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.
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"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
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"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
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"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
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"Intuition is the clear conception of the whole at once." Johann Lavater (1741-1801), Swiss poet, mystic and philosopher
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"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."
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"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."
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"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
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"Sacred space is within us…Wherever we go we bring the sacred within us to the sacred around us."
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"God created the universe through the Breath of the Compassionate." Mohammed (ca. 570-632)
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"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.'"
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"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."
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"Oh, grant me my prayer, that I may never lose the touch of the one in the play of the many." Rabindranath Tagore (1861-1941), Indian poet
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"Even the seasons form a great circle in their changing, and always come back again to where they were…. and so it is in everything where Power moves." Black Elk, Native American elder
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"Cognizance of harmony in nature and mathematics attunes us to harmony at our own core."
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"The ancient mathematical philosophers probed into the archetypal patterns and found them in nature."
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"The archetypal principles of number manifest themselves as forms around us. Circles and spheres, triangles, squares, pentagons, spirals, and the five Platonic volumes represent principles that shape the world."
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"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."
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"Thou, nature, art my goddess; to thy laws my services are bound." William Shakespeare
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"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."
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"The world's material forms are only approximations of ideal, eternal archetypes."
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"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."
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"Archetypes are universal in that they are the same to everyone everywhere and in every era."
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"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
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"Nature itself rests on an internal foundation of archetypal principles symbolized by numbers, shapes, and their arithmetic and geometric relationships."
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"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."
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We are gathering together the primary insights of spirituality and bringing them together into one place.
This archive contains 11,754 quotes, taken from 635 references,
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We include
- All major spiritual and religious traditions, from all cultures, and all historical epochs
- Major psychologists, philosophers, writers, scholars and leading religious personalities
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