Here is a book set in the incredibly far future. I was not too sure on the plot, but the vision was interesting. It shows a city governed by a huge Central Computer that generates all their needs and keeps them all eternally young. This is what humans think is the only place left that humans live, but then the protagonist finds another settlement of humans, who have decided to accept mortality. This sounds like it is going to be an interesting discussion of the question of : would you like to live forever if you could? To me the answer is OF COURSE.
Anyway, that is not where the book goes, it goes into robot worms and stuff. But I still enjoyed it. And I loved learning about the life of Arthur C Clarke, who peaced out of the UK at forty to go live in Sri Lanka and scuba and be gay and write books.