A qualitative model for the dynamics of cognitive processes |
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Authors: | Donald G Saari |
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Institution: | Department of Mathematics, Northwestern University, Evanston, Illinois 60201 USA |
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Abstract: | A qualitative model is constructed for adaptive processes and, in particular, for Piaget's theory of cognitive development. One of its main features is to describe the threshold period between stages of development. The basic approach is to isolate some general properties of Piaget's theory, and then use Thom's catastrophe theory as the major tool to obtain a geometric representation for a certain aspect of this theory. |
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