A theoretical analysis of the nature of developmental stages is presented. A formal model of the relationship of knowing is outlined from which developmental stages, egocentrism, and vertical decalage can be derived as logically necessary consequences. A number of implications of the model for the nature of developmental stages are discussed, and it is noted that these implications show several important divergences from Piaget. The underlying model of knowing is illustrated, primarily with respect to imagery.
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Mark H. Bickhard (2009) studied this question.