Is "ignore" the root of "ignorant" and "ignorance"? I suppose etymologically the three words must be related, maybe having the same Latin root, but in English "ignore" forms an interesting contrast in meaning with "ignorant" and "ignorance". Ignorance of X is lack of knowledge of X, but to ignore X one has to know of X in the first place, that is, one cannot ignore something that one is ignorant of.
However, if one ignores X, one will not be able to know X further than one already does. So, in a way, ignoring X does lead to ignorance of X. On this understanding, knowledge is a matter of degree, and so is ignorance.