Collegium of Mages
The Collegium of Mages is the official association of the mathemagi, a group of mages whose highly structured approach to working magic is based on strict logical rules, mathematical formulae, and the use of magical syllables according to a set grammar. Although they draw upon the accumulated arcane knowledge of countless generations, mathemagi see themselves as a new and modern kind of magic practitioner, one that has rejected the superstitions and ceremonial mumbojumbo of the past and replaced them with a precise and orderly practice based upon science and reason. They disdain nearly all other forms of magic, which they view as backwards and inefficient if not entirely ineffectual. Some mathemagi are more tolerant than others, however, and are interested in studying the lesser schools of magic in order to refine their more primitive practices into modern forms.
Terminology
Members of the Collegium of Mages call themselves either mathemagi (sing. mathemagus) or mathematici (sing. mathematicus). The latter has historically been the preferred title, meaning simply one with a love of learning, and is the term almost exclusively used in Ruvera where magic outside the tradition of the Kalentic Church is generally condemned. However "mathemagus" is the more common usage in the Sirdabi Caliphate, where the mages' practices and knowledge were considered at least superficially similar to that of the Elestaarian magi of Irzal. (Mathemagi privately scorn this association with an ignorant backwards religion, but publicly often find it useful for the prestige it gives them.) A mathemagus of high rank is known as a mathemagister.