[From Bill Powers (2003.04.27.2113 MDT)]
It occurred to me that the view of analogies as relationships unnecessarily
confines us to one level of perception. I think we get analogies any time a
single higher-order perception can be perceived in significantly different
sets of lower-order perceptions. We say that two sets of lower perceptions
are analogous if we get from them the same higher-order perception.
Thus we cn have a scream which pierces the ears in a way analogous to the
piercing thrust of an epee. There can be a logical arrangement of tools on
a pegboard, analogous to the logic of their use. A person can follow a diet
"religiously," meaning in a way analogous to the way a devotee follows the
precepts of his sect.
This would imply that two statements that are paraphrases of each other are
also analogous in terms of their common meaning.
Best,
Bill P.