A fun look at the meaning of "neugierig" and what curiosity has to do with greed.
neugierig, die Neugier, vergesslich, neu
Right from the start, this root was about the idea:
It has stayed about that in most European languages and evolved into English new, German neu, Greek neo and Slavic novi.
The root is potentially also the origin of a variant *nu, which is where now and the German noch and nun come from, which would make a lot of sense meaning-wise.