Chomsky defines what it means to be educated in this video. Selected quotes below.
“The core principle and requirement of a fulfilled [educated] human being is the ability to inquire and create constructively independently without external controls.” (Chomsky citing Humbolt)
“To be truly educated from this point of view means to be in a position to inquire and to create on the basis of the resources available to you which you’ve come to appreciate and comprehend. To know where to look, to know how to formulate serious questions, to question a standard doctrine if that’s appropriate, to find your own way, to shape the questions that are worth pursuing, and to develop the path to pursue them.” (Chomsky, 1m50s)
“That means knowing, understanding many things but also […] to know where to look, how to look, how to question, how to challenge, how to proceed independently, to deal with the challenges that the world presents to you and that you develop in the course of your self education and inquiry and investigations, in cooperation and solidarity with others.” (Chomsky, 2m20s)