"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."
"Men must be aware of the wisdom and the strength that is in them if their understanding is to be expanded." Vauvenargues (1715-1747), French soldier, moralist
"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
"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."
"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."
"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."
"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."
"Whence shall he have grief, how shall he be deluded who sees everywhere the Oneness?" Isha Upanishad
"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'."
"The ancient mathematical philosophers probed into the archetypal patterns and found them in nature."
"The manifest cosmos is an approximation of its mathematical ideal."
"Nature itself rests on an internal foundation of archetypal principles symbolized by numbers, shapes, and their arithmetic and geometric relationships."
"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."
"Archetypes are universal in that they are the same to everyone everywhere and in every era."
"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
"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
"Thou, nature, art my goddess; to thy laws my services are bound." William Shakespeare
"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."
"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."
"I am One that transorms into Two…I am Two that transforms into Four…I am Four that transforms into Eight…After this I am One again." Egyptian (Hermopolitan) creation myth
"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
"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."
"Only a self-imposed illusion of separateness keeps us from recognizing our own center of awareness and identity with the One"
"A circle [is] the traditional symbol of heaven, wholeness, and unity."
"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."