This discussion of the powerful and mysterious connection between physics and mathematics begins with a look at the relationship between mathematics and cognition itself. Mathematics' deep, biological source associates it with a searching, instinctual will. To build this perspective, the paper surveys observations in cognitive science, physics, and mathematics, developing the idea that mathematics both characterizes what we see and how we see it. In this light mathematics can be viewed as a manifestation of the structural coupling of an organism with its environment, providing, perhaps, new insight into both.
Joselle DiNunzio Kehoe