ABSTRACT

Among the most recent of new conceptual transfusions from mathematical thinking are ideas that have percolated into psychology from studies of dynamical nonlinear systems. Psychology, beset with all of its conceptual difficulties, complexities, and logical challenges, has always harbored some of the most aggressive and ingenious adaptors of scientific developments from other fields. Many fundamentally linear models and theories of the recent past were only gross approximations to cognitive or neural activity. Cognitive processes modeled by hydraulic, pneumatic, electrical, cybernetic, computational, informational, statistical and control system. Nowadays, even by the annealing of glass or the distribution of molecules in a gas, or, most recently, by mathematics that had originally used for the description of the dynamics of complex gravitational systems. Mathematics and science are, of course, filled with quantities that originated in geometry but eventually came to be used in analytic relationships.