Experience vs Education. Which came first and is more important?

I haven't got past the "my wife and I got into a debate about this" part! ;-)

The experience is the education. You can experience English or math in the classroom, at work, at home. You experience it first and that experience is your education. How do you gain an education without having experienced anything? One day, a long time ago, a bored caveman rubbed two sticks together; he experienced and learned about fire. He passed that knowledge along. Others then experienced it; they too gained an education.

EXPERIENCE....Who do you think writes the book?