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a new definition that I am proposing: ‘backwardation’ (a term, I know, that is also used for another purpose, but sounds so right for the purpose I want to put it to) to mean ‘inferring the domain of a function’. This is never done in serious mathematics, but makes for a seemingly great mathematics exercise (but one which I would avoid, as it is misleading, that is, you can’t say you have a function unless you have already specified the domain, and so no inference is ever necessary).
keywords: mathematics, set theory