- #1
srfriggen
- 306
- 5
correct me if I'm wrong, but the set of Natural numbers and the set of all positive even numbers have the same number of elements, the same cardinality, right?
So there would have to be a bijective function between the two, correct?
If we go from f:N->N then the function is not surjective, since all the odd numbers are being left out.
So would the correct function be, f:N-> N - {n,x in N l n=2x-1} (the latter set being the natural numbers minus the odd numbers)
So there would have to be a bijective function between the two, correct?
If we go from f:N->N then the function is not surjective, since all the odd numbers are being left out.
So would the correct function be, f:N-> N - {n,x in N l n=2x-1} (the latter set being the natural numbers minus the odd numbers)