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It is not the case that Treating all analogical arguments as single-case induction is too restrictive and fails as a general analysis
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Reasons For
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Reason for
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1.
Single-case induction requires knowing one is dealing with a natural kind or Aristotelian nature
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2.
Single-case induction requires knowing which properties are essential
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3.
Most analogical arguments do not meet these requisite conditions
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Reasons Against
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Reason against 1 of 2
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1.
Hesse's material theory of analogy shows analogical inference derives force from causal-structural relations, not membership in natural kinds.
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2.
Many productive analogical arguments in science (e.g., sound/light wave analogy) succeed without identifying essential properties of any kind.
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3.
A general analysis of analogical reasoning must accommodate such scientific cases, which single-case induction systematically misdescribes.
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Reason against 2 of 2
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1.
Gentner's structure-mapping theory demonstrates analogical strength tracks relational isomorphism between domains, independent of kind-membership.
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2.
Requiring natural kind identification as a precondition for valid analogy would falsely invalidate cross-domain analogies central to theoretical reasoning in law and ethics.
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