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    It is not the case that Poincaré and later Duhem demonstrated that appeals to theoretical elegance and mathematical coherence constitute legitimate, non-arbitrary epistemic criteria in physical theory choice.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Elegance is culturally contingent and historically variable; what counts as 'elegant' reflects aesthetic prejudice, not objective epistemic merit.
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    • 2.Empirical track record shows simpler theories often fail where complex ones succeed; predictive power, not elegance, is the true success-indicator.
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    • 3.Poincaré and Duhem offered pragmatic arguments for convenience, not epistemically rigorous justifications that legitimize elegance as truth-tracking criterion.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Empirically equivalent theories exist (underdetermination); elegance/coherence then legitimately guide choice among observationally adequate options.
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    • 2.Mathematical coherence correlates with predictive success and unification across domains, suggesting it tracks real structural features of nature.
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    • 3.Pure empiricism cannot justify theory choice without additional criteria; elegance provides principled, reproducible grounds superior to arbitrary preference.
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