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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"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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"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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"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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"Intuition is the clear conception of the whole at once." Johann Lavater (1741-1801), Swiss poet, mystic 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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"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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"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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"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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"Archetypes are universal in that they are the same to everyone everywhere and in every era."
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"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."
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"Worldwide tradition acknowledges humans as being composed in accord with natural principles and made in the image of the cosmos."
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"In what way can a mathematical ratio permeate our souls? Through beauty. A deep part of ourselves recognizes in flowers and dancers the beauty of the mathematical infinite and sees in it the endlessness of our own depths. Natural beauty resonates with the archetypal nature within us."
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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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"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
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"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."
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"Whence shall he have grief, how shall he be deluded who sees everywhere the Oneness?" Isha Upanishad
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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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"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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"God created the universe through the Breath of the Compassionate." Mohammed (ca. 570-632)
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"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."
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"A circle [is] the traditional symbol of heaven, wholeness, and unity."
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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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"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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"Cognizance of harmony in nature and mathematics attunes us to harmony at our own core."
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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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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,
organized in terms of 39 primary categories. Quotes are randomized and appear in a different way at every click.
Explore the navigation options to review these insights.
We include
- All major spiritual and religious traditions, from all cultures, and all historical epochs
- Major psychologists, philosophers, writers, scholars and leading religious personalities
- Sources in classical religion as well as voices from new consciousness, esotericism and mysticism
- Choices are guided by the spirit of oneness, love, kindness, inclusion and community
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