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5. The intersection of the set of positive integers and the set of negative integers is an empty set. A. True B.False
Actually the answer is less obvious than one may think. The obvious answer would be it is the set of positive numbers. This is correct of we define the set of positive numbers as a subset of the integers. However, we may also define the positive numbers aka the natural numbers first, and indeed they are mentioned in the axiom of infinity and then define the integers as equivalence classes of pairs of natural numbers. In this case it is completely unclear what the intersection is.
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