- #1
Useful nucleus
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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 vacuously in X. Then , why wouldn't the union also result in X vacuously?
Any help is appreciated!
Any help is appreciated!