It 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 PenroseWith thought comprising a non-computational element, computers can never do what we human beings can.
Roger PenroseSome years ago, I wrote a book called the Emperorโs New Mind and that book was describing a point of view I had about consciousness and why it was not something that comes about from complicated calculations.
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