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Directory:Jon Awbrey/Papers/Differential Logic and Dynamic Systems 2.0 (view source)
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By way of example, suppose that we are given the initial condition <math>A = \operatorname{d}A</math> and the law <math>\operatorname{d}^2 A = (A).</math> Since the equation <math>A = \operatorname{d}A</math> is logically equivalent to the disjunction <math>A \operatorname{d}A\ \operatorname{or}\ (A)(\operatorname{d}A),</math> we may infer two possible trajectories, as displayed in Table 11. In either of these cases, the state <math>(\operatorname{d}A)(\operatorname{d}^2 A)</math> is a stable attractor or a terminal condition for both starting points.
By way of example, suppose that we are given the initial condition <math>A = \operatorname{d}A</math> and the law <math>\operatorname{d}^2 A = (A).</math> Since the equation <math>A = \operatorname{d}A</math> is logically equivalent to the disjunction <math>A\ \operatorname{d}A\ \operatorname{or}\ (A)(\operatorname{d}A),</math> we may infer two possible trajectories, as displayed in Table 11. In either case the state <math>A\ (\operatorname{d}A)(\operatorname{d}^2 A)</math> is a stable attractor or a terminal condition for both starting points.
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