And technically the PSX is the all in one machine that Sony has that plays DVD's, CDs, mp3s, has a hard drive, etc... The gaming console is the PSOne.
Technically your right but your also wrong. The original Playstation had the shortend name of PSX when it was in early development. For some reason it stuck with it even after it was released. It wasn't re-named as the PSOne until Sony redesigned it.