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Analogy Depth Taxonomy

Hofstadter’s framework for distinguishing shallow from deep analogies—the recognition that in any comparison between two domains, some features of the correspondence are essential to its explanatory power and others are merely incidental, and that the machine cannot reliably tell which is which.
Not all analogies are equal, and the inequality is not a matter of elegance or cleverness. In Douglas Hofstadter’s framework, the depth of an analogy is determined by the depth of the structural correspondence it encodes. A shallow analogy connects two domains through surface features that happen to co-occur with the structural similarity but contribute nothing to its explanatory power. A deep analogy connects two domains through a shared mechanism, principle, or organizational pattern that illuminates both in ways that neither, examined alone, could provide. Darwin’s perception of natural selection was deep: it connected artificial and natural selection through the shared structural logic of variation, selection, and accumulation, and the connection changed both domains permanently. The observation that both rivers and intelligence are sometimes called “deep” is shallow: it connects the domains through verbal coincidence that carries no explanatory weight. The difficulty is that shallow and deep analogies can produce outputs that are
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