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mathlander
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I know that one characterization of the reals is that it is the only Dedekind-complete ordered field. Are there any other characterizations of the reals as a field?

I know that one characterization of the reals is that it is the only Dedekind-complete ordered field. Are there any other characterizations of the reals?

I know that one characterization of the reals is that it is the only Dedekind-complete ordered field. Are there any other characterizations of the reals as a field?

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mathlander
  • 4.1k
  • 2
  • 13
  • 42

Characterizations of the reals

I know that one characterization of the reals is that it is the only Dedekind-complete ordered field. Are there any other characterizations of the reals?