164 quotes found
“Mathematics has always shown a curious ability to be applicable to nature, and this may express a deep link between our minds and nature. We are the Universe speaking out, a part of nature. So it i...”
“What is it, in fact, that we are supposed to abstract from, in order to get, for example, from the moon to the number 1? By abstraction we do indeed get certain concepts, viz. satellite of the Eart...”
“Mathematical knowledge is unlike any other knowledge. While our perception of the physical world can always be distorted, our perception of mathematical truths cant be. They are objective, persiste...”
“One thing the American defense establishment has traditionally understood very well is that countries don't win wars just by being braver than the other side, or freer, or slightly preferred by God...”
“The best mathematics is serious as well as beautifulimportant if you like, but the word is very ambiguous, and serious expresses what I mean much better”
“The seriousness of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects. We may say, rou...”
“It seems that mathematical ideas are arranged somehow in strata, the ideas in each stratum being linked by a complex of relations both among themselves and with those above and below. The lower the...”
“In these days of conflict between ancient and modern studies, there must surely be something to be said for a study which did not begin with Pythagoras, and will not end with Einstein, but is the o...”
“My dream is that all of us will be able to see, appreciate, and marvel at the magic beauty and exquisite harmony of these ideas, formulas, and equations, for this will give so much more meaning to ...”
“Mathematics ... is indispensable as an intellectual technique. In many subjects, to think at all is to think like a mathematician.”
“the theorem of incompleteness . . . [shows] there is nothing on this level of existence that can fully explain this level of existence.”
“THINK, and do not sacrifice yourself to mathematical magic.”
“Proofs are to mathematics what spelling (or even calligraphy) is to poetry. Mathematical works do consist of proofs, just as poems do consist of words.”
“What, after all, is mathematics but the poetry of the mind, and what is poetry but the mathematics of the heart?”
“Amusement if one of humankind's strongest motivational forces.”
“I was impressed by the delicate weaving of the numbers. No matter how carefully you unraveled a thread, a single moment of inattention could leave you stranded, with no clue what to do next. In all...”
“I only know that when I study mathematics, I transport myself to another world, a world of exquisite beauty and truth. And in that world I am the person I like to be.”
“numerical precision is the very soul of science, and its attainment affords the best, perhaps the only criterion of the truth of theories and the correctness of experiments.”
“Therefor I doubt not but, if it had been a thing contrary to any mans right of dominion, or to the interest of men that have dominion, that the three angles of a triangle should be equal to two ang...”
“ZERO and Infinity both are very difficult to understand and explain but at the same time both are key assumption of Mathematics...”
