Infinity - Infinity

“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.” 

― John Green, The Fault in Our Stars