The Hard Problem of Consciousness

We know empirically that there are lots of correlations between brain activity and specific conscious experiences. So for example, my experience of color is correlated with activity in a part of the brain's cortex called area V4. And if I have a stroke in area V4 in the left hemisphere of my brain, I will lose all color experiences in the right part of my visual world. The problem is we've been trying now to develop a science of consciousness; we actually now want mathematically precise theories.