Quotes by Math Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious. Henri Poincare preparationmathdiscovery Mathematics is the art of giving the same name to different things. Henri Poincare mathscienceart A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature. Henri Poincare natureworkmath Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered. Henri Poincare generationsdiseasemath Now I feel as if I should succeed in doing something in mathematics, although I cannot see why it is so very important. . . The knowledge doesn't make life any sweeter or happier, does it? Helen Keller mathlifeknowledge Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence.... The two propositions: "The earth turns round" and "it is more convenient to suppose the earth turns round" have the same meaning; there is nothing more in the one than in the other. Henri Poincare mathtwomoving [T]he different branches of Arithmetic - Ambition [G]eometry is not true, it is advantageous. Henri Poincare differentambitionmath . . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most advantageous to the species or, in other words, the most convenient. Geometry is not true, it is advantageous. Henri Poincare mindmathworld Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer might be replaced by the "logic piano" imagined by Stanley Jevons; or, if you choose, a machine might be imagined where the assumptions were put in at one end, while the theorems came out at the other, like the legendary Chicago machine where the pigs go in alive and come out transformed into hams and sausages. No more than these machines need the mathematician know what he does. Henri Poincare pianomathmean Math is like water. It has a lot of difficult theories, of course, but its basic logic is very simple. Just as water flows from high to low over the shortest possible distance, figures can only flow in one direction. You just have to keep your eye on them for the route to reveal itself. That’s all it takes. You don’t have to do a thing. Just concentrate your attention and keep your eyes open, and the figures make everything clear to you. In this whole, wide world, the only thing that treats me so kindly is math. Haruki Murakami distanceeyemath The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another. Henri Poincare leadershiplawmath Talk with M. Hermite. He never evokes a concrete image, yet you soon perceive that the more abstract entities are to him like living creatures. Henri Poincare abstractmathlife Pure mathematics, may it never be of any use to anyone. Henry John Stephen Smith usemathmay It is the peculiar beauty of this method, gentlemen, and one which endears it to the really scientific mind, that under no circumstance can it be of the smallest possible utility. Henry John Stephen Smith mathbeautyscience In the one branch he most needed Henry Adams branchesneededmath As a child, I was called stupid and lazy. On the SAT I got 159 out of 800 in math. My parents had no idea that I had a learning disability. Henry Winkler stupidmathchildren Attaching significance to invariants is an effort to recognize what, because of its form or colour or meaning or otherwise, is important or significant in what is only trivial or ephemeral. A simple instance of failing in this is provided by the poll-man at Cambridge, who learned perfectly how to factorize a^2 - b^2 but was floored because the examiner unkindly asked for the factors of p^2 - q^2. Herbert Turnbull learningsimplemath Each individual has a responsibility to get out of bed, learn their ABCs, learn your math tables, not use race and racism as an excuse. Henry Louis Gates raceresponsibilitymath The full beauty of the subject of generating functions emerges only from tuning in on both channels: the discrete and the continuous. Herbert Wilf functiontuningmath In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure. Hermann Hankel tearsmathadd«2829303132333435363738»
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