Strong AI is Wrong
  1. All thinking is computation
  2. Awareness is a feature of the brain's physical activity
  3. Awareness cannot be simulated computationally
  4. Awareness cannot be explained by science.
Penrose argues for 3.
See also Arguments for Strong AI
Penrose suggests there are four different viewpoints on whether computers of the future will have minds:
A. All thinking is computation; in particular, feelings of conscious awareness are evoked merely by the carrying out of appropriate computations.
B. Awareness is a feature of the brain's physical action; and whereas any physical action can be simulated computationally, computational simulation cannot by itself evoke awareness.
C. Appropriate physical action of the brain evokes awareness, but this physical action cannot even be properly simulated computationally.
D. Awareness cannot be explained by physical, computational, or any other scientific terms."
("The Emperor's New Mind" page 12)

Penrose argues for C.
See also my arguments for Strong AI