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Inverse View
It is not the case that If metaphysical laws sustain deductive inference across all possible worlds, D-N explanation extends naturally to metaphysical domains.
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Reasons For
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Reason for
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1.
D-N explanation requires empirically testable predictions; metaphysical laws produce no new observable consequences, blocking falsifiability.
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2.
Deductive inference and metaphysical explanation differ fundamentally: inference is formal/structural, while metaphysical explanation requires ontological grounding.
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3.
Necessity across possible worlds doesn't establish explanatory force; it may only show some truths are immune to explanation, not explained by laws.
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Reasons Against
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Reason against
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1.
D-N explanation succeeds in physics by appeal to universal laws; metaphysical laws (like identity, non-contradiction) are equally universal.
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2.
If metaphysical truths hold across all possible worlds, they function as boundary conditions for any deductive system, enabling valid inference.
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3.
Explanatory power doesn't depend on domain-specificity; any domain with stable laws and logical structure admits D-N explanatory patterns.
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