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Arithmetic Quotes

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Arithmetic Quotes

“If a good system of agriculture, unrivaled manufacturing skill, a capacity to produce whatever can contribute to either convenience or luxury, schools established in every village for teaching reading, writing, and arithmetic, the general practice of hospitality and charity amongst each other, and above all, a treatment of the female sex full of confidence, respect, and delicacy, are among the signs which denote a civilized people – then the Hindus are not inferior to the nations of Europe, and if civilization is to become an article of trade between England and India, I am convinced that England will gain by the import cargo.”

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Author:Thomas Munro
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“It's completely logical," explained the Dodecahedron. "The more you want, the less you get, and the less you get, the more you have. Simple arithmetic, that's all. Suppose you had something and added something to it. What would that make?" "More," said Milo quickly. "Quite correct," he nodded. "Now suppose you had something and added nothing to it. What would you have?" "The same," he answered again, without much conviction. "Splendid," cried the Dodecahedron. "And suppose you had something and added less than nothing to it. What would you have then?" "FAMINE!" roared the anguished Humbug, who suddenly realized that that was exactly what he'd eaten twenty-three bowls of.”

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Book:The phantom tollbooth
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“A goal of this book has been to tear down in some small part these barriers to understanding by attempting to shatter the “divinity of arithmetic,” through showing that even the methods, which we now take most for granted, were not given to us from on high, but were actually the result of centuries of scientific efforts on the part of our predecessors. p. 269”

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Book:How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
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“There are many arts and sciences of which a miner should not be ignorant. First there is Philosophy, that he may discern the origin, cause, and nature of subterranean things; for then he will be able to dig out the veins easily and advantageously, and to obtain more abundant results from his mining. Secondly there is Medicine, that he may be able to look after his diggers and other workman ... Thirdly follows astronomy, that he may know the divisions of the heavens and from them judge the directions of the veins. Fourthly, there is the science of Surveying that he may be able to estimate how deep a shaft should be sunk ... Fifthly, his knowledge of Arithmetical Science should be such that he may calculate the cost to be incurred in the machinery and the working of the mine. Sixthly, his learning must comprise Architecture, that he himself may construct the various machines and timber work required underground ... Next, he must have knowledge of Drawing, that he can draw plans of his machinery. Lastly, there is the Law, especially that dealing with metals, that he may claim his own rights, that he may undertake the duty of giving others his opinion on legal matters, that he may not take another man's property and so make trouble for himself, and that he may fulfil his obligations to others according to the law.”

PhilosophyLawScienceNatureKnowledgeMedicineArchitectureDrawingAstronomyArithmeticMinerSurveyingMineralogy
Book:DE RE METALLICA [TRANSLATED FROM THE FIRST LATIN EDITION OF 1556]
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“Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems-general and specific statements-can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences.”

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Author:Christopher Zeeman
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“While the dogmatist is harmful, the sceptic is useless ...; one is certain of knowing, the other of not knowing. What philosophy should dissipate is certainty, whether of knowledge or of ignorance. Knowledge is not so precise a concept as is commonly thought. Instead of saying 'I know this', we ought to say 'I more or less know something more or less like this'. ... Knowledge in practical affairs has not the certainty or the precision of arithmetic.”

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Author:Bertrand Russell
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“I examined my Liberalism and found it like an addiction to roulette. Here, though the odds are plain, and the certainty of loss apparent to anyone with a knowledge of arithmetic, the addict, failing time and again, is convinced he yet is graced with the power to contravene natural laws. The roulette addict, when he invariably comes to grief, does not examine either the nature of roulette, or of his delusion, but retires to develop a new system, and to scheme for more funds.”

