The discussion revolves around the possibility of constructing a non-bijective function from the integers to the integers that satisfies the condition f(j+n)=f(j)+n, where n is a fixed integer greater than or equal to 1 and j is an arbitrary integer.
The conversation is ongoing, with some participants questioning the implications of the condition on the nature of the function. There is an acknowledgment of the need to consider specific cases, such as when n=1 or n=2, to further explore the problem.
Participants note that the forum rules require an attempt at a solution before receiving assistance, which may influence the nature of the discussion.