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'''Diagonalization''' is a technique first used by [[Cantor|George Cantor]], a [[Germany|German]] [[Mathematician|mathematician]]. He used it to show that the [[Real_number|real numbers]] can not be put into 1-1 correspondence to the [[Natural_number|natural numbers]], thereby demonstrating the real numbers are not countable. This method can be applied to any infinite set to construct an even larger infinite set.

'''Diagonalization''' is a technique first used by [[Cantor|Georg Cantor]], a [[Germany|German]] [[mathematician]]. He used it to show that the [[real number]]s can not be put into 1-1 correspondence to the [[natural number]]s, thereby demonstrating the real numbers are not countable. This method can be applied to any infinite set to construct an even larger infinite set.

==Proof of the non-countability of real numbers==

==Proof of the non-countability of real numbers==