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    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

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    Home/Original/inverse
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    Inverse View

    It is not the case that If mathematical necessity can obtain mind-independently, spatio-temporal structure grounded in mathematics (as in Euclidean geometry) may likewise be mind-independent.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Mathematical necessity may be a property of concepts, not objects—true in all possible worlds but not evidence of mind-independent existence.
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    • 2.Euclidean geometry describes *possible* structures, not necessarily the *actual* spatio-temporal structure instantiated in our universe.
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    • 3.The inference from 'mathematical truths are mind-independent' to 'spatio-temporal structures are mind-independent' commits a category error.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Mathematical truths (like 2+2=4) hold necessarily regardless of minds, so their ontological status is mind-independent.
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      Think about whether this reason is strong or weak

    • 2.If mathematics describes spatial structure in Euclidean geometry, and mathematics is mind-independent, then that structure is too.
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      Think about whether this reason is strong or weak

    • 3.Physical laws appear to instantiate mathematical relationships, suggesting mathematics grounds reality rather than merely describing it.
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