There is a difference between the ignorant and the illiterate, for you can teach the illiterate so that matters will be straightened. As for the ignorant, he knows a case that is contrary to reality and against the truth, in spite of that, he clings to it, and does not want to abandon it, no matter how much the truth is shown to him. This is much more difficult than the illiterate; that is why Allah (swt) says:

(… أَفَحُكْمَ الْجَاهِلِيَّةِ يَبْغُونَ ) (Then is it the judgement of [the time of] ignorance they desire?…): They left behind the Torah’s commands and abided by the law of ignorance.