The quadrivium comprised the four subjects, or arts, taught in medieval universities after the trivium. The word is Latin, meaning "the four ways" or "the four roads": the completion of the liberal arts. At many medieval universities, this would have been the course leading to the degree of Master of Arts (after the BA). After the MA the student could enter for Bachelor's degrees of the higher faculties, such as Music. To this day some of the postgraduate degree courses lead to the degree of Bachelor (the B.Phil and B.Litt. degrees are examples in the field of philosophy, and the B.Mus. remains a postgraduate qualification at Oxford and Cambridge universities). In medieval educational theory, the quadrivium consisted of arithmetic, geometry, music, and astronomy. These followed the preparatory work of the trivium, made up of grammar, logic (or dialectic, as it was called at the times), and rhetoric. In turn, the quadrivium was considered