In the universe the series takes place in, it's impossible to have the ability to become a mage of any sort without some degree of an affinity for a magic attribute.
Magic can be divided by attributes involved in its casting. The existing attributes are water, earth, fire, wind, space, time, life, death, psychic and aura. Psychic and aura are attributes considered non-magical in nature though are considered to be very similar in nature to the magic attributes and have their attribute magic braches.