"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."
"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."
"'Harmony' (from the Greek 'harmonia', signifying 'fitting together') in music, as elsewhere in the cosmos, comes from the reconciliation of opposites by a third element, bringing them all a new unity."
"Worldwide tradition acknowledges humans as being composed in accord with natural principles and made in the image of the cosmos."
"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
"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."
"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."
"The One underlies the Many."
"Nature itself rests on an internal foundation of archetypal principles symbolized by numbers, shapes, and their arithmetic and geometric relationships."
"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."
"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
"The manifest cosmos is an approximation of its mathematical ideal."
"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."
"Archetypes are universal in that they are the same to everyone everywhere and in every era."
"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
"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
"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."
"The world's material forms are only approximations of ideal, eternal archetypes."
"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."
"A circle [is] the traditional symbol of heaven, wholeness, and unity."
"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."
"The mathematical rules of the universe are visible to men in the form of beauty." John Mitchell (b. 1933), English geometer and philosopher
"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."
"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.'"
"The ancient mathematical philosophers probed into the archetypal patterns and found them in nature."