>You can think of this like integers vs real >numbers. Both are infinite, but the fact that >there's an infinite number of numbers between any >two real numbers, makes it a lot MORE infinite.
Bzzt! Invalid analogy.
There are also an infinite number of rational numbers between each integer, yet there are the same number of rationals as integers (there exists a 1-1 and onto mapping).
Slashdot Mirror
>You can think of this like integers vs real
>numbers. Both are infinite, but the fact that
>there's an infinite number of numbers between any
>two real numbers, makes it a lot MORE infinite.
Bzzt! Invalid analogy.
There are also an infinite number of rational numbers between each integer, yet there are the same number of rationals as integers (there exists a 1-1 and onto mapping).