I read that an empty collection of sets, denote it by λ, is a little problematic when one considers [itex]\bigcup[/itex][itex]_{A\inλ}[/itex]A and [itex]\cap[/itex][itex]_{A\inλ}[/itex]A. I can see that the union should be ∅. However, for the intersection it was argued that if one considers a set X to be the universe of the discussion then the intersection indicated above would result(adsbygoogle = window.adsbygoogle || []).push({}); vacuouslyin X. Then , why wouldn't the union also result in Xvacuously?

Any help is appreciated!

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# An empty collection of sets

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