1) "Godel, Escher, Bach" by Douglas R. Hofstadter
2) "Separate Ways" by Journey or "Take On Me" by Aha... something
similar.
3) Non-existent: "Algernon's Law" by Orson Scott Card in his prime.
--
sentience@pobox.com Eliezer S. Yudkowsky
http://tezcat.com/~eliezer/singularity.html
http://tezcat.com/~eliezer/algernon.html
Disclaimer: Unless otherwise specified, I'm not telling you
everything I think I know.