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Actually, I think we only learn new concepts by approximate
similarities or analogy.
I think a perfect analogy would be a
tautology, and I see NO pedagogical power in tautology;
therefore learning by analogy may be inescapable :^)
Getting excited about the fact that analogies aren't identical
seems a waste of time to me. Knowing the domain and range of
analogies, where they work and where they do not seems
to the the important idea.