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It is not the case that Elimination of rivals through formal rather than empirical means establishes logical consistency, not observational adequacy, as the operative constraint.
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Reasons For
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1.
Empirical adequacy ultimately constrains which formal systems we accept; logically consistent theories contradicted by observation are abandoned regardless.
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2.
Formal elimination of rivals often depends on unstated empirical assumptions about what counts as simpler or more elegant, smuggling empirical constraints back in.
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3.
History shows theories fail not from logical inconsistency but from empirical failure; formal consistency is necessary but never sufficient for acceptance.
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Reasons Against
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Reason against
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1.
Formal logic can eliminate contradictions between theories without requiring empirical data, proving consistency is achievable through reasoning alone.
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2.
Science historically accepted theories (Ptolemy's epicycles) that were logically consistent but empirically inadequate, showing consistency ≠ observational fit.
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3.
When multiple theories fit current data equally well, formal parsimony arguments decide between them, making logical constraints operative over empirical ones.
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