Well, жалко, but I can't say I'm surprised.
The connection is "Metamagical Themas".
You can see a brief description of Hofstadter's work at Wikipedia: http://en.wikipedia.org/wiki/Douglas_Hofstadter

The book version of Metamagical Themas has to count as one of the most fascinating things I've ever read. But he's much more famous for "Godel, Escher, Bach".