Histories make men wise poets, witty the mathematics, subtle natural philosophy, deep moral, grave logic and rhetoric, able to contend.
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Arithmetic is where the answer is right and everything is nice and you can look out of the window and see the blue sky -- or the answer is wrong and you have to start over and try again and see how it comes out this time.
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We do not learn by inference and deduction and the application of mathematics to philosophy, but by direct intercourse and sympathy.
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There is an astonishing imagination, even in the science of mathematics... We repeat, there was far more imagination in the head of Archimedes than in that of Homer.
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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 poetry.
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Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week.
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There was a blithe certainty that came from first comprehending the full Einstein field equations, arabesques of Greek letters clinging tenuously to the page, a gossamer web. They seemed insubstantial when you first saw them, a string of squiggles. Yet to follow the delicate tensors as they contracted, as the superscripts paired with subscripts, collapsing mathematically into concrete classical entities-- potential; mass; forces vectoring in a curved geometry-- that was a sublime experience. The iron fist of the real, inside the velvet glove of airy mathematics.
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Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
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But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.
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The more reasonable a student was in mathematics, the more unreasonable she was in the affairs of real life, concerning which few trustworthy ...
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I must study politics and war that my sons may have liberty to study mathematics and philosophy. My sons ought to study mathematics and philosophy, geography, natural history, naval architecture, navigation, commerce and agriculture in order to give their
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Mathematics is, as it were, a sensuous logic, and relates to philosophy as do the arts, music, and plastic art to poetry.
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Let us grant that the pursuit of mathematics is a divine madness of the human spirit, a refuge from the goading urgency of contingent happenings.
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It's satisfying to know that the U.S. Department of Education recognizes the expertise of our faculty and has selected us to lead the way in improving mathematics teacher recruitment, preparation and support.
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It is amusing to discover, in the twentieth century, that the quarrels between two lovers, two mathematicians, two nations, two economic systems, usually assumed insoluble in a finite period should exhibit one mechanism, the semantic mechanism of identification -- the discovery of which makes universal agreement possible, in mathematics and in life.
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So-called professional mathematicians have, in their reliance on the relative incapacity of the rest of mankind, acquired for themselves a reputation for profundity very similar to the reputation for sanctity possessed by theologians.
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I must study politics and war that my sons may have liberty to study mathematics and philosophy. My sons ought to study mathematics and philosophy, geograhy, natural history, naval architecture, navigation, commerce, and agriculture, in order to give their children a right to study painting, poetry, music architecture, statuary, tapestry, and porcelain.
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How happy the lot of the mathematician! He is judged solely by his peers, and the standard is so high that no colleague or rival can ever win a reputation he does not deserve. No cashier writes a letter to the press complaining about the incomprehensibility of Modern Mathematics and comparing it unfavorably with the good old days when mathematicians were content to paper irregularly shaped rooms and fill bathtubs without closing the waste pipe.
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I must study politics and war that my sons may have liberty to study mathematics and philosophy. My sons ought to study mathematics and philosophy, geography, natural history, naval architecture, navigation, commerce, and agriculture, in order to give their children a right to study painting, poetry, music, architecture, statuary, tapestry, and porcelain.
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It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer.
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It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to mathematics, though she is still forbidden to resort to physics and chemistry.
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To those who do not know mathematics it is difficult to get acoss a eal feeling as to the beauty, the deepest beauty, of natue. If you want to lean about natue, to appeciate natue, it is necessay to undestand the language that she speaks in
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The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method
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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.
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Economics is haunted by more fallacies than any other study known to man. This is no accident. The inherent difficulties of the subject would be great enough in any case, but they are multiplied a thousandfold by a factor that is insignificant in , say, physics, mathematics, or medicine -- the special pleading of selfish interests.
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Nobody before the Pythagorean had thought that mathematical relations held the secret of the universe. Twenty-five centuries later, Europe is still blessed and cursed with their heritage. To non-European civilizations, the idea that numbers are the key to both wisdom and power, seems never to have occurred.
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I have often admired the mystical way of Pythagoras, and the secret magic of numbers.
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Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra.
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Modern bodybuilding is ritual, religion, sport, art, and science, awash in Western chemistry and mathematics. Defying nature, it surpasses it.
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Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.
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