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Beauty Quotes

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Beauty Quotes

“Without an allegiance to beauty, art degenerates into a caricature of itself. It is beauty that animates aesthetic experience, making it so seductive; but aesthetic experience itself degenerates into a kind of fetish or idol if it is held up as an end in itself, untested by the rest of life.”

“Mathematicians are beginning to view order and chaos as two distinct manifestations of an underlying determinism. And neither state exists in isolation. The typical system can exist in a variety of states, some ordered, some chaotic. Instead of two opposed polarities, there is a continuous spectrum. As harmony and discord combine in musical beauty, so order and chaos combine in mathematical [and physical] beauty.”

“...a major triumph of mathematical imagination: the use of visual imagery to condense a large quantity of information into a single comprehensible picture... Mathematicians are just beginning to understand these basic building blocks of change and to analyze how they combine. The methodology involved has a very different spirit from traditional modeling with differential equations: it is more like chemistry than calculus, requiring careful counterpoint between analysis and synthesis.”

“Beauty is how you feel inside, and it reflects in your eyes. It is not something physical.”

“You use a glass mirror to see your face; you use works of art to see your soul.”

“If theory is the role of the architect, then such beautiful proofs are the role of the craftsman. Of course, as with the great renaissance artists, such roles are not mutually exclusive. A great cathedral has both structural impressiveness and delicate detail. A great mathematical theory should similarly be beautiful on both large and small scales.”

“The Besicovitch style is architectural. He builds out of simply elements a delicate and complicated architectural structure, usually with a hierarchical plan, and then, when the building is finished, the completed structure leads by simple arguments to an unexpected conclusion. Every Besicovitch proof is a work of art, as carefully constructed as a Bach fugue.”

“For though, in nature, depth and height Are equally held infinite: In poetry, the height we know; 'Tis only infinite below.”

“Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as we have succeeded in unraveling fully the natural laws which govern reality, we find them to be expressible by mathematical relations of surprising simplicity and architectonic perfection. It seems to me to be one of the chief objects of mathematical instruction to develop the faculty of perceiving this simplicity and harmony.”

“Any halfway clever devil would decorate the highway to Hell as beautiful as possible.”

“There was a product which seemed attractive, expensive, portable, beautiful and simple. Everybody talked about its beauty but they bought it for it's simplicity.”

“If there is anything like a unifying aesthetic principle in mathematics, it is this: simple is beautiful. Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary.”