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Author:David Mamet
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“How can you shorten the subject? That stern struggle with the multiplication table, for many people not yet ended in victory, how can you make it less? Square root, as obdurate as a hardwood stump in a pasturenothing but years of effort can extract it. You can't hurry the process. Or pass from arithmetic to algebra; you can't shoulder your way past quadratic equations or ripple through the binomial theorem. Instead, the other way; your feet are impeded in the tangled growth, your pace slackens, you sink and fall somewhere near the binomial theorem with the calculus in sight on the horizon.”

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Author:Stephen Leacock
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“The modern Gamaliel should teach ethics. Ethics is the science of human duty. Arithmetic tells man how to count his money; ethics how he should acquire it, whether by honesty or fraud. Geography is a map of the world; ethics is a beautiful map of duty. This ethics is not Christianity, it is not even religion; but it is the sister of religion, because the path of duty is in full harmony, as to quality and direction, with the path of God.”

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Author:David Swing
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“We were to found a University magazine. A pair of little, active brothers-Livingstone by name, great skippers on the foot, great rubbers of the hands, who kept a book-shop over against the University building-had been debauched to play the part of publishers. We four were to be conjuct editors and, what was the main point of the concern, to print our own works; while, by every rule of arithmetic-that flatterer of credulity-the adventure must succeed and bring great profit. Well, well: it was a bright vision.”

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Book:Memories, Portraits, Essays and Records (Annotated Edition)
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“If an opinion contrary to your own makes you angry, that is a sign that you are subsciously aware of having no good reason for thinking as you do. [...] The most savage controversies are those about matters as to which there is no good evidence either way. Persecution is used in theology, not in arithmetic, because in arithmetic there is knowledge, but in theology there is only opinion. So whenever you find yourself getting angry about a difference of opinion, be on your guard; you will probably find, on examination, that your belief is going beyond what the evidence warrants.”

IfsThinkingWayMatterReasonUsedBeliefDifferencesOpinionEvidenceAngryContraryTheologyFinding YourselfSavagesPersecutionControversyExaminationArithmeticWarrantsDifferences Of Opinion
Author:Bertrand Russell
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“Man is a rational animal—so at least I have been told. … Aristotle, so far as I know, was the first man to proclaim explicitly that man is a rational animal. His reason for this view was … that some people can do sums. … It is in virtue of the intellect that man is a rational animal. The intellect is shown in various ways, but most emphatically by mastery of arithmetic. The Greek system of numerals was very bad, so that the multiplication table was quite difficult, and complicated calculations could only be made by very clever people.”

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Author:Bertrand Russell
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“We believe that arithmetic as it has been taught in grade schools until quite recently has such a meagre intellectual content that the oft-noted reaction against the subject is not an unfortunate rebellion against a difficult subject, but a perfectly proper response to a preoccupation with triviality.”

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Author:Lynn Steen
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“Science is turning into a monastery for the Order of Capitulant Friars. Logical calculus is supposed to supersede man as moralist. We submit to the blackmail of the 'superior knowledge' that has the temerity to assert that nuclear war can be, by derivation, a good thing, because this follows from simple arithmetic.”

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Book:His Master's Voice
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“While we bemoan the decline of literacy, computers discount words in favor of pictures and pictures in favor of video. While we fret about the decreasing cogency of public debate, computers dismiss linear argument and promote fast, shallow romps across the information landscape. While we worry about basic skills, we allow into the classroom software that will do a student's arithmetic or correct his spelling.”

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Author:David Gelernter
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“The attempt to apply rational arithmetic to a problem in geometry resulted in the first crisis in the history of mathematics. The two relatively simple problems -- the determination of the diagonal of a square and that of the circumference of a circle -- revealed the existence of new mathematical beings for which no place could be found within the rational domain.”

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Author:David van Dantzig
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“As professor in the Polytechnic School in Zürich I found myself for the first time obliged to lecture upon the elements of the differential calculus and felt more keenly than ever before the lack of a really scientific foundation for arithmetic.”

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Book:Essays on the Theory of Numbers: I. Continuity and Irrational Numbers, II. The Nature and Meaning of Numbers
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