Doesn't he go to Hogwarts School of Witchcraft and Wizardry?
That sounds to me like a school of witchcraft and wizardry.
He goes to learn to control the powers he already has. That's one of the big things that people that condemn HP always ignore, due to genetic pre-disposition Harry is a wizard whether he gets training or not, strange things happen around him as a result of his will before he ever even hears about Hogwarts. He goes to school to get the training necessary to control his abilities, if there was no such place as Hogwarts he'd still be a wizard, just uncontrolled and dangerous.