A Quote by Bertrand Russell
The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.
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Mathematics, rightly viewed, possesses not only truth, but supreme beauty a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the georgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as in poetry.
The true spirit of delight...is to be found in mathematics as surely as in poetry.
There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material-these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being taught. What really matters is the communication of the spirit of mathematics. It is a spirit that is active rather than contemplative-a spirit of disciplined search for adventures of the intellect. Only as adventurer can really tell of adventures.
If you examine the highest poetry in the light of common sense, you can only say that it is rubbish; and in actual fact you cannot so examine it at all, because there is something in poetry which is not in the words themselves, which is not in the images suggested by the words 'O windy star blown sideways up the sky!' True poetry is itself a magic spell which is a key to the ineffable.
Love was even more mathematical than poetry. It was the pure mathematics of the spirit.
Gel'fand amazed me by talking of mathematics as though it were poetry. He once said about a long paper bristling with formulas that it contained the vague beginnings of an idea which could only hint at and which he had never managed to bring out more clearly. I had always thought of mathematics as being much more straightforward: a formula is a formula, and an algebra is an algebra, but Gel'fand found hedgehogs lurking in the rows of his spectral sequences!
There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics. It is every bit as mind blowing as cosmology or physics (mathematicians conceived of black holes long before astronomers actually found any), and allows more freedom of expression than poetry, art, or music (which depends heavily on properties of the physical universe). Mathematics is the purest of the arts, as well as the most misunderstood.
The sense that a man is serving a Higher than himself, with a service which will become ever more and more perfect freedom, evokes more profound, more humbling, more exalted emotions than any thing else in the world can do. The spirit of man is an instrument which cannot give out its deepest, finest tones, except under the immediate hand of the Divine Harmonist.
I think there is no work of art which represents the spirit of a nation more surely than "Die Meister Singer" of Richard Wagner. Here is no plaything with local colour, but the raising to its highest power all that is best in the national consciousness of his country.
Mathematics is one of the surest ways for a man to feel the power of thought and the magic of the spirit. Mathematics is one of the eternal truths and, as such, raises the spirit to the same level on which we feel the presence of God.
Since the printing press came into being, poetry has ceased to be the delight of the whole community of man; it has become the amusement and delight of the few.
The true essence of Chinese culture is sophistication, refinement, the spirit of poetry. The spirit of ink painting and calligraphy lives on forever. Calligraphy is more important than painting. Chinese always consider nature. Man is a very small part of nature. That's why in Chinese painting you see huge mountains and man very small, very humble before nature. You must be harmonious and one with nature. You don't fight it. And then there's a bit of a poetry. Of course, it's very complicated, but also very simple.
Indeed there can be no more useful help for discovering what poetry belongs to the class of the truly excellent, and can therefore do us most good, than to have always in one's mind lines and expressions of the great masters, and to apply them as a touchstone to other poetry.
The idea for which this nation stands will not survive if the highest goal free man can set themselves is an amiable mediocrity. Excellence implies striving for the highest standards in every phase of life.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
One merit of mathematics few will deny: it says more in fewer words than any other science. The formula, e^i? = -1 expressed a world of thought, of truth, of poetry, and of the religious spirit "God eternally geometrizes."
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