by Douglas Hofstadter


I first heard about the book last year at Dagstuhl, in a discussion with Stephen Koburov. Now that I read it, I am grateful to Stephen for pointing me to an an Extremely Good Book.
In GEB, Hofstaedter performs an entertaining intelectual slalom between fugues, paintings and incompletness theory in order to eventually arrive at the finish line: the discussions on artificial inteligence. Even if I happen to disagree with the author on his optimism about the the emergence of artificial inteligence, I found the book to be a remarcable lecture.
The topics discussed in the book are various. Mathematics. Music. Goedel. Recursivity. Bach. Programs. Genetics (i found this part extremely nicely written). Intelligence. Formal systems. Programming languages. Escher. Margitte. And all of them, braided with the notorious dialogues between Achiles, the Tortoise and their friends, but all of them supporting a single thesis.
One great peculiarity of GEB is the playful unity between form and content. One of the many possible examples of tight unity is the dialogue in which Achilles tells the Tortoise about an author who invented a type of dialogue which would have a logical ending followed by extra paragraphs that would serve as a device to hide the real ending; because the extra paragraphs would be logically unrelated to the dialogue, the careful reader would still be able to spot them. As one already expects when he got that far in the book, the dialogue has a logical ending followed by extra paragraphs that serve as a device to hide the real ending; because the extra paragraphs are logically unrelated to the dialogue, the careful reader will still be able to spot them…
Two are of my ultimate favourite sections in the book. One is the part in which H. explains the self as being a symbol in our brain, but a special one, the one which is associated to our body. We have symbols for all the concepts but as this is all the time involved, as this is the one whrought wich we can make sense of all the others, it is natural that we have a more special relation with it. The second part is the one on typogenetics - a simplified version of genetics which shades light on the amazing way in which the genetics work.
I could write much more about it but maybe another time. My advice now is just Escape and Get the Book!