A Quote by G. H. Hardy
The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.
Related Quotes
The mathematician's patterns, like the painter's or the poet's, must be beautiful.
A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
Beauty is the first test: there is no permanent place in the world for ugly mathematics.
A mathematician, like a painter or a poet, is a maker of patterns.
Gardening is a luxury occupation: an ornament, not a necessity, of life.... Fortunate gardener, who may preoccupy himself solely with beauty in these difficult and ugly days! He is one of the few people left in this distressful world to carry on the tradition of elegance and charm. A useless member of society, considered in terms of economics, he must not be denied his rightful place. He deserves to share it, however humbly, with the painter and poet.
The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious connexion of its parts, the infinite hierarchy and absolute evidence of the truths with which it is concerned, these, and such like, are the surest grounds of the title of mathematics to human regard, and would remain unimpeached and unimpaired were the plan of the universe unrolled like a map at our feet, and the mind of man qualified to take in the whole scheme of creation at a glance.
Beauty is, in some way, boring. Even if its concept changes through the ages... a beautiful object must always follow certain rules. A beautiful nose shouldn't be longer than that or shorter than that, on the contrary, an ugly nose can be as long as the one of Pinocchio, or as big as the trunk of an elephant, or like the beak of an eagle, and so ugliness is unpredictable, and offers an infinite range of possibility. Beauty is finite, ugliness is infinite like God.
The master-economist must possess a rare combination of gifts. He must reach a high standard in several different directions and must combine talents not often found together. He must be mathematician, historian, statesman, philosopher - in some degree. He must understand symbols and speak in words. He must contemplate the particular in terms of the general, and touch abstract and concrete in the same flight of thought. He must study the present in the light ofthe past for the purposes of the future
the power of beauty:what must the world be like for ugly women?
Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
I don't want to convince you that mathematics is useful. It is, but utility is not the only criterion for value to humanity. Above all, I want to convince you that mathematics is beautiful, surprising, enjoyable, and interesting. In fact, mathematics is the closest that we humans get to true magic. How else to describe the patterns in our heads that - by some mysterious agency - capture patterns of the universe around us? Mathematics connects ideas that otherwise seem totally unrelated, revealing deep similarities that subsequently show up in nature.
A mathematician ... has no material to work with but ideas, and so his patterns are likely to last longer, since ideas wear less with time than words.
Let the poet dream his dreams. Yet, the poet must look at the world; must enter into other men's lives; must look at the earth and the sky, must examine the dust in the street; must walk through the world and his mirror.
The poet must not only write the poem but must scrutinize the world intensely, or anyway that part of the world he or she has taken for subject. If the poem is thin, it is likely so not because the poet does not know enough words, but because he or she has not stood long enough among the flowers--has not seen them in any fresh, exciting, and valid way.
Beautiful is he who recognizes what is truly beautiful even if the surface is ugly. Truthful is he who says what is true even if the truth is ugly. Ugly is he who measures beauty by its exterior without first weighing the interior. And ugly is the man who judges harshly what he sees looking out without first judging what he sees in the mirror.
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