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Consider the three restrictions (i), (ii), and (iii) placed on the sets in Cantor’s Theorem. (a) Find a sequence of sets that satisfies (i) and (ii), but . (b) Find a sequence of sets that satisfies (i) and (iii), but . (c) Find a sequence of sets that satisfies (ii) and (iii), but .

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Answer:

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Step-by-step explanation:

When it comes to the field of elementary set theory, Cantor's theorem is a basic result which affirms that, for whichever set, the set of the entire subsets will have a strictly bigger cardinality than itself. For the finite sets, Cantor's theorem can be affirmed to be true by plain enumerating the number that are in the subsets.

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