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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.

Aristotle#38

PhilosophyBeautyOrderMathMathematics

About this quote

What does it mean?
Mathematics reveals beauty and goodness through order, symmetry, and definiteness.
In plain terms
Math shows beauty through patterns and order.
What can you take from it?
Look for order and symmetry to find beauty in math.

Where it applies

  • studying math
  • design
  • art appreciation

Putting it to work

  • appreciate patterns in nature
  • use symmetry in design

Questions to consider

  • Where do you see symmetry?
  • Is math beautiful to you?

Another view

Beauty can also be found in irregularity or emotion.

More from Aristotle

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  2. If there is some end of the things we do, which we desire for its own sake, clearly this must be the good. Will not knowledge of it, then, have a great influen…

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  3. All men by nature desire to know. An indication of this is the delight we take in our senses; for even apart from their usefulness they are loved for themselve…

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