Hierarchies are not real in an external world, they are heuristic epistemological devices. Mathematically they are partially ordered sets. Hierarchies are occupied by entities inserted at levels. The levels are sets that have an asymmetric relationship. Complex systems appear hierarchical and require a constructivist approach. Rosen’s modeling relation deals with hierarchies when it links formal models to analogical observables. The new computational power lets us address hierarchical complexity. In the end hierarchies are medium number and contradictory.
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