2009-03-12, 05:32 PM
Actually there IS a thing such as countably infinite. The set of natural numbers are countably infinite. So are the rational numbers. In fact, there are just as many natural numbers as rational numbers.
And to Kajiti, the infinity for even numbers is the same exact infinity for natural numbers. There are exactly as many even numbers as there are natural numbers. The only set of numbers that are more infinite are the set of real numbers.
in short the degrees of infinity for the different sets of numbers is as follows: Natural = Even = Rational < Real
And to Kajiti, the infinity for even numbers is the same exact infinity for natural numbers. There are exactly as many even numbers as there are natural numbers. The only set of numbers that are more infinite are the set of real numbers.
in short the degrees of infinity for the different sets of numbers is as follows: Natural = Even = Rational < Real

