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    Analogical arguments should be evaluated by articulating ... — Carmelics
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    Analogical arguments should be evaluated by articulating the proof structure of the source domain and assessing whether critical features transfer to the target domain.

    Philosophy of LanguageTruth & Knowledge
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    Reasons For

    1 perspective
    Reason for
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    • 1.Counting surface similarities between source and target domains does not capture the logical structure underlying the analogy.
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    • 2.Pre-theoretic resemblances between domains are insufficient to validate an analogical argument.
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    • 3.Systematicity scores from connectionist representations do not identify which features are logically critical to the source domain result.
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    Reasons Against

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    • 1.Many productive analogies in science and mathematics precede any formalized proof structure in the source domain, as Polya's heuristic account demonstrates.
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    • 2.Requiring an articulated proof structure imposes a post-hoc rationalization constraint that would have blocked historically fruitful analogical discoveries before their formalizations existed.
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    • 3.Analogical reasoning is epistemically valuable precisely as a guide to inquiry prior to formal proof, not as a pale substitute for one.
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    Reason against 2 of 2
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    • 1.Wittgenstein's notion of family resemblance shows that concepts can legitimately extend across domains through overlapping, non-transitive similarities rather than shared proof-critical features.
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    • 2.If no single set of features is logically critical across all instances of a concept, then identifying 'critical features' in the source domain presupposes an essentialism that many domains structurally lack.
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    Topics

    Philosophy of LanguageTruth & Knowledge

    Connections

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    Related

    A precise proof in the source domain reveals exactly which concepts and assumpti...Analogical reasoning is epistemically valuable precisely as a guide to inquiry p...Counting surface similarities between source and target domains does not capture...If no single set of features is logically critical across all instances of a con...
    +6 moreShow less
    Knowing which features are critical allows a principled assessment of whether th...Many productive analogies in science and mathematics precede any formalized proo...Pre-theoretic resemblances between domains are insufficient to validate an analo...Requiring an articulated proof structure imposes a post-hoc rationalization cons...Systematicity scores from connectionist representations do not identify which fe...Wittgenstein's notion of family resemblance shows that concepts can legitimately...

    Similar

    Evaluating the argument requires identifying the critical features of ...86%Knowing which features are critical allows a principled assessment of ...79%Counting overall similarities between source and target domains is not...78%For an argument to be a proof, its soundness must be clear to those ev...78%

    Source

    AI-extracted1/3 agreementValid
    SEP: reasoning-analogy
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    To see how this works, consider Example 7 (Rectangles and boxes). In this analogical argument, the source domain is two-dimensional geometry: we know that of all rectangles with a fixed perimeter, the square has maximum area. The target domain is three-dimensional geometry: by analogy, we conjecture that of all boxes with a fixed surface area, the cube has maximum volume. This argument should be evaluated not by counting similarities, looking to pre-theoretic resemblances between rectangles an
    Extraction notes

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

    Details

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