Prestidigitation, I understand. So your world lacks both an organized study of magic and inborn talent with it --

No, that's impossible. If magic exists in any form, someone has to have studied it. A significantly lower ratio of draconic interbreeding or whatever claim sorcerers make to justify their power, I can believe -- although I've picked up a level in it and my family tree is strictly homo sapiens -- but human nature doesn't allow for the potential to exist and NOT be explored...