This paper aims to link up the concepts of system bifurcation and system catastrophe with temporal logic in order to show the applicability of dialectical reasoning to metamorphic system transformations. A system catastrophe is an innovation resulting from reorganization resulting from a switch from positive to negative feedback or vice versa. The subsystems would then be oscillators and the truth of any descriptive statement is then distributive. Such oscillations would produce an uncertainty in the temporal trajectory of the system which would increase both towards the past and the future. This means that time is not a scalar dimension, but a quadratic paraboloid distribution of converging and diverging transition probabilities. A social system composed of such oscillators would be heterarchical rather than hierarchical.
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