BA202 : DOES INFINITY COUNTABLE?

Dear student,

Our last class we do a lot of discussion on a set of Numbers. All numbers are infinity...such as the Positive Integer I = {1,2,3,4....} and so with the Natural number N= {0,1,2,3....}. But both Integer and Natural Number can be listed so we call it the countable infinity.

In other hand, decimal number cannot be listed......even you try to list a decimal number from 0 to 1, therefore, we call that decimal numbers are uncountable infinity. So did you get the idea? try to find another set of number which can be classify as uncountable infinity....