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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5Have you checked all the links stackexchange flags (on the right of your screen) as related? – Ethan Bolker Oct 26 '22 at 00:31
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I checked it and none of them explicitly asked for a proof. – mathlander Oct 26 '22 at 00:37
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2@mathlander That's because is false: https://math.stackexchange.com/questions/2936215/are-the-real-numbers-the-unique-dedekind-complete-ordered-set – jjagmath Oct 26 '22 at 00:38
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I asked about fields, and the question you linked is about sets. – mathlander Oct 26 '22 at 00:40