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Mathematical Quotes
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It is a mathematical fact that if a line be not perfectly directed towards a point, it will actually go further away from it as it comes nearer to it.
G. K. Chesterton
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It must not be supposed... that it is to a gift of Nature that I owe such mathematical power as I possess. No, it has come by hard work, hard work. Not mere industry, but brain-splitting thinking — hard work; hard work that has often endangered my health.
Carl Gustav Jacob Jacobi
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Our inner weighing of evidence is not a careful mathematical calculation resulting in a probabilistic estimate of truth, but more like a whirlpool blending of the objective and the personal. The result is a set of beliefs - both conscious and unconscious - that guide us in interpreting all the events of our lives.
Leonard Mlodinow
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If you attack a mathematical problem directly, very often you come to a dead end, nothing you do seems to work and you feel that if only you could peer round the corner there might be an easy solution. There is nothing like having somebody else beside you, because he can usually peer round the corner.
Michael Atiyah
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Mathematicks may help the naturalist, both to frame hypotheses, and to judge of those that are proposed to them, especially such as relate to mathematical subjects in conjunction with others.
Robert Boyle
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To examine the varied relations of necessary truth, and to trace through its successive developments, the simple principle to its ultimate result, is the peculiar province of Mathematical Analysis.
Charles Babbage
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How small is the number of individuals who are qualified to think justly on metaphysical, moral, or political subjects, in comparison of those, who may be trained by practice to follow the longest processes of mathematical reasoning.
Dugald Stewart
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Indeed it is paradoxical that abstractions so remote from reality should achieve so much. Artificial the mathematical account may be, a fairy tale perhaps, but one with a moral.
Morris Kline
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All mathematical calculations about the course of nature must start from some assumed law of nature... Accordingly, however accurately we have calculated that some event must occur, the doubt always remains — Is it true?
Alfred North Whitehead
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In the flowering of a mathematical talent social environment has an important part to play.
Jean Dieudonné
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One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the mathematical imagination.
Freeman Dyson
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A particular danger, I believe, lies in an oversimplified use of mathematical or statistical methods of investigation, in which obviously erroneous results may be obtained by a selection of only a few of many relevant factors to be considered.
Claud William Wright
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Mathematical truths and scientific discoveries have an intrinsic value, and this must be judged and appreciated impartially, whoever their author may chance to be.
Charles Nordmann
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Despite centuries of effort, the universe continues to hide answers to most mathematical issues.
Michael Starbird
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An equal appreciation of all branches of the mathematical, physical, and natural sciences is a special requirement of the present age, in which the material wealth and the growing prosperity of nations are principally based upon a more enlightened employment of the products and forces of Nature.
Alexander von Humboldt
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Absolute, true, and mathematical time, of itself, and from its own nature, flows equably without relation to anything external.
Vladimir Nabokov
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The present tendency of physics is toward describing the universe in terms of mathematical relations between unimaginable entities.
J. W. N. Sullivan
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Nature responds only to questions posed in mathematical language, because nature is the domain of measure and order.
Alexandre Koyré
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In mathematics, granted that we are giving any serious attention to mathematical ideas, the symbolism is invariably an immense simplification.
Alfred North Whitehead
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However much we may feel free, everything that we do is, according to Laplace, completely determined. Indeed the entire cosmos is reduced to a gigantic clockwork mechanism, with each component slavishly and unfailingly executing it preprogrammed instructions to mathematical precision. Such is the sweeping implication of Newtonian mechanics.
Paul Davies
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The concatenations of mathematical ideas are not divorced from life, far from it, but they are less influenced than other scientific ideas by accidents, and it is perhaps more possible, and more permissible, for a mathematician than for any other man to secrete himself in a tower of ivory.
George Sarton
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Symbolic Logic has been disowned by many logicians on the plea that its interest is mathematical, and by many mathematicians on the plea that its interest is logical.
Alfred North Whitehead
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Mathematical training is almost purely deductive. The mathematician starts with a few simple propositions, the proof of which is so obvious that they are called self-evident, and the rest of his work consists of subtle deductions from them.
Thomas Henry Huxley
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Laplace created a number of new mathematical methods that were subsequently expanded into branches of mathematics, but he never cared for mathematics except as it helped him to study nature.
Morris Kline
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The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.
John Allen Paulos
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