Mathematics Quotes
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Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning.
Felix Klein
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Perhaps the greatest paradox of all is that there are paradoxes in mathematics.
Edward Kasner
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[All phenomena] are equally susceptible of being calculated, and all that is necessary, to reduce the whole of nature to laws similar to those which Newton discovered with the aid of the calculus, is to have a sufficient number of observations and a mathematics that is complex enough.
Marquis de Condorcet
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You see, the chemists have a complicated way of counting: instead of saying "one, two, three, four, five protons", they say, "hydrogen, helium, lithium, beryllium, boron."
Richard Feynman
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I never use a computer.
Andrew Wiles
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The propositions of mathematics have, therefore, the same unquestionable certainty which is typical of such propositions as "All bachelors are unmarried," but they also share the complete lack of empirical content which is associated with that certainty: The propositions of mathematics are devoid of all factual content; they convey no information whatever on any empirical subject matter.
Carl Gustav Hempel
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I thought we should require physical determinations, and not abstract integrations. A pernicious taste begins to infiltrate, from which real science will suffer far more than it will progress, and it would be often better for the true physics if there were no mathematics in the world.
Daniel Bernoulli
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Today, it is not only that our kings do not know mathematics, but our philosophers do not know mathematics and - to go a step further - our mathematicians do not know mathematics.
J. Robert Oppenheimer
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There exists a passion for comprehension, just as there exists a passion for music. That passion is rather common in children, but gets lost in most people later on. Without this passion there would be neither mathematics nor natural science.
Albert Einstein
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As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.
Albert Einstein
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The subtleties of mathematics defecate the grossness of our apprehension, and supply the elements of a sounder and severer logic.
William Godwin
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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 fewtrustworthy postulates have yet been ascertained.
George Bernard Shaw
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Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus.
Abraham Robinson
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Only in mathematics and physics was I, through self-study, far beyond the school curriculum, and also with regard to philosophy as it was taught in the school curriculum.
Albert Einstein
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Mathematics is nothing more, nothing less, than the exact part of our thinking.
L. E. J. Brouwer
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In mathematics, our freedom lies in the questions we ask — and in how we pursue them — but not in the answers awaiting us.
Steven Strogatz