insatiable
/ɪnˈseɪʃ(j)əbəl/ adjective C2- Not satiable; incapable of being satisfied or appeased; very greedy.
From the library
I have said that the man was intelligent, and this very intelligence has caused his ruin, for it seems to have led to an insatiable curiosity about things which did not in the least concern him.
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