Exactly! How should we define intelligence anyway?
I always think that intelligence is innate and education is what we are force-fed during our most formative years.
Our brains are like sponges and will absorb whatever is poured into them. It's only when we're able to examine what we have been taught and to make our own decision as to whether we really believe it or not. That's using our real intelligence - not being able to parrot dates and numbers that someone else has devised but working out our own knowledge.
The real geniuses of this world are not usually those who sit in a classroom listening to someone else talking but someone who is listening to their own intelligence talking.