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Because the math is, if you - 5 percent of a million is a lot more than 5 percent of a thousand. So yeah, someone who makes more money, numerically, it's gonna be higher. But the greatest gains, percentage-wise, for people, are gonna be at the lower end of our plan.
Does anyone believe that the difference between the Lebesgue and Riemann integrals can have physical significance, and that whether say, an airplane would or would not fly could depend on this difference? If such were claimed, I should not care to fly in that plane.
A typical mathematician does not actively try to be useful. Individual mathematicians are motivated primarily by a subtle mixture of ambition and intellectual curiosity, and not by a wish to benefit society, nevertheless, mathematics as a whole does benefit society.
The study of infinity is much more than a dry academic game. The intellectual pursuit of the absolute infinity is, as Georg Cantor realized, a form of the soul's quest for God. Whether or not the goal is ever reached, an awareness of the process brings enlightenment.
What destroys more self-confidence than any other educational thing in America is being assigned to some remedial math when you get into some college, and then it's not taught very well and you end up with this sense of, 'Hey, I can't really figure those things out.'
Some advice: keep the flame of curiosity and wonderment alive, even when studying for boring exams. That is the well from which we scientists draw our nourishment and energy. And also, learn the math. Math is the language of nature, so we have to learn this language.
If some day you're struggling with math, and you think, 'I don't think I can do this,' you can - you actually can. Everybody has their hard days - I definitely had mine - and you get through them, and you learn from that stumble, and then you're onto the next problem.
Today, more than ever before, science holds the key to our survival as a planet and our security and prosperity as a nation. It's time we once again put science at the top of our agenda and work to restore America's place as the world leader in science and technology.
Indeed, there is something to be said for the old math when taught by a poorly trained teacher. He can, at least, get across the fundamental rules of calculation without too much confusion. The same teacher trying to teach new math is apt to get across nothing at all.
I love the psychology versus math and logic. In algebra, "X" means any possible variable. I sort of think about "X" in terms of the equation of my own life. Adding "X" to my own life has given me a freedom that I didn't have before in the equation of my own existence.
I grew up being that kid backstage doing my math homework and my father made sure I knew from everybody in the cast to the lighting people and to respect everyone in the theater and all the way down to the janitor. It's a part of my childhood. It's what I know really.
The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used, but these have no more real bearing on the matter than those employed in genealogical tables have in explaining the laws of procreation.
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.
I don't know anything about making movies. I'd never been on a film set. I'm really kind of an idiot when it comes to figuring out where objects are in space. If they're both moving, I can't do the math. If you ever see me driving down a road, go somewhere else quickly.
I read in the proof sheets of Hardy on Ramanujan: "As someone said, each of the positive integers was one of his personal friends." My reaction was, "I wonder who said that; I wish I had." In the next proof-sheets I read (what now stands), "It was Littlewood who said..."
I'm always interested in understanding the math of things and understanding as much as I can about all aspects of business. And what I learn today may be useful to me two years from now. That's really the wonderful thing about investments is your knowledge is cumulative.
Logic leaves us no choice. In that sense, math always involves both invention and discovery: we invent the concepts but discover their consequences. … in mathematics our freedom lies in the questions we ask – and in how we pursue them – but not in the answers awaiting us.
We spend so much of our lives doing math problems on how to feel good. It's such a waste of time. You're going to feel how you feel. It's hard to just set up a way that you're going to live your life that is going to be just endlessly happy and healthy. That's impossible.
I failed math twice, never fully grasping probability theory. I mean, first off, who cares if you pick a black ball or a white ball out of the bag? And second, if you’re bent over about the color, don’t leave it to chance. Look in the damn bag and pick the color you want.
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.
I engage in the use of game theory. Game theory is a branch of mathematics, and that means, sorry, that even in the study of politics, math has come into the picture. We can no longer pretend that we just speculate about politics; we need to look at this in a rigorous way.
Widening the talent pipeline sufficiently will require a generational commitment to teaching math and science, providing technical training, and mentoring young people of all backgrounds so they understand the full range of possibilities that a career in technology affords.
I had done quite a bit of research about math education when I spoke before Congress in 2000 about the importance of women in mathematics. The session of Congress was all about raising more scholarships for girls in college. I told them I felt that it's too late by college.
My sister was brilliant: she was in the 25 top math students in the country. When she finished college, I said, 'Spend a couple of months here in Europe. You'll get another take on life.' She never came - married some schmuck who made clothes for fat women on Seventh Avenue.
If we evolved a race of Isaac Newtons, that would not be progress. For the price Newton had to pay for being a supreme intellect was that he was incapable of friendship, love, fatherhood, and many other desirable things. As a man he was a failure; as a monster he was superb.
I love to write. I used to be a math teacher. And I like the idea that other people could write about the same subjects, but no one would write it just the way I do. It's very individual: a child could write the same story as somebody else, but it wouldn't come out the same.
