Well I didn't actually see the Matrix but I've seen other movies where with similar sorts of themes.
Roger PenroseWell, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.
Roger PenroseWell, I donโt know if I can comment on Kant or Hegel because Iโm no real philosopher in the sense of knowing what these people have said in any detail so let me not comment on that too much.
Roger PenroseWith thought comprising a non-computational element, computers can never do what we human beings can.
Roger PenroseThere is a certain sense in which I would say the universe has a purpose. It's not there just somehow by chance. Some people take the view that the universe is simply there and it runs along-it's a bit as though it just sort of computes, and we happen by accident to find ourselves in this thing. I don't think that's a very fruitful or helpful way of looking at the universe, I think that there is something much deeper about it, about its existence, which we have very little inkling of at the moment.
Roger Penrose