1) Are all infinite sets the same size? Is the set of even integers the same siz

Question

1) Are all infinite sets the same size? Is the set of even integers the same size as the set of integers? How do you tell? Is the set of complex numbers significantly larger than the set of real numbers? Explain.

2) What does it mean for a set to be closed under addition?

3) Is there a set with no proper subset?

4) Recall the inclusion/exclusion rule, which helps us count the number of elements in the union of two sets, by subtracting out those counted twice. Will that rule work for two disjoint sets? Explain.

5) What's wrong with the idea of a set of all sets that do not contain themselves?

Explanation / Answer

A1)No, - So some infinities are

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