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It is not the case that Analogical reasoning can be justified by determination rules without trivializing the analogical argument
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
A determination rule that fully specifies which variables determine Q already encodes the analogical inference, making the analogy itself epistemically redundant.
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2.
If the determination rule is known with sufficient precision to license the inference, the source case contributes no independent evidential weight beyond what the rule already supplies.
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Reason for 2 of 2
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1.
Goodman's problem of projectibility shows that any two objects share infinitely many predicates, so no determination rule can non-arbitrarily privilege the relevant similarity dimensions.
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2.
Without an independent account of which properties are projectable, the selection of determining variables P_i smuggles in the analogical conclusion rather than grounding it.
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Reasons Against
1 perspective
Reason against
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1.
A determination rule specifies that the value of a target property Q is determined by a set of variables P_i
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2.
If two objects are indistinguishable on each of the determining variables P_i, they will have the same value for Q
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3.
Knowledge of the source domain is necessary to derive the value of Q in the target domain from the determination rule alone
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