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2 ideas
| 636 | Beauty involves the Forms of order, symmetry and limit, which can be handled mathematically [Aristotle] |
| Full Idea: The major Forms of the beautiful are order, symmetry and delimitation, and these are very much objects of the proofs of the mathematical sciences. | |
| From: Aristotle (Metaphysics [c.324 BCE], 1078a31) |
| 5063 | Music charms, although its beauty is the harmony of numbers [Leibniz] |
| Full Idea: Music charms us although its beauty only consists in the harmony of numbers. | |
| From: Gottfried Leibniz (Principles of Nature and Grace based on Reason [1714], §17) | |
| A reaction: 'Only'! This is a super-pythagorean view of music, as you might expect from a great mathematician. Did he understand the horrible compromises that had just been made to achieve even-tempered tuning? Patterns are the key, as always. |