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    Home/Original/inverse
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    Inverse View

    It is not the case that Interpretability is a good criterion for fixing a comparison between theories T and T'

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Interpretability is not symmetric: T interpreting T' does not imply T' interprets T, so it cannot ground mutual comparison.
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    • 2.Quine argued that ontological reduction via proxy functions shows interpretability preserves structure but not ontological equivalence.
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    • 3.Two theories can be mutually interpretable yet be fundamentally different in their ontological commitments, undermining interpretability as a neutral comparator.
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    Reason for 2 of 2
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    • 1.Visser and Lindström demonstrated that mutual interpretability strictly weaker than synonymy, so interpretability underdetermines theoretical identity.
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    • 2.Consistency preservation via interpretation conflates proof-theoretic strength with truth, a distinction central to Gödel's incompleteness results.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Interpretability is characterized either in terms of uniform definability of models or the existence of an interpretation map which preserves logical form and provability
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    • 2.Interpretability is helpful for proving consistency, as T' is proved consistent when interpreted in a consistent T
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