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This article aims to interpret Leibniz’s dynamics project ( circa  1678–1700) through a theory of the  causation  of corporeal motion. It presents an interpretation of the dynamics that characterizes physical causation as the structural organization of phenomena. The measure of living force ( vis viva ) by  mv  2  must then be understood as an organizational property of motion conceptually distinct from the geometrical or otherwise quantitative magnitudes exchanged in mechanical phenomena. To defend this view, we examine one of the most important theoretical discrepancies of Leibniz’s dynamics with classical mechanics, the measure of  vis viva  as  mv  2  rather than ½  mv  2 . This “error”, resulting from the limits of Leibniz’s methodology, reveals the systematic role of this quantity  mv  2  in the dynamics. In examining the evolution of the quantity  mv  2  in the refinement of the force concept ( vis ) from  potentia  to  actio , I argue that Leibniz’s systematic limitations help clarify dynamical causality as neither strictly metaphysical nor mechanical but a distinct level of reality to which Leibniz dedicates the “ dynamica ” as “ nova scientia ”.

Potentia , actio , vis : the Quantity mv 2 and its Causal Role