Aristotle Now since the good and the beautiful are different. . . those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or deﬁnitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and deﬁniteness, which the mathematical sciences demonstrate in a special degree.