Some Infinities Are Bigger Than Other Infinities

"There are infinite numbers between 0 and 1. There's 0.1 and 0.12 and 0.112 and infinite collection of others. Of course, there is a bigger infinite set of numbers between 0 and 2, or between 0 and a million. Some infinities are bigger than other infinities. A writer we used to like taught us that. There are days, many of them, when I resent the size of my unbounded set. I want more number than I'm likely to get, and God, I want more numbers for Augustus Waters than he got. But, Gus, my love, I cannot tell you how thankful I am for our little infinity. I wouldn't trade it for the world. You gave me forever within the numbered days, and I'm grateful." - Hazel Grace Lancaster, The Fault In Our Stars.

p.s: I cried so hard in this part.