Greg Chaitin has lots of lectures about this up on youtube http://www.youtube.com/results?search_query=greg+chaitin http://www.youtube.com/results?search_query=

Greg Chaitin has lots of lectures about this up on youtube http://www.youtube.com/results?search_query=greg+chaitin http://www.youtube.com/results?search_query=greg+chaitin He is a very watchable speaker. There's an amusing moment in one of them where he talks about getting high on hyperoperators. I wish I could remember which one it was. Among other things he tries to convince you that real numbers are a figment of our imagination, an obvious consequence of digital physics, but still quite startling. He has decent arguments.