I have to ask, why the fuck don't we just instant close these threads? I support a spirited discussion as much as the next guy, but spirited discussions are ones that actually go somewhere. There's an ideological difference between DS fans and PSP fans that will never be bridged. Any PSP fan won't just go "Oh, I see your point, the DS is good", and the same goes for the DS crowd.
The end result is this: Each system has their flaws. Each system has their pros. Each system has their cons. Each system is good, and each system is bad. There's no such thing as "factually better". Some people may say that the Wii is better than the NES because of, you know, 20 years of development, but a hardened old school gamer may just say the NES is better because of games. Sure, you can say microwave X is better than microwave Y because microwave X cooks food 3x as fast and projects a touchable hologram, but the other side may say microwave Y cooks it "just the right way".
So seriously, none of your opinions matter because they're your opinions.