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    Made withinDC&Austin
    Lange's argument is flawed because it relies on the unack... — Carmelics
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    Home/Causation
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    Lange's argument is flawed because it relies on the unacknowledged assumption that a universal sentence explains its instances

    Causation
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    2 reasons for
    1 reason against

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Hempel's Deductive-Nomological model explicitly requires that explanations subsume instances under universal laws, making this assumption theoretically loaded.
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    • 2.Lange's argument structurally mirrors DN explanation by deriving specific outcomes from universal mathematical truths, inheriting DN's undefended subsumption principle.
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    • 3.Without acknowledging this DN inheritance, Lange's argument smuggles in a contested covering-law framework that Scriven and others have shown requires independent justification.
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    Reason for 2 of 2
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    • 1.Aristotle's Posterior Analytics distinguishes demonstrative knowledge of universals from explanatory knowledge of particulars, showing universal-to-instance inference is non-trivial.
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    • 2.Even if a universal mathematical truth holds necessarily, its explanatory relevance to a particular instance requires a non-deductive relevance relation that Lange never specifies.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Lange's argument presupposes that a universal sentence explains its instances
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    • 2.This assumption is not acknowledged or justified in Lange's argument
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    Topics

    CausationTruth & Knowledge

    Key Terms

    knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
    Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.

    Related

    Aristotle's Posterior Analytics distinguishes demonstrative knowledge of univers...Even if a universal mathematical truth holds necessarily, its explanatory releva...Hempel's Deductive-Nomological model explicitly requires that explanations subsu...Lange's argument presupposes that a universal sentence explains its instances
    +3 moreShow less
    Lange's argument structurally mirrors DN explanation by deriving specific outcom...This assumption is not acknowledged or justified in Lange's argumentWithout acknowledging this DN inheritance, Lange's argument smuggles in a contes...

    Similar

    Lange's argument presupposes that a universal sentence explains its in...95%Lange's argument is flawed because an instance of a universal generali...86%Lange's argument assumes that an instance of a universal generalizatio...83%Therefore the core structure of Kant's argument holds under weaker ass...79%

    Source

    AI-extracted1/3 agreementValid
    SEP: mathematics-explanation
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    Lange’s argument has been also contested in several recent articles such as Hoeltje et al. 2013, Baldwin 2016, and Dougherty 2017. Hoeltje et al. reject what they see as an unacknowledged assumption in Lange’s argument, namely that a universal sentence explains its instances. Baldwin offers positive considerations as to why inductive arguments are explanatory and he also focuses his criticisms of Lange’s argument on the latter’s assumption that an instance of a universal generalization cannot he
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (2 for, 1 against)
    Edits
    1 edit