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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"The mathematical rules of the universe are visible to men in the form of beauty." John Mitchell (b. 1933), English geometer and philosopher
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"The world is single and it came into being from the center outwards." Joannes Stobaeus (5th century), Greek anthologist
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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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"Archetypes are universal in that they are the same to everyone everywhere and in every era."
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"Human nature mirrors outer nature."
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"Only a self-imposed illusion of separateness keeps us from recognizing our own center of awareness and identity with the One"
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"That's why the world is called a UNIverse (Latin for 'one turn'). No other universes exist except within this One, which Plato refers to as the 'whole of wholes'."
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"Traditionally, the center is the most honorable place, known to the Greeks as 'the keep of Zeus.' Protector of hearths and boundaries (centers and circumferences) and the source of moral order, Zeus dispensed judgment from the center."
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"Geometric construction can be used as a form of meditation. Ponder the point as a seed enfolding a sacred mystery."
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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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"There is no man alone, because every man is a microcosm, and carries the whole world about him." Sir Thomas Browne
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"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
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"The manifest cosmos is an approximation of its mathematical ideal."
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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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"Looking at a circle is like looking into a mirror. We create and respond irresistibly to circles, cylinders, and spheres because we recognize ourselves in them. The message of the shape bypasses our conscious mental circuitry and speaks directly to the quiet intelligence of our deepest being. The circle is a reflection of the world's – and our own – deep perfection, unity, design excellence, wholenes, and divine nature."
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"The One underlies the Many."
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"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
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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 ancient mathematical philosophers probed into the archetypal patterns and found them in nature."
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"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."
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"Everything seeks unity. The goal of many religions and mythic ordeals is to return to a lost state of Divine Oneness. But we have no need to return to a state of oneness because unity is axiomatic and we already are integrated in it."
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"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
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"At the center of our Self, deep within our consciousness, is a calm 'I.' Like the calm 'eye' within a storm, our center is untouched by psychological turbulence. Peaceful, it observes all from the vantage of wisdom. Placid, it is unmoved by the turbulent weather of the surrounding psyche. When you're feeling connected with your center it seems very familiar. It feels like the Self you know best, like who and what you know your Self to be, calm in knowing without thinking. To be centered is not the same as being 'self-centered' or selfish. Instead, it is identity with the deep, divine power that motivates us."
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"Only by acknowledging both poles in the pair as inseparable can we overcome relative duality and get to their common source in the Monad. In our deepest Self we are beyond all polarity."
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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 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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- All major spiritual and religious traditions, from all cultures, and all historical epochs
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