day team infinite odd shows up and needs rooms. The hotel isn’t big enough, all the rooms are filled. The hotels would need a larger infinite number of rooms to house both teams.

What about when team an infinite fractions shows up? Now we need a larger hotel with more rooms…

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