By conducting an examination of the mapping process in metaphor comprehension, this article suggests that a set of superficially different metaphors can be considered to be isomorphic to an underlying generic metaphor. In other words, a set of seemingly different metaphors with different domains can be categorized under a single generic metaphor. The generic metaphor is in the general form of X is in some kind of semantic relationship with Y. When this generic metaphor is realized in specific-level forms, a number of metaphors are produced which are isomorphic to each other, although their domains could be completely different in appearance. In other words, there is a deep homogeneity among a set of concretely different metaphors. A generic metaphor can be seen as a semantic frame for all specific metaphors that are isomorphic to it. Since base and target domains of a given metaphor can be very different in terms of concrete features, the mapping of the base into the target must be mediated by the domain of its underlying generic metaphor.
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