<p>I am not familiar with cognitive science specifically, but most advanced fields can be approached from several different departments. I was interested in a plasma science lab, and they had grad students and researchers in each of electrical engineering, nuclear engineering, mathematics, and physics, all doing more or less the same thing - the difference is that they focused on those parts of the research that were closest to their specific area of study. I suspect that cognitive science is the same way - psychologists, neurophysiologists, biochemists… all could probably study some part of cognitive science, and vice versa.</p>