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It is not the case that No Final Theory, however empirically adequate, can rule out empirically equivalent indeterministic rivals (van Fraassen's constructive empiricism).
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Reasons For
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Reason for
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1.
Deterministic and indeterministic theories often have different mathematical structures enabling indirect empirical discrimination via precision tests.
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2.
Empirical equivalence is rare and context-dependent; rival theories typically diverge in novel predictions under different experimental conditions.
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3.
Rejecting determinism vs. indeterminism as meaningless confuses epistemology with metaphysics; the distinction may be substantive even if empirically elusive.
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Reasons Against
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Reason against
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1.
Empirical adequacy concerns only observable phenomena; indeterministic rivals making identical predictions are observationally indistinguishable.
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2.
Accepting unobservable differences between empirically equivalent theories commits us to metaphysical claims beyond empirical justification.
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3.
Science's epistemic goal is predictive success, not metaphysical truth about hidden structures or determinism.
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