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It is not the case that Leibniz's own dynamics required attributing living force (vis viva) intrinsically to individual bodies, not merely to body-pairs in relation.
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Reasons For
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Reason for
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1.
Vis viva mathematically depends on relative velocity (mv²), making it fundamentally relational despite Leibniz's metaphysical commitments.
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2.
Attributing intrinsic force to bodies risks conflating metaphysical substance with physical properties, blurring distinct ontological categories.
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3.
Conservation laws work equally well without intrinsic forces; Leibniz may have imported metaphysical requirements unnecessary for actual dynamics.
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Reasons Against
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Reason against
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1.
Leibniz's monads are metaphysically independent substances, so each must possess its own intrinsic force rather than deriving force from relations.
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2.
Motion requires an active principle; attributing vis viva only to relations leaves individual bodies passive, contradicting physical causation.
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3.
Leibniz explicitly rejected Cartesian mechanics; intrinsic force in bodies explains why extension alone cannot account for dynamic phenomena.
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