Mathematics Quotes - Page 12

• Mathematics is the queen of science, and arithmetic the queen of mathematics.

  Carl Friedrich Gauss

  Queens, Math, Arithmetic

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• Music is the pleasure the human mind experiences from counting without being aware that it is counting.

  Gottfried Leibniz

  Music, Math, Science

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• 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.

  James Joseph Sylvester

  Beauty, Men, Order

  James Joseph Sylvester (1908). “The Collected Mathematical Papers: (1870-1883)”

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• Thus metaphysics and mathematics are, among all the sciences that belong to reason, those in which imagination has the greatest role. I beg pardon of those delicate spirits who are detractors of mathematics for saying this . . . . The imagination in a mathematician who creates makes no less difference than in a poet who invents. . . . Of all the great men of antiquity, Archimedes may be the one who most deserves to be placed beside Homer.

  Jean le Rond d'Alembert

  Math, Men, Differences

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• To be sure, mathematics can be extended to any branch of knowledge, including economics, provided the concepts are so clearly defined as to permit accurate symbolic representation. That is only another way of saying that in some branches of discourse it is desirable to know what you are talking about.

  James R Newman

  Knowledge, Math, Talking

  James R. Newman (2000). “The World of Mathematics”, p.1200, Рипол Классик

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• It is true that I should have been surprised in the past to learn that Professor Hardy had joined the Oxford Group. But one could not say the adverse chance was 1:10. Mathematics is a dangerous profession; an appreciable proportion of us go mad, and then this particular event would be quite likely.

  John Edensor Littlewood

  Learning, Math, Past

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• That sometimes clear ... and sometimes vague stuff ... which is ... mathematics.

  Imre Lakatos

  Math, Stuff, Sometimes

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• Mathematics may be likened to a large rock whose interior composition we wish to examine. The older mathematicians appear as persevering stone cutters slowly attempting to demolish the rock from the outside with hammer and chisel. The later mathematicians resemble expert miners who seek vulnerable veins, drill into these strategic places, and then blast the rock apart with well placed internal charges.

  Howard Whitley Eves

  Math, Rocks, Wish

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• Without the concepts, methods and results found and developed by previous generations right down to Greek antiquity one cannot understand either the aims or achievements of mathematics in the last 50 years. [Said in 1950]

  Hermann Weyl

  Years, Achievement, Greek

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• He is not a true man of science who does not bring some sympathy to his studies, and expect to learn something by behavior as well as by application. It is childish to rest in the discovery of mere coincidences, or of partial and extraneous laws. The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics. The fact which interests us most is the life of the naturalist. The purest science is still biographical.

  Henry David Thoreau

  Life, Learning, Exercise

  Henry David Thoreau (2017). “Journeys, Adventures & Life in Harmony with Nature – 6 Book Collection (Illustrated): Including Walden, A Week on the Concord and Merrimack Rivers, The Maine Woods, Cape Cod, A Yankee in Canada & Canoeing in the Wilderness - North American Highlands Series”, p.270, e-artnow

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• The bottom line for mathematicians is that the architecture has to be right. In all the mathematics that I did, the essential point was to find the right architecture. It's like building a bridge. Once the main lines of the structure are right, then the details miraculously fit. The problem is the overall design.

  Freeman Dyson

  Math, Bridges, Design

  "Freeman Dyson: Mathematician, Physicist, and Writer". The College Mathematics Journal Interview with Donald J. Albers, January 1994.

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• Abstractness, sometimes hurled as a reproach at mathematics, is its chief glory and its surest title to practical usefulness. It is also the source of such beauty as may spring from mathematics.

  Eric Temple Bell

  Beauty, Spring, Math

  "The Development of Mathematics" by Eric Temple Bell, (p. 9), 1940.

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• Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.

  Eric Temple Bell

  Art, Inspiration, Past

  Eric Temple Bell (1938). “The queen of the sciences”

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• If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics.

