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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 conservative extension result is only as robust as the reconstruction it presupposes, so disputed reconstructions yield disputed conservation results.

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    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Some conservation results hold across all reasonable reconstructions, making them robust despite reconstruction disputes.
      ?

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    • 2.A reconstruction can be epistemically uncertain yet still correctly track logical consequences if the disputed elements are irrelevant.
      ?

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    • 3.Robustness degrees exist: results resistant to small reconstruction changes differ from those sensitive to minor reinterpretations.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Conservative extension theorems rest on formal mappings between theories; ambiguous reconstructions create multiple possible mappings.
      ?

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    • 2.If two reconstructions differ on which formulas count as theorems, they yield different conservation results for the same theory pair.
      ?

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    • 3.Without consensus on reconstruction, there's no fact of the matter about what the original theory actually claimed or entailed.
      ?

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