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    Carmelics

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    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Wigner's 'unreasonable effectiveness of mathematics' is explicable if physical laws are themselves mathematical structures, as structural realists like Ladyman and French argue.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Calling laws 'mathematical structures' relabels the problem rather than solving it—it explains neither why mathematics exists nor why it fits.
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    • 2.Structural realism faces the regress problem: describing only relational structure requires that relations relate to something determinate.
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    • 3.Many domains (biology, geology) resist mathematical formalization yet remain empirically successful, suggesting effectiveness isn't fundamental.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Mathematics describes structural relationships; physical laws describe how systems relate. If laws ARE structures, mathematics naturally applies.
      ?

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    • 2.Only structural realism avoids both the mystery of applicability and commitment to unobservable properties physics doesn't require.
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    • 3.Our most successful theories (QM, relativity) are formulated as abstract mathematical structures, not descriptions of intrinsic properties.
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