Mathematics Quotes
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My first contact with game theory was a popular article in 'Fortune Magazine' which I read in my last high school year. I was immediately attracted to the subject matter, and when I studied mathematics, I found the fundamental book by von Neumann and Morgenstern in the library and studied it.
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When, therefore, I had long considered this uncertainty of traditional mathematics, it began to weary me that no more definite explanation of the movement of the world-machine established in our behalf by the best and most systematic builder of all, existed among the philosophers who had studied so exactly in other respects the minutest details in regard to the sphere.
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Einstein and the Quantum is delightful to read, with numerous historical details that were new to me and cham1ing vignettes of Einstein and his colleagues. By avoiding mathematics, Stone makes his book accessible to general readers, but even physicists who are well versed in Einstein and his physics are likely to find new insights into the most remarkable mind of the modern era.
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Of Belief Human mathematics, so to speak, like the length of life, are subject to the doctrine of chances.
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Though the structures and patterns of mathematics reflect the structure of, and resonate in, the human mind every bit as much as do the structures and patterns of music, human beings have developed no mathematical equivalent to a pair of ears. Mathematics can only be "seen" with the "eyes of the mind". It is as if we had no sense of hearing, so that only someone able to sight read music would be able to appreciate its patterns and harmonies.
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If there be some who, though ignorant of all mathematics . . . dare to reprove this work, because of some passage of Scripture, which they have miserably warped to their purpose, I regard them not, and even despise their rash judgement.
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Though this be madness, yet there is method in't.
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Mathematics is the art of accurate reasoning on inaccurately-drawn figures... let that be our motto.
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The proof of Fermat's Last Theorem underscores how stable mathematics is through the centuries - how mathematics is one of humanity's long continuous conversations with itself.
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I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn about and gather together. Then there is a sort of inevitable development in those fields. You get to the point where a certain theorem is bound to be proved, independent of any particular individual, because it is just in the path of development.
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One can understand nature only when one has learned the language and the signs in which it speaks to us; but this language is mathematics and these signs are methematical figures.
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Mathematics is the language with which God has written the universe.
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It was as though applied mathematics was my spouse, and pure mathematics was my secret lover.
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Mathematics is universal. It's discovered by human beings, but the rules of mathematics are the same throughout the universe and the laws of the universe.
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I think that mathematics can benefit by acknowledging that the creation of good models is just as important as proving deep theorems.
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What would mathematics have amounted to without the imagination of its devotees-its giants and their followers? There never was a discovery made without the urge of imagination-of imagination which broke the roadway through the forest in order that cold logic might follow.
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Mathematics can remove no prejudices and soften no obduracy. It has no influence in sweetening the bitter strife of parties, and in the moral world generally its action is perfectly null.
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The object of mathematics is the honor of the human spirit.
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If you're concentrating so damn hard on a piece of mathematics or a musical - a piece of music or a piece of art, the restraint that holds the rest of - the rest of the world back off and vanishes in the rest of your life.
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Mathematics is often erroneously referred to as the science of common sense. Actually, it may transcend common sense and go beyond either imagination or intuition. It has become a very strange and perhaps frightening subject from the ordinary point of view, but anyone who penetrates into it will find a veritable fairyland, a fairyland which is strange, but makes sense, if not common sense.
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The manuscript looks chaotic, even by mathematics standards.
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It seems to me there's this grand mathematical world out there, and I am wandering through it and discovering fascinating phenomena that often totally suprise me. I do not think of mathemaatics as invented but rather discovered.
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We must always emphasize research and development of science and mathematics, and I can think of no better way to achieve this than through our future in space.
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I'm a biologist, so... Which I think should be mandatory. Biology should be mandatory. Mathematics? They say we don't know enough about math and science. Well we don't know enough about science and particularly biology, which is such a huge field.