Quandaries
and Queries 

Name: Lisa Firstyear college question 

Hi Lisa, I assume that N is the natural numbers, 1,2,3,... I am going to distinguish between the two copies of N by writing one N and the other N. You want a function from f:N > N which is onto but not onetoone. Onto means that every number in N is the image of something in N. Onetoone means that no member of N is the image of more than one number in N. Your function is to be "not onetoone" so some number in N is the image of more than one number in N. Lets say that 1 in N is the image of 1 and 2 from N. That is 4 to 3, 5 to 4, ... 

