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Suppose you have a set A which has the same cardinality with real numbers R, which means |A| = |R|. Also suppose that you have a finite set B , which of course has finite cardinality. Also suppose A is a proper subset of A union B, I mean there are some objects which are not an element of A but they are an element of B.

Now is the cardinality of A union B greater than the cardinality of real numbers, also if so is this cardinality of A union B equal to cardinality of the power set of real numbers ?

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    http://math.stackexchange.com/questions/89104/union-of-uncountably-many-uncountable-sets I think it has cardinaliy of real numbers is it true ?2012-07-24
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    This question is very elementary, but I wouldn't call it *bad* -- why the downvotes, with no explanatory comments?2012-07-24

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