A certain subset of a well-ordered uncountable set empty or not? – math.stackexchange.com

A certain subset of a well-ordered uncountable set empty or not? – math.stackexchange.com

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Let $I$ be an uncountable well-ordered set and let $A$ be the set of all $a \in I$ such that the set of all elements smaller than $a$ is uncountable. Do we always have $A\neq \emptyset$ and how does ...

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