That's a really interesting point. I hadn't drawn that connection before.
And if anyone's reading this and hasn't read Hofstadter, you're making a mistake, it's utterly perspective-changing stuff. Well, it was for me, at least.
You are guilt-tripping me for using my copy of Godel, Escher, Bach to raise my monitor before I got around to reading it.
And don’t feel you need to go straight to GEB, either. I think his collection of Scientific American columns, Metamagical Themas, is also great and much more accessible.