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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 Two positions can share a conclusion about exponentiation while differing so fundamentally in justification that no genuine anticipation relation holds between them.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.If two positions entail identical mathematical truths, they have converged on the same reality; justificatory paths are epistemologically secondary.
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    • 2.Anticipation tracks whether one theory could predict another's results, not whether their reasoning processes share structure—matching conclusions suffice.
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    • 3.Insisting justification matters for anticipation creates ad-hoc criteria; standard philosophical usage ties anticipation to empirical or logical overlap, not metaphysical justification.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Justificatory depth fundamentally constitutes understanding; identical conclusions from different foundations represent different cognitive achievements.
      ?

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    • 2.Anticipation requires one position to have been reasonably derivable from or predictable by the other; divergent justifications block such derivability.
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    • 3.A medieval scholar's exponent rules via analogy differ epistemically from modern formal algebra, even if both predict 2^3=8 correctly.
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