%0 Journal Article
%T Deterministic dynamics and chaos: Epistemology and interdisciplinary methodology
%A Catsigeras
%A Eleonora
%J Interdisciplinaria
%D 2011
%I Scientific Electronic Library Online
%X we analyze, from a theoretical viewpoint, the bidirectional interdisciplinary relation between mathematics and psychology, focused on the mathematical theory of deterministic dynamical systems, and in particular, on the theory of chaos. on one hand, there is the direct classic relation: the application of mathematics to psychology. on the other hand, we propose the converse relation which consists in the formulation of new abstract mathematical problems appearing from processes and structures under research of psychology. the bidirectional multidisciplinary relation from - to pure mathematics, largely holds with the ¡®hard' sciences, typically physics and astronomy. but it is rather new, from the social and human sciences, towards pure mathematics. summarizing, the problem we focusing in this paper, is not only the application of the mathematical theory of dynamical systems to psychology, but mainly the following questions: which psychological processes are involved in the development of pure mathematics? how can a multidisciplinary space be organized to activate the converse relation, from psychology towards pure mathematics? how may psychology provide a rich field of new mathematical questions to be investigated, not only by applied mathematicians, but also by researchers on pure mathematics? even if large advances had been achieved, the application of the mathematical theory to psychology is still mainly developed by mathematical psychologists and applied mathematicians, in the absence of pure mathematicians. conversely, the development of the pure mathematics is now a days mainly developed in the absence of applied scientists, particularly of human and social researchers. this is the opposite situation to the antique posture, in which theoretical mathematics and philosophy, for instance, were almost a single science. along this paper we aim to found how the potential strength of the mathematical tools can be more fully exploited in the interdisciplinary space, an
%K dynamical systems
%K chaos
%K mathematical psychology
%K interdisciplinary methodology
%K epistemology.
%U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S1668-70272011000200008&lng=en&nrm=iso&tlng=en