These ideas are explored to great lengths by Douglas Hofstadter,
http://en.wikipedia.org/wiki/Douglas_Hofstadter
in "Gödel, Escher, Bach", and more recently
"I am a strange loop".
http://en.wikipedia.org/wiki/I_Am_a_Strange_Loop
If you are interested in the idea of 'loopiness', I'd just recommend to read the books.