With thought comprising a non-computational element, computers can never do what we human beings can.
Roger PenroseMy own way of thinking is to ponder long and I hope deeply on problems and for a long time which I keep away for years and years and I never really let them go.
Roger PenroseBut I think it is a serious issue to wonder about the other platonic absolutes of say beauty and morality.
Roger PenroseIt is always the case, with mathematics, that a little direct experience of thinking over things on your own can provide a much deeper understanding than merely reading about them.
Roger Penrose