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 PenroseThere are considerable mysteries surrounding the strange values that Nature's actual particles have for their mass and charge. For example, there is the unexplained 'fine structure constant' ... governing the strength of electromagnetic interactions.
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 PenroseNo doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending parrot-like apparent competence--a duty and a duty alone--and no hint of magic or beauty of the subject might be allowed to come through.
Roger Penrose