Mathematical Archetypes of Nature, Art, and Science
A Beginner's Guide to Constructing the Universe
Michael S.SchneiderA Beginner's Guide to Constructing the Universe Gönderileri
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For the nature of number is to be informative, guiding and instructive for anybody in everything that is subject to doubt and that is unknown. For nothing about things would be comprehensible to anybody, neither of things in themselves, nor of one in relation to the other, if number and its essence were nonexistent…The essence of number, like harmony, does not allow misunderstanding, for this is strange to it. Deception and envy are inherent to the unbounded, unknowable, and unreasonable…Truth, however, is inherent in the nature of number and inbred in it.
Sayfa 19 - Philolaus (Fifth century B.C., Greek Pythagorean philosopher
All things are full of signs, and it is a wise man who can learn about one thing from another.
Sayfa 17 - Plotinus (205–270, Roman Neoplatonic philosopher)
Plato wrote that all knowledge is already deep within us, so no one can really teach us anything new. But we can remind each other of the archetypal principles of number and nature we already know but may have forgotten.
Sayfa 15
The One
Geometry is also the bridge between the One and the Many. When you draw one of its basic figures—a circle, say, or a triangle or regular polygon —you do not copy someone else’s drawing; your model is the abstract ideal of a circle or triangle. It is the perfect form, the unchanging, unmanifest One. Below it are the Many—the expressions of that figure in design, art, and architecture.