If < is any total order in R, isn't it always possible to construct an infinite sequence(adsbygoogle = window.adsbygoogle || []).push({});

x1 > x2 > x3 > ... > y for some limit point y in R.

It seems to me that {x1, x2, x3, ...} is then a subset of R that does not have

least element in this ordering. No total order in R can be well-order?

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# Well-ordering of reals

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