If there is interest, in a follow-up I might explore exploiting ambiguity in problem-solving a little more formally, touching on "schemas" for formal decision processes (as discussed e.g. in Drescher) and some problems you run into when you consider what I'd call "reified schemas" which abound around us, objects which embody particular assumptions. Some problem-solving entails introducing new schemas which break such assumptions, which I view as a form of "exploiting ambiguity".