New answers tagged real-analysis
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Nobody. Those who were first did not have a clear idea of real numbers or completeness, and by the time the concepts took shape those who used them were no longer first, see MacTutor, The real numbers: Stevin to Hilbert. The first to state completeness as an axiom, to back up his prior axiomatization of geometry, was Hilbert in Über den Zahlbegriff (1900), ...
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