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    The success-based justification of Pythagorean analogical... — Carmelics
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    The success-based justification of Pythagorean analogical reasoning is inadequate

    Skepticism
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    2 reasons for
    1 reason against

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Hesse's network model shows analogical success depends on relational structure, not surface similarity, making no single scheme sufficient.
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    • 2.Pythagorean analogies span music, cosmology, and arithmetic with incompatible structural bases, so no unified success criterion is formulable.
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    • 3.Without a unified criterion, success-based justification collapses into post-hoc rationalization of cases already deemed successful by other means.
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    Reason for 2 of 2
    ?
    • 1.Goodman's grue problem demonstrates that any predicate can anchor a projection, making 'successful strategy' an entrenchment artifact, not an epistemic achievement.
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    • 2.If success is itself theory-laden, then justifying analogical reasoning by appeal to past success is viciously circular in the manner Sextus Empiricus identified in criterion-based justification.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.The success-based justification requires determining what counts as a similar strategy
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    • 2.Determining what counts as a similar strategy requires isolating the features of successful Pythagorean analogies
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    • 3.No one has yet provided a satisfactory scheme characterizing successful analogical arguments
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    Related

    Determining what counts as a similar strategy requires isolating the features of...Goodman's grue problem demonstrates that any predicate can anchor a projection, ...Hesse's network model shows analogical success depends on relational structure, ...If success is itself theory-laden, then justifying analogical reasoning by appea...
    +4 moreShow less
    No one has yet provided a satisfactory scheme characterizing successful analogic...Pythagorean analogies span music, cosmology, and arithmetic with incompatible st...The success-based justification requires determining what counts as a similar st...Without a unified criterion, success-based justification collapses into post-hoc...

    Similar

    The Clustering Postulate fails to adequately justify analogical reason...90%Efforts to develop a quasi-logical theory of analogical reasoning have...84%A general justification of analogical reasoning cannot support all arg...84%If the only legitimate form of analogical reasoning is one most analog...84%

    Source

    AI-extracted1/3 agreementValid
    SEP: reasoning-analogy
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    Recasting analogy as a deductive argument may help to bring out background assumptions, but it makes little headway with the problem of justification. That problem re-appears as the need to state and establish the plausibility of a determination rule, and that is at least as difficult as justifying the original analogical argument. 2 Inductive justification Some philosophers have attempted to portray, and justify, analogical reasoning in terms of some well-understood inductive argument pattern.
    Extraction notes

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

    Details

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