There seems to be a sort of craze about having as many references as possible. Among the students at my university, it has become common practice to write a passage of text and later figure out if someone else has done something similar and attribute it to them, changing the original text if necessary.

Is this in any way, shape or form appropriate? It seems rather contradictory to me, since you are attributing your own work to other people, even if they came up with it first. The author did not have prior knowledge of this.

I suppose you could simply claim it as your own and note that someone else has come up with it, as well. Is this necessary? It is your own work, after all, even if somebody else came up with something remarkably similar.

Many problems have straight-forward solutions that you can easily come up with. I am asking this now, because I am writing my bachelor's thesis and have come up with some of those straight-forward solutions myself. I just now found, by chance, papers on exactly that subject and, reading them, realise just how similar our approaches are.

What would be the best way to handle situations like these?

Meta: I'm not happy with the title. If you can think of a better one, feel free to edit and remove this notice.