Can anyone enlighten me about how this set can be well-ordered? That is, given any ordinal $\alpha$ the set of all ordinals less than $\alpha$, $W(\alpha)$, is well-ordered. I can show that this set is ordered by using "section" argument, but I can't see well-order property. Many thanks!
2026-04-03 05:23:17.1775193797
Set of ordinals less than a given ordinal
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