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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 The assumption that continuous mathematics maps exactly onto physical reality commits a category error identified by Hartry Field and structural realists: mathematical representation is not identity with the target domain.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Physics cannot even be formulated without continuous mathematics; rejecting the mapping undermines the only language science has.
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    • 2.The predictive and explanatory success of continuous models suggests they capture something real about physical structure, not merely representation.
      ?

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    • 3.Distinguishing 'representation' from 'identity' doesn't establish they're wholly separate—maps succeed precisely because they preserve relevant features.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Mathematical infinities (real numbers, infinite sets) have no physical counterparts, yet physics relies on them constantly.
      ?

      Think about whether this reason is strong or weak

    • 2.Field's nominalism shows physics needs only structural relations, not commitment to abstract mathematical objects themselves.
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    • 3.A map representing territory is not identical to territory; confusing representation with reality is precisely a category error.
      ?

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