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universal set

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Explain what is meant by a universal set.
Give a real world example of two universal sets. Be sure to first clearly define the two sets.
Describe what is meant by the intersection of two sets and give an example from the previously two created sets of their intersection.
Describe what is meant by the union of two sets and give an example from the previously two created sets of their union.

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The universal set is the set of all objects under consideration. The reason we want to introduce such a set is, first, to be able to take the complement A' of a given set A, which is defined as the set of all objects not in A, and second, because the notion of the "set of all objects" leads to the so-called Russel's paradox.

For example, if we want to study certain groups of students on the campus, a reasonable choice for the universal set would be the ...

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