demonstrates that between any given pair of R members, which are local numbers, there exists a non-local number, whose exact location on the real line does not exist. A local number is not a limit of any non-local number, because local and non-local numbers are mutually independent. Furthermore, no set of infinitely many elements can reach the completeness of a non-local urelement. Thus, any non-finite set is an incomplete mathematical object, when compared to a non-local urelement.
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