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The idea here, of course, is, you know, mathematics is the language of science, it's the way that we understand the natural world. And there's definitely been a push to sort of study advanced math and kind of reawaken the love of advanced math.
For hundreds of pages the closely-reasoned arguments unroll, axioms and theorems interlock. And what remains with us in the end? A general sense that the world can be expressed in closely-reasoned arguments, in interlocking axioms and theorems.
I always approach logic without emotion. The math always equals the math. Regardless of whether I discovered the math before anyone else, or I just decided to accept it, I know what logically makes sense, and I'm going to speak on it every time.
History will remember the inhabitants of this century as the people who went from Kitty Hawk to the moon in 66 years, only to languish for the next 30 in low Earth orbit. At the core of the risk-free society is a self-indulgent failure of nerve.
If they had rankings in baseball, maybe I would have been able to do the math and figure out my chances of being a professional baseball player versus a tennis player. But that was the decision-maker for me, I just thought I was better in tennis.
I think I was born 'in to deep,' and bad things happen every day. Sometimes I have to stab hellions. Sometimes I have to frame friends for murder, and stab evil math teachers, and watch my best friend die. Again. We deal with it, then we move on.
We are so presumptuous that we should like to be known all over the world, even by people who will only come when we are no more. Such is our vanity that the good opinion of half a dozen of the people around us gives us pleasure and satisfaction.
I want to help middle-school girls stay interested in math and be good at it, and see it as friendly and accessible and not this scary thing. Everyone else in society tells them it's not for them. It's for nerdy white guys with pocket protectors.
... suddenly I was a kid in the hall standing outside my locker about to head to Math. But that was how it went sometimes, the English language, when you really needed it, crumbled to clay in your mouth. That's when all the real things were said.
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.
What distinguishes a mathematical model from, say, a poem, a song, a portrait or any other kind of "model," is that the mathematical model is an image or picture of reality painted with logical symbols instead of with words, sounds or watercolors.
I don't think anyone can accept us being 51st in the country dealing with fourth-grade math scores and reading scores in the fourth and sixth grades that are close to the bottom. That's not acceptable. It's not acceptable to the people of Alabama.
When I was growing up, I had lots of smart classmates that were girls, but none of us were really pushed into math or computers or anything like that. Girls took AP history and AP English and AP European history. And boys took calculus and physics.
In passing, I firmly believe that research should be offset by a certain amount of teaching, if only as a change from the agony of research. The trouble, however, I freely admit, is that in practice you get either no teaching, or else far too much.
In college, you had to worry about that math class or this exam that's coming up on Tuesday, but not in the professionals. You eat, sleep, and do everything related to your craft - and your craft is football. You can be at it from sunup to sundown.
I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind.
I have always had trouble paying attention. When I was supposed to be at work, I'd be doodling. But then when I was home, trying to draw, I would be working on math problems. I never end up doing exactly what I should be doing at at any given time.
I was trained as a fine artist. I went to a progressive public school in Pennsylvania that developed these talents, but I was never able to apply to a decent college because I had no math, no science - I was allowed to just paint all day and write.
I grew up with plenty of smart people. They would beat me at chess; they could solve brain teasers before I could, but then they would struggle in algebra. These were incredibly smart people who simply did not have the foundation in math that I had.
There's no doubt who was a leader in space after the Apollo Program. Nobody came close to us. And our education system, in science, technology, engineering and math, was at the top of the world. It's no longer there. We're descending rather rapidly.
My parents read me some typical children's books: 'Green Eggs and Ham,' 'The Little Engine That Could,' 'Peter Rabbit.' But I quickly developed a preference for nonfiction books about baseball and math, by the likes of Bill James and Martin Gardner.
I use minimal software to make my music - a wav editor and a calculator for my beats to make sure everything falls on mathematical precision. If you were just mapping this out visually, it works by math. I guess it's slightly engineering influenced.
I was never as focused in math, science, computer science, etcetera, as the people who were best at it. I wanted to create amazing screensavers that did beautiful visualizations of music. It's like, "Oh, I have to learn computer science to do that."
As processor speeds and shared processors create cheap unlimited processing power we will be able to turn our bodies into a math equation that can be crossed against the properties of medicine and nature to create medicine unique to each individual.
It was gonna be a race [2016] that set a foundation for the Left in the future. But given the math, I didn't think he was gonna make it. And so I started to shift to Hillary [Clinton] and to discussions of the platform and discussions of what to do.
