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    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

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

    It is not the case that Every inference uniquely determines a corresponding argument

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.The same inference can be performed under different conceptual schemes, yielding propositions with distinct logical structures depending on how terms are carved.
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    • 2.Bolzano's principle G presupposes a unique decomposition of mental content into propositions, but Frege's context principle shows propositional identity is use-relative, not intrinsic.
      ?

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    • 3.If proposition identity is not fully determined by judgment content alone, distinct arguments can correspond to a single inference, violating the uniqueness claim.
      ?

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    Reason for 2 of 2
    ?
    • 1.Wittgenstein's rule-following considerations establish that no finite set of judgments uniquely determines which inferential rule governs the transition between them.
      ?

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    • 2.If the inferential step in a judgment-sequence underdetermines which logical rule is applied, multiple distinct argument structures—with different propositional connectives—map onto the same inference.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Each judgment involved in an inference uniquely determines a proposition as its material (due to principle G)
      ?

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    • 2.An inference consists of a set of judgments and a concluded judgment
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    • 3.An argument is the propositional counterpart of an inference
      ?

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