Say I define a function f by sending a well ordered set X to the least element in X. For example, if N is the natural numbers with the usual ordering, then f(N)=1. This function seems to be well defined. I guess its domain is the set of well ordered sets, but this sounds strange. Whats even stranger is the range. What could this possibly be? The union of all well ordered sets?(adsbygoogle = window.adsbygoogle || []).push({});

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# What are the domain and range of this function?

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