document.write( "Question 884187: Prove there is no largest real number in ~R where ~R is the complement of R the real number set.
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Algebra.Com's Answer #566220 by jack.wang5(5) $\"\"$ $\"About$

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By the Cantor–Bernstein–Schroeder theorem that c = 2^|N|, where c is the cardinality of the real number set, |N| cardinality of the natural number set, this implies that, given c, there exists a real number R|c being, namely, the largest real number in R. \r
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\n" ); document.write( "\n" ); document.write( "Cardinality of the continuum, http://en.wikipedia.org/wiki/Cardinality_of_the_continuum
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