The four subjects of the Quadrivium? arithmetic, geometry, music, and

astronomy? were thought of as the study of

and their

relationship to physical space or time,

In ancient times and during medieval times there was a transformation in the teaching methodology at the first European universities. Teaching efforts were made to train people who pretended to be part of the clergy in the seven liberal arts.

These seven arts were divided into two groups: the "trivium", which included grammar, dialectics and rhetoric, and the "quadrivium".

Quadrivium (means "Four paths"). In This area music, arithmetic, geometry and astronomy were integrated.

Arithmetic: study of numbers. Geometry: study of space. Astronomy: study of the stars or the space in movement Music: study of the songs and mathematics in movement.