A Quote by Hermann Weyl

In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry. — © Hermann Weyl
In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.
I started collecting aerial photographs of Native American and South Pacific architecture; only the African ones were fractal. And if you think about it, all these different societies have different geometric design themes that they use. So Native Americans use a combination of circular symmetry and fourfold symmetry.
We have a largely materialistic lifestyle characterized by a materialistic culture. However, this only provides us with temporary, sensory satisfaction, whereas long-term satisfaction is based not on the senses but on the mind. That’s where real tranquility is to be found. And peace of mind turns out to be a significant factor in our physical health too.
Modern man lives more and more in a preponderantly geometric order. All human creation mechanical or industrial is dependent upon geometric intentions.
Within the human consciousness is the unique ability to perceive the transparency between absolute, permanent relationships, contained in the insubstantial forms of a geometric order, and the transitory, changing forms of our actual world. The content of our experience results from an immaterial, abstract, geometric architecture which is composed of harmonic waves of energy, nodes of relationality, melodic forms springing forth from the eternal realm of geometric proportion.
Order is a necessary condition for making a structure function. A physical mechanism, be it a team of laborers, the body of an animal, or a machine, can work only if it is in physical order.
Furthermore, order is a necessary condition for making a structure function. A physical mechanism, be it a team of laborers, the body of an animal, or a machine, can work only if it is in physical order.
The law of right-left symmetry was used in classical physics but was not of any great practical importance there. One reason for this derives from the fact that right-left symmetry is a discrete symmetry, unlike rotational symmetry, which is continuous.
A fashionable idea in technical circles is that quantity not only turns into quality at some extreme of scale, but also does so according to principles we already understand. Some of my colleagues think a million, or perhaps a billion, fragmentary insults will eventually yield wisdom that surpasses that of any well-thought-out essay, so long as sophisticated secret statistical algorithms recombine the fragments. I disagree. A trope from the early days of computer science comes to mind: garbage in, garbage out.
As you know, Bergson pointed out that there is no such thing as disorder but rather two sorts of order, geometric and living.
Our notion of symmetry is derived form the human face. Hence, we demand symmetry horizontally and in breadth only, not vertically nor in depth.
You see, life only turns out good or bad for only a little bit. And then it turns out some other way.
Nature seems to take advantage of the simple mathematical representations of the symmetry laws. When one pauses to consider the elegance and the beautiful perfection of the mathematical reasoning involved and contrast it with the complex and far-reaching physical consequences, a deep sense of respect for the power of the symmetry laws never fails to develop.
I don't know if it's a sign of all the chaos that is happening out there or not, but I've lately craved the structure and order of classical music, the balance and symmetry.
There is a deep connection between Bernoulli's dictum and John Kelly's 1956 publication. It turns out that Kelly's prescription can be restated as this simple rule: When faced with a choice of wagers or investments, choose the one with the highest geometric means of outcomes.
During the late afternoon and early evening there is a specific dimension that interconnects with our physical world. This particular dimension can be visualized as series of horizontally shaped geometric planes that extent out into infinity.
When we say we have patterns, there is a cyclical movement to everything. Our psychological and emotional processes also have become cyclical largely because of a very strong attachment and involvement with physical process, and physical process has to be cyclical; only then we exist. Without out cyclical movement there'll be no physical existence.
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