Accomodation / Assimilation / Equilibration - Piaget
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A more immediate obstacle to raising and resolving the problem of topologies, however, was
Piaget's conception of developmental construction as the equilibration of cognitive
structures. Equilibration is not a constructive
<i>process</i>
at all. It is a
<i>tendency</i>
toward equilibrium; that is, toward certain properties of the operative structures that
get constructed (Bickhard, 1988; Campbell & Bickhard, 1992b). Piagetian constructions are
of potential actions and potential meta-actions -- coordinations of actions. He was
particularly concerned with the fascinating mathematical and logical properties that
emerge when a space of potential meta-actions is constructively exhausted, producing a
closed algebraic organization like a group. Piaget's (1985) model of equilibration never
specified the
<i>processes</i>
of such construction, only some of the functional properties of the resulting
constructions, like their reversibility or their tendency toward algebraic closure.
Without such a model of the processes of construction -- of macrogenesis and microgenesis
-- Piaget could not deliver a constructive topology.
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