I really can't fathem the purpose of life being being remembered. In all honesty I'd definately rather be forgotten then commit a bad act that would hurt someone else.
The fear of being forgotten is and old fear, that probably plauges everyone at some point or another. The thing is, you can't really allow that too throw logic out the window and corrupt you into think that doing a bad deed and being remembered is actually better then living a good life and being forgotten.
I don't think that just because you don't care whether or not you are remembered means that you think that your life is pointless, that's ignorant to the point of being offensive. The real purpose of life, is to be happy, that's what it comes down too in the end. And how will being remembered when you are dead make you happy? You won't even know if you are remembered or not, you'll be in the ground rotting away.
Everyone wants to be remembered in some way or another, but if you really want to be remembered, you should find a talent and use that to become famous and be remembered for something good. Or just take alot of photographs and so in a way you can live on forever.
Alot of you think that not caring about what people think about you in the future, after your dead makes your life pointless, I think it's the exact oposite. If that what defines you're happiness in life, what people think of you after you're dead and gone, then that means your current life is pretty pointless, because you should be worrying more about what is going on in your life now.