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    Carmelics

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

    It is not the case that Inference to the best explanation requires ruling out equally explanatory alternatives, and nominalist reconstructions of mathematical explanations have not been demonstrated to be inferior.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Nominalist reconstructions require cumbersome paraphrases that obscure the genuine explanatory work done by mathematical abstractions in physical science.
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    • 2.Indispensability arguments show mathematics is irreplaceably embedded in our best scientific theories, suggesting mathematical objects are genuinely required.
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    • 3.Nominalist accounts have demonstrably failed for advanced mathematics (category theory, topology), indicating they are not actually equally explanatory.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Nominalist reconstructions successfully explain mathematical patterns using only physical objects and logical structure, without positing abstract entities.
      ?

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    • 2.Platonism faces the access problem: if numbers are abstract and causally inert, explaining how we reliably know them remains philosophically unresolved.
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    • 3.Parsimony favors theories with fewer ontological commitments when explanatory power is equal, making nominalism preferable if equally successful.
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