How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.
When I cook with my son, I might chop vegetables and have fun with different shapes. Cooking is a way to teach kids about other things, like reading or math with all of the weights and measures. There are so many things that are part of cooking that are also very educational.
I'm not a plumber who accidentally blew up or a math professor who accidentally backed into notoriety. I have a master's from Yale drama, and I auditioned for this. So obviously I want to be in the limelight in some capacity, or I want to be in entertainment in some capacity.
As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas from other contexts, so as to develop a sense of the structure, not just familiarity with a particular tour through the structure.
I have often noticed that when people come to understand a mathematical proposition in some other way than that of the ordinary demonstration, they promptly say, "Oh, I see. That's how it must be." This is a sign that they explain it to themselves from within their own system.
I was always a very good student, 3.98 GPA... But once I found out I only had to take math and science for two years, I didn't take them junior or senior year. And I convinced my high school to give me actual credits for doing professional shows in Minneapolis... as work-study.
I'll always write about what's going on in my life and the reason for that is it's not actually because I'm so fascinated with myself, it's because I can't think. I can't think like have thoughts in my head and think them through and come to a conclusion. It's like math for me.
People think that the arts are optional and they aren't. They teach a level of emotional depth that's equally important to mathematic skill. You can replace some math skills with a calculator if you know how to operate the thing, but there's no calculator for human interaction.
Upon the whole, I am inclined to think that the far greater part, if not all, of those difficulties which have hitherto amused philosophers, and blocked up the way to knowledge, are entirely owing to our selves. That we have first raised a dust, and then complain, we cannot see.
I think math is a hugely creative field, because there are some very well-defined operations that you have to work within. You are, in a sense, straightjacketed by the rules of the mathematics. But within that constrained environment, it's up to you what you do with the symbols.
School, I never truly got the knack of. I could never focus on things I didn't want to learn. Math is just the worst. To this day, I can't concentrate on it. People always say, 'You should have tried harder.' But actually, I cheated a lot because I could not sit and do homework.
One is hard pressed to think of universal customs that man has successfully established on earth. There is one, however, of which he can boast the universal adoption of the Hindu-Arabic numerals to record numbers. In this we perhaps have man's unique worldwide victory of an idea.
See skulking Truth to her old cavern fled, Mountains of Casuistry heap'd o'er her head! Philosophy, that lean'd on Heav'n before, Shrinks to her second cause, and is no more. Physic of Metaphysic begs defence, And Metaphysic calls for aid on Sense! See Mystery to Mathematics fly!
I think there are dozens or hundreds of different forms of creativity. Pondering science and math problems for years is different from improvising jazz. Something which seems to me remarkable is how unconscious the creative process is. You encounter a problem, but can't solve it.
I went to college for, like, a year and a half with the intention of doing some kind of art therapy or some kind of teaching of art, because I feel like art is a more free area in school than music is. I feel like music is too mathematic for me. Music school's so hard. It's math.
We lay down a fundamental principle of generalization by abstraction: The existence of analogies between central features of various theories implies the existence of a general theory which underlies the particular theories and unifies them with respect to those central features.
It has been pointed out already that no knowledge of probabilities, less in degree than certainty, helps us to know what conclusions are true, and that there is no direct relation between the truth of a proposition and its probability. Probability begins and ends with probability.
Many teachers are concerned about the amount of material they must cover in a course. One cynic suggested a formula: since, he said, students on the average remember only about 40% of what you tell them, the thing to do is to cram into each course 250% of what you hope will stick.
Finally, two days ago, I succeeded - not on account of my hard efforts, but by the grace of the Lord. Like a sudden flash of lightning, the riddle was solved. I am unable to say what was the conducting thread that connected what I previously knew with what made my success possible.
When you think of technological revolution, you probably think of geeks in cool coastal spaces like the Google campus, or perhaps of math wizards on Wall Street. But one source of rural prosperity is the adoption of radical new technologies - and a consequent surge in productivity.
I was working at Kentucky Fried Chicken when my math teacher said, "You're failing in school, you're messing up, why don't you just try this?" I said, "Alright, let me try it," and I started going to acting classes and I loved it. I thought, "I may not make it but I love doing it."
Now that practical skills have developed enough to provide adequately for material needs, one of these sciences which are not devoted to utilitarian ends [mathematics] has been able to arise in Egypt, the priestly caste there having the leisure necessary for disinterested research.
The Tour (de France) is essentially a math problem, a 2,000-mile race over three weeks that's sometimes won by a margin of a minute or less. How do you propel yourself through space on a bicycle, sometimes steeply uphill, at a speed sustainable for three weeks? Every second counts.
The math works. Over the course of a season, there's some predictability to baseball. When you play 162 games, you eliminate a lot of random outcomes. There's so much data that you can predict: individual players' performances and also the odds that certain strategies will pay off.