The Liberal Arts were divided into the Trivium
("the three roads") Grammar, Rhetoric, Logic and the Quadrivium
("the four roads") Arithmetic -- Number in itself,
Geometry
-- Number in space, Music, Harmonics, or Tuning Theory -- Number
in time, Astronomy or Cosmology -- Number in space and time. There
were other important studies in medieval times. For example, philosophy
was often envisioned as a metastudy that united all branches of knowledge.
For this reason, Philosophia is depicted
in the illustration as nourishing the Seven Liberal Arts.
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