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    Carmelics

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    Made withinDC&Austin
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    42
    Home/Original/inverse
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    Inverse View

    It is not the case that A purely formal analogy with no physical significance cannot support a plausible analogical inference in physics.

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Historical cases show purely formal analogies have generated empirically successful predictions before physical meaning was established.
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    • 2.Dirac's use of mathematical symmetry in the Dirac equation predicted antimatter before any physical interpretation of negative-energy solutions existed.
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    • 3.If a formally grounded inference can reliably track physical reality prior to interpretation, formal analogy alone can support plausible inference.
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    Reason for 2 of 2
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    • 1.Wigner's 'unreasonable effectiveness of mathematics' suggests formal structure and physical significance are not cleanly separable in advance.
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    • 2.The distinction between 'purely formal' and 'physically significant' analogy may be epistemic rather than ontological, reflecting current ignorance rather than absence of physical basis.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Plausible analogical inference requires that the shared structural features carry some physical meaning.
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    • 2.A purely formal analogy is founded only on mathematical similarities with no known physical basis.
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