In the common man's understanding, magic is a gift bestowed upon nobility by the Mother Goddess, a wondrous manifestation sensed through the noble and exceptional blood after engaging with Mana, belonging entirely to the realm of the senses.
But that is a subtle misunderstanding.
Magic is realized by engaging Mana—invention, constructing spells—expressing phenomena, the engagement with Mana is only the first step. Only after continuous effort in training and learning to recognize various phenomena and spells, after accumulating experience and knowledge, can one successfully use magic.
In the process of learning and training, in addition to sensory abilities, various natural sciences and theory also occupy a critically important position. As a fundamental part of theoretical sciences, mathematics has an influence far beyond ordinary imagination on various spellcasting, it is not an overstatement to say that mathematics is the watershed of a magician's aptitude.