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    Every inference uniquely determines a corresponding argument — Carmelics
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    Supports→Logical concepts such as logical consequence and logical probability can be applied indirectly to mental inferences

    Every inference uniquely determines a corresponding argument

    Philosophy of LanguageTruth & Knowledge
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    1 reason for
    2 reasons against

    Reasons For

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    Reason for
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    • 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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    Reasons Against

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    Reason against 1 of 2
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    • 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 against 2 of 2
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    • 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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    Philosophy of LanguageTruth & Knowledge

    Related

    An argument is the propositional counterpart of an inferenceAn inference consists of a set of judgments and a concluded judgmentBolzano's principle G presupposes a unique decomposition of mental content into ...Each judgment involved in an inference uniquely determines a proposition as its ...
    +7 moreShow less
    If proposition identity is not fully determined by judgment content alone, disti...If the inferential step in a judgment-sequence underdetermines which logical rul...Logical concepts such as logical consequence and logical probability can be appl...Logical consequence and logical probability are defined for argumentsProperties of the determined argument can be transferred back to the inference t...The same inference can be performed under different conceptual schemes, yielding...Wittgenstein's rule-following considerations establish that no finite set of jud...

    Similar

    An argument is the propositional counterpart of an inference78%Properties of the determined argument can be transferred back to the i...78%Each judgment involved in an inference uniquely determines a propositi...78%An argument requires premises and a conclusion connected by inference76%

    Source

    AI-extracted
    SEP: bolzano
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    Judgments are psychical phenomena and they belong therefore not to World 3 but to our real world. Each judgment is an act or event that takes place at a certain time in a certain mind and is herewith part of a causal network. As a part of our real world, each judgment comes into being in time (and will pass away later on). From an epistemological point of view it is of particular relevance whether a judgment is caused or mediated by other judgments or whether this is not the case, i.e., whether

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    premise
    Perspectives
    3 (1 for, 2 against)
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    1 edit