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A couple of methods traditionally considered to be elements of "creative problem solving" are standard in Category Theory:
a) search for limits after you find a similarity.
b) evaluate duality after you construct a basic category.
Probably there's more but I don't know enough yet.
a) search for limits after you find a similarity.
b) evaluate duality after you construct a basic category.
Probably there's more but I don't know enough yet.