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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that A translation that preserves truth value across indeterminate referents does not establish consistency but merely hides the ontological arbitrariness Benacerraf diagnosed.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.If translations preserve truth value systematically, they achieve the practical goal of mathematics regardless of whether ontology is 'truly' justified.
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    • 2.Benacerraf's challenge assumes determinate reference is required for knowledge; but structural equivalence across models may be epistemically sufficient.
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    • 3.Calling consistency 'mere hiding' begs the question—consistency across indeterminate frameworks may actually resolve rather than conceal arbitrariness.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Benacerraf's indeterminacy problem shows mathematical objects lack determinate reference; translation cannot solve what is fundamentally metaphysical.
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    • 2.Preserving truth value across different ontologies merely redistributes the arbitrariness rather than justifying any particular ontological commitment.
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    • 3.Consistency is a logical property about formal systems, not evidence that our translation maps onto reality; it masks deeper ontological questions.
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