"My name is Hazel.
Augustus Waters was the great star-crossed love of my life. Ours was an epic love story, and I won't be able to get ore than a sentence into it without disappearing into a puddle of tears.
Gus knew. Gus knows. I will not tell your our love story, because - like all real love stories - it will die with us, as it should. I'd hoped that he'd be eulogizing me, because there's no one I'd rather have... I can't talk about our love story, so I will talk about math. I am not a mathematician, but I know this.
There are infinite numbers between 0 and 1. There's .1 and .12 and .112 and an 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 numbers 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 a forever within the numbered days, and I'm grateful." - Hazel's eulogy