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A comment on What is the Axiom of Choice?. Parent comment
Relatedly, every set gets a supremum and an infumum. (The first two must be members of the set. The second two can lie outside the set).
Without the extension, you need to make an exception for unbounded sets with the above rules.
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Relatedly, every set gets a supremum and an infumum. (The first two must be members of the set. The second two can lie outside the set).
Without the extension, you need to make an exception for unbounded sets with the above rules.