If the computer-guided robots turn out to be our superiors in every respect, then will they not find that they can run the world better without the need of us at all? Humanity itself will then have become obsolete. Roger Penrose Read Quote
I used to make polyhedra with my father. There were no clear lines between games and toys for children and his professional work. Roger Penrose Read Quote
When I was in Cambridge reading mathematics, I went to Amsterdam for the International Mathematics Congress. There I saw M.C. Escher’s fascinating work. That inspired me to try my hand at drawing such impossibilities. Roger Penrose Read Quote
I have certainly enjoyed puzzles since an early age, and things that look like impossible things are often particularly intriguing. Roger Penrose Read Quote
As you say, the way string theory requires all these extra dimensions and this comes from certain consistency requirements about how string should behave and so on. Roger Penrose Read Quote
Well, 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 Penrose Read Quote
So what I’m saying is why don’t we think about changing Schrodinger’s equation at some level when masses become too big at the level that you might have to worry about Einstein’s general relativity. Roger Penrose Read Quote
Well, I don’t know if I can comment on Kant or Hegel because I’m 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 Penrose Read Quote