For example, here's something that Michael Gazzaniga, one of America's leading neuroscientists, wrote while he was still at Dartmouth College (he left in 2002). He is well-known for his work with people who had the "bridge" between the right hemisphere and the left hemisphere of their brains cut, "split-brain" patients.

"After many years of fascinating research on the split brain, it appears that the inventive and interpreting left hemisphere has a conscious experience very different from that of the truthful, literal right brain. Although both hemispheres can be viewed as conscious, the left brain’s consciousness far surpasses that of the right. Which raises another set of questions that should keep us busy for the next 30 years or so."