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 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."

2 "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."

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

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

5 "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

6 "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

7 "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

8 "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."

9 "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

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

11 "The One underlies the Many."

12 "The perfection of mathematical beauty is such that whatsoever is most beautiful and regular is also found to be most useful and excellent." Sir D'Arcy Wentworth Thompson

13 "Consistent themes in these [mythic] stories emerge quickly: opposites are balanced by a third, mediating element that reconciles a conflict, healing the split of polarity and transforming separate parts into a complete and successful whole."

14 "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."

15 "A common theme in worldwide mythology is the human as microcosm, a miniature model of the whole universe…this view was long considered a key to the understanding of the Self. The ancient philosophers saw their inner lives arranged according to nature's own harmonies, for in nature, geometry, and their spiritual lives they discovered the same principles."

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 "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."

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

19 "Scientists confirm with formulas what ancient seers knew through revelation: that the world's patterns and cycles are harmonious when seen as mathematical relationships…Where we see 'things', nouns and discrete objects, the ancient mathematical philosophers saw PROCESSES, verbs, transforming patterns meshed harmoniously."

20 "Each circle you see or create is a profound statement about the transcendental nature of the uni-verse."

21 "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

22 "Thou, nature, art my goddess; to thy laws my services are bound." William Shakespeare

23 "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.'"

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

25 "What nature creates has eternity in it." Isaac Bashevis Singer (1904-1991), American author

This body of quotes compiled by JoAnn Kite