  Eric Temple Bell

  Writing, Mean, Eye

  Eric Temple Bell (1945). “Men of Mathematics”

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• When the mathematician says that such and such a proposition is true of one thing, it may be interesting, and it is surely safe. But when he tries to extend his proposition to everything, though it is much more interesting, it is also much more dangerous. In the transition from one to all, from the specific to the general, mathematics has made its greatest progress, and suffered its most serious setbacks, of which the logical paradoxes constitute the most important part. For, if mathematics is to advance securely and confidently, it must first set its affairs in order at home.

  Edward Kasner

  Home, Order, Interesting

  "Mathematics and the Imagination".

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• Mathematics is often erroneously referred to as the science of common sense. Actually, it may transcend common sense and go beyond either imagination or intuition. It has become a very strange and perhaps frightening subject from the ordinary point of view, but anyone who penetrates into it will find a veritable fairyland, a fairyland which is strange, but makes sense, if not common sense.

  Edward Kasner

  Math, Views, Common Sense

  Edward Kasner, James Newman (2013). “Mathematics and the Imagination”, p.8, Courier Corporation

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• 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!

  Dusa McDuff

  Math, Talking, Ideas

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• ...mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics. Every other science, even logic, especially in its early stages, is in danger of evaporating into airy nothingness, degenerating, as the Germans say, into an arachnoid film, spun from the stuff that dreams are made of. There is no such danger for pure mathematics; for that is precisely what mathematics ought to be.

  Charles Sanders Peirce

  Dream, Math, Science

  Charles Sanders Peirce (1931). “Collected Papers of Charles Sanders Peirce”

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• Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does not attempt to draw absolute conclusions. All mathematical truths are relative, conditional. In E. T. Bell Men of Mathematics, New York: Simona and Schuster, 1937.

  Charles Proteus Steinmetz

  New York, Science, Men

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• Now that practical skills have developed enough to provide adequately for material needs, one of these sciences which are not devoted to utilitarian ends [mathematics] has been able to arise in Egypt, the priestly caste there having the leisure necessary for disinterested research.

  Aristotle

  Math, Skills, Egypt

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• See skulking Truth to her old cavern fled, Mountains of Casuistry heap'd o'er her head! Philosophy, that lean'd on Heav'n before, Shrinks to her second cause, and is no more. Physic of Metaphysic begs defence, And Metaphysic calls for aid on Sense! See Mystery to Mathematics fly!

  Alexander Pope

  Philosophy, Math, Mountain

  Alexander Pope, William Roscoe (1847). “The works of Alexander Pope, esq., with notes and illustrations, by himself and others. To which are added, a new life of the author, an Estimate of his poetical character and writings, and occasional remarks by William Roscoe, esq”, p.365

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• To all of us who hold the Christian belief that God is truth, anything that is true is a fact about God, and mathematics is a branch of theology.

  Hilda Phoebe Hudson

  Christian, Education, Math

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• Mathematical study and research are very suggestive of mountaineering. Whymper made several efforts before he climbed the Matterhorn in the 1860's and even then it cost the life of four of his party. Now, however, any tourist can be hauled up for a small cost, and perhaps does not appreciate the difficulty of the original ascent. So in mathematics, it may be found hard to realise the great initial difficulty of making a little step which now seems so natural and obvious, and it may not be surprising if such a step has been found and lost again.

  Louis J. Mordell

  Party, Science, Appreciate

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• The problem is that no ethical system has ever achieved consensus. Ethical systems are completely unlike mathematics or science. This is a source of concern.

  Daniel Dennett

  Problem, Ethical, Source

  "Daniel Dennett: Darwin's Dangerous Idea (1995)". Interview with Hari Kunzru, www.harikunzru.com. December 17, 2008.

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• As I considered the matter carefully it gradually came to light that all those matters only were referred to mathematics in which order and measurements are investigated, and that it makes no difference whether it be in numbers, figures, stars, sounds or any other object that the question of measurement arises. I saw consequently that there must be some general science to explain that element as a whole which gives rise to problems about order and measurement, restricted as these are to no special subject matter. This, I perceived was called 'universal mathematics'.

  Rene Descartes

  Stars, Science, Light

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