Abstract
Modern economic growth theory is trapped by its own equilibrium. This paper proves that the neo and new classical growth models do not derive growth and that they do not succeed in bringing population and households into the scene. To break through the development trap, this paper applies a mathematical concept called open set. The infinitesimal approach to the limit of the open set unleashes the power for unlimited growth. In addition to productive entrepreneurs, this paper also describes the behaviors of those unproductive and destructive ones. These latter ones are responsible for many financial crises, including the current mortgage-back crisis.
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