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Inverse View
It is not the case that Past success of Pythagorean analogies in physics provides reason to continue using them
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Reasons For
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Reason for 1 of 2
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1.
Inductive inference from past success to future reliability commits the problem Hume identified: no non-circular justification exists for inductive reasoning itself.
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2.
Pythagorean analogies have also generated physically fruitless dead-ends (e.g., Kepler's Mysterium Cosmographicum), so the historical record is mixed, not uniformly confirmatory.
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Reason for 2 of 2
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1.
Laudan's pessimistic meta-induction shows that historically successful scientific strategies are routinely abandoned as frameworks change, undermining confidence in their continuation.
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2.
The success of Pythagorean analogies may reflect contingent features of classical physics rather than a stable method transferable across paradigm shifts.
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Reasons Against
1 perspective
Reason against
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1.
Similar strategies have worked well in the past
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2.
Past success of a reasoning strategy is reason enough to continue pursuing it
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