Cardinality of real and natural numbers?

[kmath]

Although the set of real numbers and the set of natural numbers each contain an infinite numbers of elements, the set of reals has a higher cardinality than the set naturals. Why is that?

 

 

[studiot]

Because there are more of them?

[mathematic]

Although the set of real numbers and the set of natural numbers each contain an infinite numbers of elements, the set of reals has a higher cardinality than the set naturals. Why is that?

http://en.wikipedia.org/wiki/Cantor's_diagonal_argument

 

Look this up.