Suppose you are given an ordered field $F$. You dont know exactly what set $F$ is, but you know there exists a nonempty subset $A\subset F$ with no upper bound. What can we say about $F$? Namely, can we determine if $F$ is a complete ordered field.
2026-04-18 06:55:42.1776495342
Suppose you are given an ordered field $F$. You dont know exactly what set $F$ is, but...
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The field of rational numbers is ordered, it contains unbounded subsets and it is not complete.