I know that the field of the rational numbers is ordered but not Dedekind-complete. What's the proof that the only Dedekind-complete field is the reals?
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5$\begingroup$ Have you checked all the links stackexchange flags (on the right of your screen) as related? $\endgroup$– Ethan BolkerCommented Oct 26, 2022 at 0:31
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$\begingroup$ I checked it and none of them explicitly asked for a proof. $\endgroup$– mathlanderCommented Oct 26, 2022 at 0:37
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2$\begingroup$ @mathlander That's because is false: math.stackexchange.com/questions/2936215/… $\endgroup$– jjagmathCommented Oct 26, 2022 at 0:38
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$\begingroup$ I asked about fields, and the question you linked is about sets. $\endgroup$– mathlanderCommented Oct 26, 2022 at 0:40
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