Does the PS3 Guitar Hero World Tour work on PS2?

You can't play a game for a newer console on a console that it wasn't made for. If the PS3 was made before the PS2, then it would work. But then the PS2 would be the PS3 and the PS3 would be the PS2 and then all that would start over again and I'd have to say the same thing OVER and OVER and OVER again...and that wouldn't work, would it?