Geometric analysis of the dynamic inferential: From infancy to adolescence

Authors

  • Fabián Labra Departamento de Psicología, de Universidad de Chile
  • Ariel Quezasa L. Departamento de Psicología, Universidad de Chile
  • Omar Cañete I. Departamento de Psicología, Universidad de Chile
  • Mauro Basaure Departamento de Psicología, Universidad de Chile
  • Pablo Mora Departamento de Psicología, Universidad de Chile

Abstract

This present study is a descriptive approximation to synthetic inferential processes of thought from a dynamic standpoint. A concrete experimental paradigm was build, to present and study the dynamics of inferential thought processes that are involved in solving a problem (the strategy game known as "Battleship"). The geometric tools used to describe the inferential dynamics of the participants was the fractal dimension and cumulative lenght. The task problem was presented  to the same children at two ages. The results obtained allowed: a) to describe the inferential dynamics of participants while dealing with the problem posed, and b) to characterise through a model the dynamic patterns of the inferential procedure of each individual of the sample. Our results suggest that each child has his own functional dynamic unit of synthetical inferential thought processes. Moreover, differences between the dynamic patterns of inferential procedure were found in each child at two different ages.