Working is bad enough in the winter, but in the summer it can become completely intolerable. Stuck in airless offices, every fibre of our being seems to cry out for freedom. We're reminded of being stuck in double maths while the birds sing outside.
Commissions add up, taxes are a big drag, margin ain't cheap. A good accountant costs money as well. The math on this one is obvious, yet investors often fail to recognize it: Keep your costs low and your turnover lower, and you will win in the end.
It is a pleasant surprise to him (the pure mathematician) and an added problem if he finds that the arts can use his calculations, or that the senses can verify them, much as if a composer found that sailors could heave better when singing his songs.
I am a Leaper: a person who - thanks to some mathematical errors tied to the cosmic interactions of Earth and Sun and bad math on the part of some old timers long ago - is lost in time, born on a day that simply doesn't exist three out of four years.
The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.
I enjoyed mathematics from a very young age. At the beginning of college, I had this illusion, which was kind of silly in retrospect, that if I just understood math and physics and philosophy, I could figure out everything else from first principles.
My main concern with the condition of mathematics in high school is that there's a lot of fear involved! Math is not, generally speaking, presented in a fun way. The concepts, as I see them, are fun, and that's the way I'd like to convey them myself.
In high school, a teacher once suggested that I be a math major in college. I thought, 'Me? You've got to be joking!' I mean, in junior high, I used to come home and cry because I was so afraid of my math homework. Seriously, I was terrified of math.
A scientist worthy of a lab coat should be able to make original discoveries while wearing a clown suit, or give a lecture in a high squeaky voice from inhaling helium. It is written nowhere in the math of probability theory that one may have no fun.
Speaking of human computers, there is a guy named Art Benjamin, he's a human calculator. He says it's a skill he learned as a kid. Now he's a math professor at Harvey Mudd. He can find the square root of a six digit number in a few seconds. Practice.
School was rough for me. I was a good student in middle school, but high school wasn't so fun. I still pulled through, though! I excelled in art, fashion, history and English literature - anything creative. Math and science I struggled a bit more in.
Children need to get a high-quality education, avoid violence and the criminal-justice system, and gain jobs. But they deserve more. We want them to learn not only reading and math but fairness, caring, self-respect, family commitment, and civic duty.
Research and development needs permanent tax credits to build the technology that spurs our growth. But no government programs alone can get America's students to study more science and math parents must push and help their children to meet this goal.
I had been tracked from grades 1 through 12 in an accelerated program in the public school system in Memphis and had done well in math and science classes. When I was getting ready for college, my guidance counselors suggested I look into engineering.
Mathematics, in the common lay view, is a static discipline based on formulas...But outside the public view, mathematics continues to grow at a rapid rate...the guid to this growth is not calculation and formulas, but an open ended search for pattern.
When you ask your white friends what their cultural heritage is, they don't just say white. They give you a math equation. 'Well, I'm a third German and a fourth Irish and one-sixteenth Welsh and one-fortieth Native American for college applications.'
I concluded that I might take as a general rule the principle that all things which we very clearly and obviously conceive are true: only observing, however, that there is some difficulty in rightly determining the objects which we distinctly conceive.
Research and development needs permanent tax credits to build the technology that spurs our growth. But no government programs alone can get America's students to study more science and math; parents must push and help their children to meet this goal.
The things you're passionate about and interested in, get experience with them by going deep on projects. I would encourage science projects, plays. Pursue science, math, writing, history - the 21st century demands a lot of cross-disciplinary thinking.
There's a snobbery at work in architecture. The subject is too often treated as a fine art, delicately wrapped in mumbo-jumbo. In reality, it's an all-embracing discipline taking in science, art, maths, engineering, climate, nature, politics, economics.
The joy of suddenly learning a former secret and the joy of suddenly discovering a hitherto unknown truth are the same to me - both have the flash of enlightenment, the almost incredibly enhanced vision, and the ecstasy and euphoria of released tension.
What humans do with the language of mathematics is to describe patterns... To grow mathematically children must be exposed to a rich variety of patterns appropriate to their own lives through which they can see variety, regularity, and interconnections.
[Math is] not at all like science. There's no experiment I can do with test tubes and equipment and whatnot that will tell me the truth about a figment of my imagination. The only way to get at the truth about our imaginations is to use our imaginations.
I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect. . . Geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics.
Each generation has its few great mathematicians, and mathematics would not even notice the absence of the others. They are useful as teachers, and their research harms no one, but it is of no importance at all. A mathematician is great or he is nothing.