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 underlies the Many."

2 "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."

3 "Archetypes are universal in that they are the same to everyone everywhere and in every era."

4 "Number should not be understood solely as a construction of consciousness, but also as an archetype and thus as a constituent of nature both within and without." Marie Louise vonFranz

5 "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."

6 "We're not separate from the rest of the universe but are literally braided into it; we are a complete whole living in a greater complete whole."

7 "The mathematical rules of the universe are visible to men in the form of beauty." John Mitchell (b. 1933), English geometer and philosopher

8 "Numbers, as archetypal structural constants of the collective unconscious, possess a dynamic, active aspect which is especially important to keep in mind. It is not what we can do with numbers but what they do to our consciousness that is essential." Marie-Louise vonFranz, Jungian psychologist and writer

9 "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."

10 "We experience resonance on a very personal level in our rapport with the people we know and meet… Each of us unconsciously broadcasts the energy of our inner life and receives that with which we are in tune."

11 "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."

12 "Our mind divides the world into heaven and earth, day and night, light and darkness, right and left, man and woman, I and you – and the more strongly we sense the separation between these poles, whatever they may be, the more powerfully do we also sense their unity." Karl Menninger (1892-1990), American psychiatrist

13 "The harmony of the world is made manifest in Form and Number, and the heart and soul and all the poetry of Natural Philosophy are embodied in the concept of mathematical beauty." Sir D'Arcy Wentworth Thompson (1860-1948), Scottish zoologist, classical scholar

14 "The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal." William James (1842-1910), American psychologist and philosopher

15 "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

16 "Cognizance of harmony in nature and mathematics attunes us to harmony at our own core."

17 "Intuition is the clear conception of the whole at once." Johann Lavater (1741-1801), Swiss poet, mystic and philosopher

18 "Islamic tradition holds that there are one hundred names of God but only ninety-nine are knowable and speakable, and they are called the 99 Beautiful Names of Allah. The highest pronounceable name is 'The Compassionate.'"

19 "Whence shall he have grief, how shall he be deluded who sees everywhere the Oneness?" Isha Upanishad

20 "Geometric construction can be used as a form of meditation. Ponder the point as a seed enfolding a sacred mystery."

21 "Worldwide tradition acknowledges humans as being composed in accord with natural principles and made in the image of the cosmos."

22 "To know the order of nature, and regard the universe as orderly is the highest function of the mind." Baruch Spinoza (1632-1677), Dutch philosopher

23 "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

24 "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."

25 "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."

This body of quotes compiled by JoAnn Kite