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This paper is meant to open the question of whether inferential functioning has a dynamic non lineal system structure. Inferential functioning has been studied from four graphic jokes. The first outcomes on the statistical linear k-means, show different profiles according to different inferential functioning in terms of different jokes. And when these results are been analyze by wavelet technique, it has been found that inferential functioning have a multifractal nature. These results show patterns of inferential operations that account for multifractal nature, without a fixed sequential and no apparent order. This implies a need to reconsider the design of fixed and sequential stages that dominate the study of cognitive development.

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