If we take all numbers from 0 to 9 we will have 10 observations. All, even numbers from 0 to 9, we have 5 observations. All prime numbers from 0 to 9 we have 4 observations. Each set of numbers in that limited universe has a different quantity of observations.
If each of those cases the universe is extended from 0 to infinity it is not clear at all to me why those three infinite sets are equal in size, since the first set includes all possible numbrs, the second includes only all possible even numbers, and the third includes only the number 2, no number ending in 5 except for 5 itself, and some other odd numbers. It seems that all three cases the sets of numbers extend endlessly but differently and not equally.
I just don't get it, but would like to. Meanwhile, I will not be able to pick up on this discussion for a while because 1.) my computer is broken down 2.) I will be away for a few days.
I will check in on this if I can. Dont give up on me!!