Changes

'''Diagonalization''' is a technique first used by [[Cantor|George Cantor]], a [[Germany|German]] [[Mathematician|mathematician]]. He used it to show that the [[Cardinality|cardinality]] of the [[Real_number|real numbers]] is not equal to the cardinality of 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|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.

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

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