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Mathematical Quotes

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If all consciousness is subject to essential laws in a manner similar to that in which spatial reality is subject to mathematical laws, then these essential laws will be of most fertile significance in investigating facts of the conscious life of human and brute animals  (Mathematical Quotes) In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely!  (Mathematical Quotes) Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it  (Mathematical Quotes) All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers  (Mathematical Quotes) The definition of a good mathematical problem is the mathematics it generates rather than the problem itself  (Mathematical Quotes) The tantalizing and compelling pursuit of mathematical problems offers mental absorption, peace of mind amid endless challenges, repose in activity, battle without conflict, refuge from the goading urgency of contingent happenings, and the sort of beauty changeless mountains present to senses tried by the present day kaleidoscope of events  (Mathematical Quotes) One cannot escape the feeling that these mathematical formulas have an independent existence and an intelligence of their own, that they are wiser than we are, wiser even than their discoverers  (Mathematical Quotes) The thing that got me started on the science that I’ve been building now for about 20 years or so was the question of okay, if mathematical equations can’t make progress in understanding complex phenomena in the natural world, how might we make progress?  (Mathematical Quotes) Besides a mathematical inclination, an exceptionally good mastery of one’s native tongue is the most vital asset of a competent programmer  (Mathematical Quotes) I also ask you my friends not to condemn me entirely to the mill of mathematical calculations, and allow me time for philosophical speculations, my only pleasures  (Mathematical Quotes) It is clear that economics, if it is to be a science at all, must be a mathematical science  (Mathematical Quotes) A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales  (Mathematical Quotes) If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics  (Mathematical Quotes) In terms of merit, sports has mathematical statistics. That’s how you know who the best player is  (Mathematical Quotes) Now what is history? It is the centuries of systematic explorations of the riddle of death, with a view to overcoming death. That’s why people discover mathematical infinity and electromagnetic waves, that’s why they write symphonies  (Mathematical Quotes) ... love and fear increase together with a precision almost mathematical: the greater the love is then the greater the fear is  (Mathematical Quotes) The best programs are written so that computing machines can perform them quickly and so that human beings can understand them clearly. A programmer is ideally an essayist who works with traditional aesthetic and literary forms as well as mathematical concepts, to communicate the way that an algorithm works and to convince a reader that the results will be correct  (Mathematical Quotes) Life is not so idiotically mathematical that only the big eat the small; it is just as common for a bee to kill a lion or at least to drive it mad  (Mathematical Quotes) I think it is a peculiarity of myself that I like to play about with equations, just looking for beautiful mathematical relations which maybe don’t have any physical meaning at all. Sometimes they do.At age 60  (Mathematical Quotes) One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigate the connections of a problem when looking back at its solution  (Mathematical Quotes) The miracle of man is not how far he has sunk but how magnificently he has risen. We are known among the stars by our poems, not our corpses. No creature who began as a mathematical improbability, who was selected through millions of years of unprecedented environmental hardship and change for ruggedness, ruthlessness, cunning, and adaptability, and who in the short ten thousand years of what we may call civilization has achieved such wonders as we find about us, may be regarded as a creature without promise  (Mathematical Quotes) I am well aware of the disagreeable effect produced on the majority of humanity, by whatever relates, even at the slightest degree to calculations or mathematical reasonings  (Mathematical Quotes) The fact that you are even here, alive, on this planet is a mathematical miracle, and you should not spend the time that you have being busy being miserable  (Mathematical Quotes) I swam the race like I trained to swim it. It is not mathematical. I just let my body do it. It is a lot easier if you let your body do what it is trained for  (Mathematical Quotes) We know the laws of trial and error, of large numbers and probabilities. We know that these laws are part of the mathematical and mechanical fabric of the universe, and that they are also at play in biological processes. But, in the name of the experimental method and out of our poor knowledge, are we really entitled to claim that everything happens by chance, to the exclusion of all other possibilities?  (Mathematical Quotes) It is a common observation that a science first begins to be exact when it is quantitatively treated. What are called the exact sciences are no others than the mathematical ones  (Mathematical Quotes) The essential fact is that all the pictures which science now draws of nature, and which alone seem capable of according with observational facts, are mathematical pictures  (Mathematical Quotes) If all sentient beings in the universe disappeared, there would remain a sense in which mathematical objects and theorems would continue to exist even though there would be no one around to write or talk about them. Huge prime numbers would continue to be prime, even if no one had proved them prime  (Mathematical Quotes) The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them  (Mathematical Quotes) A good deal of my research in physics has consisted in not setting out to solve some particular problem, but simply examining mathematical equations of a kind that physicists use and trying to fit them together in an interesting way, regardless of any application that the work may have. It is simply a search for pretty mathematics. It may turn out later to have an application. Then one has good luck. At age 78  (Mathematical Quotes)
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