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    Some similarities are known to be utterly irrelevant to t... — Carmelics
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    Challenges→Rule (5) — assigning non-zero degree of support to every similarity between two domains — must be supplemented with relevance considerations to be viable as a rule of analogical inference.

    Some similarities are known to be utterly irrelevant to the hypothetical analogy (e.g., swans grouped by color is irrelevant to whether congruent geometric lines are grouped).

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    Not every difference between two domains decreases it.Not every similarity between two domains increases the probability of an analogi...Relevance depends on subject matter, historical context, and logical details par...Rule (5) wrongly assigns non-zero degree of support even when the positive analo...

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    Rule (5) — assigning non-zero degree of support to every similarity between two ...

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    Achinstein's formal analogy between swans and line segments — mapping ...84%Counting similarities fails to explain the plausibility of any particu...78%Distinguishing relevant from irrelevant similarities is necessary to d...77%Overall similarity is not a reliable guide to the plausibility of an a...77%

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    Yet it would be absurd to find positive support from this analogy for the idea that we are likely to find congruent lines clustered in groups of two or more, just because swans of the same color are commonly found in groups. The positive analogy is antecedently known to be irrelevant to the hypothetical analogy. In such a case, the analogical inference should be utterly rejected. Yet rule (5) would wrongly assign non-zero degree of support. To generalize the difficulty: not every similarity inc

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