Symmetry Quotes - page 3
The Key! it is of wonderful construction, with its infinity of combination, and its unlimited capacity to fit every lock. ... it is the great master-key which unlocks every door of knowledge and without which no discovery which deserves the name - which is law, and not isolated fact - has been or ever can be made. Fascinated by its symmetry the geometer may at times have been too exclusively engrossed with his science, forgetful of its applications; he may have exalted it into his idol and worshipped it; he may have degraded it into his toy . . . when he should have been hard at work with it, using it for the benefit of mankind and the glory of his Creator.
Benjamin Peirce
Maxwell's equations... originally consisted of eight equations. These equations are not "beautiful." They do not possess much symmetry. In their original form, they are ugly.... However, when rewritten using time as the fourth dimension, this rather awkward set of eight equations collapses into a single tensor equation. This is what a physicist calls "beauty," because both criteria are now satisfied.
Michio Kaku
Darwinian social theory gives us a glimpse of an underlying symmetry and logic in social relationships which, when more fully comprehended by ourselves, should revitalize our political understanding and provide the intellectual support for a science and medicine of psychology. In the process it should also give us a deeper understanding of the many roots of our suffering.
Robert Trivers
Some people focus more on sonics. Some people focus more on story. I focus on both sonics and story, but music sometimes, just music itself, can turn into more of a maths problem. I guess everything in life is a math problem, but it can be more about an empirical route to getting the symmetry that you want, and this vibe, sonically.
Frank Ocean
In art, at a certain level, there is no 'better than.' It's just about trying to operate for yourself on the most supreme level, artistically, that you can and hoping that people get it. Trusting that, just because of the way people are built and how interconnected we are, greatness will translate and symmetry will be recognised.
Frank Ocean
![You do not know me, but I am a juvenile delinquent. I do not trust authority figures, I probably will not graduate from high school, and statistics say my present rowdiness and vandalism will likely lead to more serious crimes. I am a dangerous fellow, and I am causing mayhem in this store. [...] There. I have now shamelessly destroyed the symmetry of this shelf, undoing hours of labor by underpaid store employees. If you could see me, you would be frightened. (Katherine Applegate)](https://cdn.quotesdtb.com/img/quotes_images_webp/83/katherine-applegate-authority-causing-880283.webp)
Which are the arguments and how many are there? I must have an inbred urge toward symmetry. In canvassing for the principal ways of criticizing, assaulting, and ridiculing the three successive "progressive" thrusts of Marshall's story, I have come up with another triad: that is, with three principal reactive-reactionary theses, which I call the perversity thesis or thesis of the perverse effect, the futility thesis, and the jeopardy thesis. According to the perversity thesis, any purposive action to improve some feature of the political, social, or economic order only serves to exacerbate the condition one wishes to remedy. The futility thesis holds that attempts at social transformation will be unavailing, that they will simply fail to "make a dent.”.
Albert O. Hirschman
Each of the most basic physical laws that we know corresponds to some invariance, which in turn is equivalent to a collection of changes which form a symmetry group. ...whilst leaving some underlying theme unchanged. ...for example, the conservation of energy is equivalent to the invariance of the laws of motion with respect to translations backwards or forwards in time... the conservation of linear momentum is equivalent to the invariance of the laws of motion with respect to the position of your laboratory in space, and the conservation of angular momentum to an invariance with respect to directional orientation... discovery of conservation laws indicated that Nature possessed built-in sustaining principles which prevented the world from just ceasing to be. There were fewer roles for the Deity to play...
John D. Barrow
Hundreds of years ago, natural theologians tried to impress their readers with stories of the wondrous symmetries of Nature; now we see that, ironically, it is the departures from those symmetries that makes life possible. It is upon the flaws of Nature, not the laws of Nature, that the possibility of our existence hinges. ...The laws and constants of Nature are features that enforce uniformity and simplicity, while initial conditions and symmetry breakings permit complexity and diversity.
John D. Barrow
Aristotle believed that the world did not come into being at some time in the past; it had always existed and it would always exist, unchanged in essence for ever. He placed a high premium on symmetry and believed that the sphere was the most perfect of all shapes. Hence the universe must be spherical. ...An important feature of the spherical shape... was the fact that when a sphere rotates it does not cut into empty space where there is no matter and it leaves no empty space behind. ...A vacuum was impossible. It could no more exist than an infinite physical quantity. ...Circular motion was the most perfect and natural movement of all.
John D. Barrow
Quantum theory may be formulated using Hilbert spaces over any of the three associative normed division algebras: the real numbers, the complex numbers and the quaternions. Indeed, these three choices appear naturally in a number of axiomatic approaches. However, there are internal problems with real or quaternionic quantum theory. Here we argue that these problems can be resolved if we treat real, complex and quaternionic quantum theory as part of a unified structure. Dyson called this structure the "three-fold way".... This three-fold classification sheds light on the physics of time reversal symmetry, and it already plays an important role in particle physics.
John C. Baez
Supergravity theories generically contain non-compact global symmetry groups. The general rule is that the scalar fields of the theory in question parametrize a symmetric space. Thus, if the non-compact symmetry group is G, and its maximal compact subgroup is H, the scalar fields map the space-time into the symmetric space G/H, and the number of scalar fields is dim G – dim H. The first supergravity example of this type to be found, N = 4 supergravity is one of the most interesting. In this case there are two scalar fields and the symmetric space is SL(2,R)/SO(2).
John Henry Schwarz
It's been on my mind – what would something be like if it were unbalanced? It's been a vexing question for a long time. But it took the experience of working with radical kinds of symmetry, not just a rectangle, but a diamond shape, as well as extreme extensions of shapes, before I finally came to the idea of everything being unbalanced, nothing vertical, nothing horizontal, nothing parallel. I came to the fact that unbalancing has its own order. In a peculiar way, it can still end up feeling symmetrical. I don't know but what the very nature of our response to art is experienced symmetrically.
Kenneth Noland
By the late Nineties, we had become a more visual nation. Big-money taste moved to global standards - new architecture, design and show-off contemporary art. The Sloane domestic aesthetic - symmetry, class symbolism and brown furniture - became as unfashionable as it had been hot in the early Eighties.
Peter York
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.
Ron Eglash
