Is curiousity a negative attribute?

Would you rather be curious about something and know that you can never find out the answer, or to not have heard about that subject ever before? Curiousity seems like a bottomless pit. The more you find out, the more you want to find out. The sense of satisfaction from finding out something is only temperary, the feeling of not knowing something would just chew at you for as long as you are aware of your ignorance.

Ignorance of ignorance is true bliss. The frog in the well should never have seen the turtle. Now, the frog knows he is ignorant, and can't do anything about it. He'll live in pain for the rest of his life.

My my my... evil turtle.

Oh well, now there's no turning back for me!