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It is not the case that Therefore the Newton example illustrates a trade-off between logical and representational adequacy, not their simultaneous achievement.
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Reasons For
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Reason for
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1.
Newton's theory can be formalized to be both logically rigorous AND empirically adequate for its domain of application.
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2.
Representational inadequacy and logical inadequacy are distinct problems; showing one doesn't prove their necessary trade-off.
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3.
Einstein's theory succeeds by being both more logically sophisticated AND more representationally accurate, disproving the trade-off thesis.
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Reasons Against
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Reason against
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1.
Newton's mechanics is logically consistent yet misrepresents gravity as action-at-a-distance, a metaphysically problematic mechanism.
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2.
General relativity represents gravity more accurately but sacrifices the intuitive logical clarity of Newtonian force concepts.
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3.
Any formal system has limits; achieving perfect logical rigor and perfect empirical accuracy simultaneously may be theoretically impossible.
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