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well-ordered ADJ

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be well-ordered VB

be well-ordered
be well-ordered
be well-ordered
be well-ordered

Monolingual examples (not verified by PONS Editors)

English
Shrewd and cautious, he had a compact and well-ordered realm to show at the end of forty years of war.
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The cofinality of a set of ordinals or any other well-ordered set is the cofinality of the order type of that set.
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If an infinite set is a well-ordered set, then it must have a nonempty subset that has no greatest element.
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A scrupulously polite, well-dressed gentleman as ever was, in a scrupulously neat chamber, with a scrupulously well-ordered mind.
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Proof that every set can be well-ordered, 13941. 1908.
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Without the axiom of choice, there are cardinals which can not be well-ordered.
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The grace of these well-ordered snapshots is that there is no diatribe; you are left to put things together yourself.
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Any well-ordered set having that ordinal as its order type has the same cardinality.
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Occurrence of gibbsite is always associated with these well-ordered kaolinites.
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This definition assigns a representative to every cardinal number even when not every set can be well-ordered (an assumption equivalent to the axiom of choice).
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