SOLUTION: Consider a set, S, whose cardinality is greater than the cardinality of the real numbers. Write in words how you woud go about constructing a set that has greater cardinality than

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Question 671930: Consider a set, S, whose cardinality is greater than the cardinality of the real numbers. Write in words how you woud go about constructing a set that has greater cardinality than S.
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Let T be a set. Show that |T|> |S|. Let n = |S| and likewise let m = |T|. Note that the cardinality of the reals is uncountably infinite, then the cardinality of S is also uncountably infinite. We want to construct a set such that for some element e, that is not in S, it exists in T. Then there is no longer a one-to-one correspondence between S and T. Since T has one more element than S, then |T| > |S|.