Many / One

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Compiled by JoAnn Kite

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A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art & Science
Michael S. Schneider
Explores the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, and expressed in the symbolic language of myths and fairytales, in religion, art and architecture.

1 "The one Godhead, secret in all beings, all-pervading, the inner Self of all, presiding over all action, witness, conscious knower and absolute….the One in control over the many,… fashions one seed in many ways." Swetaswatara Upanishad

2 "The orderly process of geometric construction shows us the steps nature metaphorically uses to clothe the archetypal patterns. The geometer gradually learns to see the world of common experience as governed by laws of nature that can be understood as expressions of mathematical archetypes."

3 "In nature the One circle gives rise to the Many, in the shapes and orbits of the planets, in the roundness of berries, nests, eyeballs, and the cycles of time."

4 "The world is single and it came into being from the center outwards." Joannes Stobaeus (5th century), Greek anthologist

5 "Nature itself rests on an internal foundation of archetypal principles symbolized by numbers, shapes, and their arithmetic and geometric relationships."

6 "The simple beauty of a crystal is, in part, its strict mathematical order. Through the study of number and shape we begin to apprehend the cosmic order."

7 "Men must be aware of the wisdom and the strength that is in them if their understanding is to be expanded." Vauvenargues (1715-1747), French soldier, moralist

8 "Sacred space is within us…Wherever we go we bring the sacred within us to the sacred around us."

9 "It is stirring to realize that each of the physical structures of the universe is a repackaging of the others. We hold the proportions of the solar system in our hands, face, and whole body."

10 "Studying, contemplating, and living in agreement with universal principles is a social responsibility and can be a spiritual path. It is becoming clear that when we cooperate with nature's ways we succeed; when we resist, we struggle. Implications for our environmental crises are obvious."

11 "The world's material forms are only approximations of ideal, eternal archetypes."

12 "Numbers keep recurring not because we make them do so but because they are inherent in the proportions of nature that express the timeless mathematical archetypes."

13 "It is as if the universe is one single organism, motivated by a single power, developing in many ways to gradually become aware of itself through the awareness of the creatures and forces it produces."

14 "Everything an Indian does is in a circle, and that is because the power of the world always works in circles, and everything tries to be round." Black Elk (1863-1950), Native American elder

15 "'Harmony' (from the Greek 'harmonia', signifying 'fitting together') in music, as elsewhere in the cosmos, comes from the reconciliation of opposites by a third element, bringing them all a new unity."

16 "The ancients were aware of nature's geometric language and purposefully employed it in their arts, crafts, architecture, philosophy, myth, natural science, religion, and structures of society from prehistoric times through the Renaissance. The world today needs scholars and researchers who give the ancients credit for their intelligence and understanding, to view their art and entire cultures in light of its mathematical symbolism."

17 "The central secret is to know that the various human passions and feelings and emotions in the human heart are not wrong in themselves; only they have to be carefully controlled and given a higher and higher direction, until they attain the very highest condition of excellence." Vivekananda (1863-1902), Indian spiritual teacher

18 "The One underlies the Many."

19 "The eye is the first circle, the horizon which it forms is the second: and throughout nature this primary figure is repeated without end." Ralph Waldo Emerson (1803-1882), American essayist and poet

20 "This knowledge of ourselves as part of a harmonious whole is now dimmed to everyday awareness, but it can be part of a great vision to be reclaimed."

21 "Polar tension occurs in all natural and human affairs as any opposing relationship, contrast, difference. It is at the root of our pernicious notion of separateness from each other, from nature, and from our own inherent divinity. The paradox of the Dyad (polarity) is that while it appears to separate from unity, its opposite poles remember their source and attract each other in an attempt to merge and return to that state of unity."

22 "The manifest cosmos is an approximation of its mathematical ideal."

23 "Our deepest awareness, the power that motivates all awareness, which we can call the 'Power to Be Conscious,' of which we are not ordinarily cognizant, recognizes its own transcendental nature in the geometry of the circle. For this reason the circle has been a universal symbol of an ideal perfection and divine state that always exists around and within us whether we acknowledge it or not."

24 "Through meditation and self-contemplation we can seek a more subtle center, our higher or deeper self, the power that motivates the actions, emotions, thoughts, and desires. This center of gravity is not in space but in pure awareness, the 'place' in you now aware of these very words."

25 "I am One that transorms into Two…I am Two that transforms into Four…I am Four that transforms into Eight…After this I am One again." Egyptian (Hermopolitan) creation myth

This body of quotes compiled by JoAnn Kite