I guess you don't win friends with simpsons. I never hung out with any friends that quotes simpsons, all my bmx skater friends, believe me. Not even Napoleon Dynamite, one gym friend was annoyed by hearing those jokes all day. Lol.
{f = 2neN : |2N| = |N|} has a 1-1 correspondence and onto the codomain from f:N -> 2N. You are out of your range.