All science requires mathematicsthe knowledge of mathematical things is almost innate in usthis is the easiest of sciences. A fact which is obvious in that no one's brain rejects it. For laymen and people who are utterly illiterate know how to count and reckon.1267 Opus Majus, pt.4, ch.1 (translated by Robert Belle Burke, 1928).
Angling may be saidtobe so likemathematics, that itcan never be fully learnt.Izaak Walton: 1653 The Compleat Angler,'Epistle to the Reader'.
Entre le pe nis et les mathe matiquesil n'existe rien. Rien! Between the penis and mathematicsthere's nothing. Nothing!Destouches: 1932 Voyage au bout de la nuit ( Journey to the End of Night, translated by John H P Marks,1960).
All creative people hate mathematics. It's the most uncreative subject you can study.SirAlec (AlexanderArnold Constantine) Issigonis: Recalled on his death. Quoted in The Australian, 5 Oct1988.
[There is] a delusion that macro-economics is both viableanduseful (a delusionencouraged by its extensive use of mathematics, which must always impress politicians lacking any mathematical education, and which is really the nearest thing to the practice of magic that occurs among professional economists).Friedrich August von Hayek: 1989 The Fatal Conceit: The Errors of Socialism, ch.6.
As faras the laws of mathematics refer to reality, theyare not certain, and as far as they are certain, they do not refer to reality.Albert Einstein: Quoted in Fritjof Capra The Tao of Physics (1975), ch.2.
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.Russell, Bertrand Arthur William Russell, 3rd Earl: 1917 Mysticism and Logic.
Mathematics is the door and key to the sciences.1267 Opus Majus, pt.4, ch.1 (translated by Robert Belle Burke, 1928).
Mathematics is thought moving in the sphere of complete abstraction from any particular instance of what it is talking about.Alfred North Whitehead: 1925 ScienceAnd the ModernWorld.
EDUCATION.At Mr Wackford Squeers's Academy, Dotheboys Hall, at the delightful village of Dotheboys, near Greta Bridge inYorkshire.Youth are boarded, clothed, booked, furnished with pocket-money, providedwith all necessaries, instructed inall languages, living and dead, mathematics, orthography, geometry, astronomy, trigonometry, the use of the globes, algebra, single stick (if required), writing, arithmetic, fortification, and every other branch of classical literature. Terms, twenty guineas per annum. No extras, no vacations, and diet unparalleled.charles dickens: 1838-9 Nicholas Nickleby, ch.3.
Mathematics possesses not only truth, but supreme beautya beauty cold and austere, like that of sculpture.Russell, Bertrand Arthur William Russell, 3rd Earl: 1903 The Principles of Mathematics.
Let no one ignorant of mathematics enter here.Plato: c.380 BC Inscription over the door of theAcademy at Athens.
It wasn't by accident that the Gettysburg address was so short. The laws of prose writing are as immutable as those of flight, of mathematics, of physics.Ernest Millar Hemingway: 1945 Letter, 23 Jul.
All things began in order, so shall they end, and so shall they begin again; according to the ordainer of order and mystical mathematics of the city of heaven.SirThomas Browne: 1658 The Garden of Cyrus, ch.5.
In one word he told me the secret of success in mathematics: Plagiarizeonly be sure always to call it please 'research'.Tom (Thomas Andrew) Lehrer: 1953 'Lobachevski', satirical song.
Beauty isthe first test: there isno permanent place in the world for ugly mathematics.Godfrey Harold Hardy: 1941A Mathematician's Apology.
Vanite desVanite s;Vanite de la ge ome trie. Vanity of vanities! Vanity of mathematics!the Great Frederick II: 1778 Letter to Voltaire, 25 Jan, protesting against the increasing use of mathematical calculation in engineering projects, which he saw as theory triumphing over practical experience.
There are two ways to teach mathematics.One is to take real pains toward creating understandingvisual aids, that sort of thing. The other is the old British style of teaching until you're blue in the face.1956 Quoted in the NewYork Times, 30 Sep.
The science of government it is my duty to study, more than all other sciences; the arts of legislation and administration and negotiation ought to take the place of, indeed exclude, in a manner, all other arts. I must study politics and war, that our sons may have liberty to study mathematics and philosophy. Our sons ought to study mathematics and philosophy, geography, natural history and naval architecture, navigation, commerce and agriculture in order to give their children a right to study painting, poetry, music, architecture, statuary, tapestry and porcelain.john adams: Letter to Abigail Adams (12 May 1780)
Any author who uses mathematics should always express in ordinary language the meaning of the assumptions he admits, as well as the significance of the results obtained. The more abstract his theory, the more imperative this obligation.In fact, mathematics are and can only be a tool to explore reality. In this exploration, mathematics do not constitute an end in itself, they are and can only be a means.maurice allais: in La formation scientifique, Une communication du Prix Nobel d’économie, Maurice Allais, address to the Académie des Sciences Morales et Politiques (1997).
The principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.alfred jules ayer: p. 77 (Language, Truth, and Logic (1936))
Do not mathematics and all sciences seem full of contradictions and impossibilities to the ignorant, which are all resolved and cleared to those that understand them?Richard Baxter: Reported in Josiah Hotchkiss Gilbert, Dictionary of Burning Words of Brilliant Writers (1895), p. 36.
You need only a sheet of paper and so mathematics starts.Interview of Guido Beck by John Heilbron on April 22, 1967, Niels Bohr Library & Archives, American Institute of Physics, College Park, MD USA
Even in mathematics his whimsical fancy was sometimes suffered to peep out, and little girls who learnt the rudiments of calculation at his knee found the path they had imagined so thorny set about with roses by reason of the delightful fun with which he would turn a task into a joy. But when the fun was over the little girl would find that she had learnt the lesson (all unknowingly) just the same. Happy little girls who had such a master.isa bowman: Page 5 (The Story of Lewis Carroll (1899))
Mathematical theory, tested in practice and constantly retested, is a valuable aid to play. Mathematics alone will blind you and let others rob you.aaron c. brown: Chapter 9, Who Got Game, p. 279