The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful.
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There is more both of beauty and of raison d'etre in the works of nature- than in those of art.
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... ...
A good style must have an air of novelty, at the same time concealing its art.
Personal beauty requires that one should be tall; little people may have charm and elegance, but beauty-no.
Art aims to show the inner meaning of things, not just how they look on the outside.
Wise people have an inward sense of what is beautiful, and the highest wisdom is to trust this intuition and be guided by it.
Art takes nature as its model.
The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.
The purpose of art is to represent the meaning of things. This represents the true reality, not external aspects.
With respect to the requirement of art, the probable impossible is always preferable to the improbable possible.
The most beautiful colors laid on at random, give less pleasure than a black-and-white drawing.