I read the book, and it was sometimes boring, still there's a lot of positive things makes you continue with the book. I got to learn about the works of Godel, Escher and Bach. And then about the patterns which exist in nature, or any work, where we never thought it could be a pattern. Anyways, I'm not a mathematician or a physicist to comment on Godel's work. I think the book is worth reading, whether it contributed to computer science or not, i do not know.