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runlai_jiang

8 Infinity Facts That Will Blow Your Mind - 0 views

  • Infinity has its own special symbol: ∞. The symbol, sometimes called the lemniscate, was introduced by clergyman and mathematician John Wallis in 1655. The word "lemniscate" comes from the Latin word lemniscus, which means "ribbon," while the word "infinity" comes from the Latin word infinitas, which means "boundless."
  • Of all Zeno's paradoxes, the most famous is his paradox of the Tortoise and Achilles. In the paradox, a tortoise challenges the Greek hero Achilles to a race, providing the tortoise is given a small head start. The tortoise argues he will win the race because as Achilles catches up to him, the tortoise will have gone a bit further, adding to the distance.
  • Pi as an Example of Infinity Pi is a number consisting of an infinite number of digits. Jeffrey Coolidge / Getty Images Another good example of infinity is the number π or pi. Mathematicians use a symbol for pi because it's impossible to write the number down. Pi consists of an infinite number of digits. It's often rounded to 3.14 or even 3.14159, yet no matter how many digits you write, it's impossible to get to the end.
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  • Fractals and Infinity A fractal may be magnified over and over, to infinity, always revealing more detail. PhotoviewPlus / Getty Images A fractal is an abstract mathematical object, used in art and to simulate natural phenomena. Written as a mathematical equation, most fractals are nowhere differentiable. When viewing an image of a fractal, this means you could zoom in and see new detail. In other words, a fractal is infinitely magnifiable.The Koch snowflake is an interesting example of a fractal. The snowflake starts as an equilateral triangle. For each iteration of the fractal:Each line segment is divided into three equal segments.
  • Cosmology and Infinity Even if the universe is finite, it might be one of an infinite number of "bubbles.". Detlev van Ravenswaay / Getty Images Cosmologists study the universe and ponder infinity. Does space go on and on without end? This remains an open question. Even if the physical universe as we know it has a boundary, there is still the multiverse theory to consider. Our universe may be but one in an infinite number of them.
Emily Horwitz

Nature Has A Formula That Tells Us When It's Time To Die : Krulwich Wonders... : NPR - 1 views

  • Every living thing is a pulse. We quicken, then we fade. There is a deep beauty in this, but deeper down, inside every plant, every leaf, inside every living thing (us included) sits a secret.
  • Everything alive will eventually die, we know that, but now we can read the pattern and see death coming. We have recently learned its logic, which "You can put into mathematics," says physicist Geoffrey West. It shows up with "extraordinary regularity," not just in plants, but in all animals, from slugs to giraffes. Death, it seems, is intimately related to size.
  • Life is short for small creatures, longer in big ones.
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  • A 2007 paper checked 700 different kinds of plants, and almost every time they applied the formula, it correctly predicted lifespan. "This is universal. It cuts across the design of organisms," West says. "It applies to me, all mammals, and the trees sitting out there, even though we're completely different designs."
  • The formula is a simple quarter-power exercise: You take the mass of a plant or an animal, and its metabolic rate is equal to its mass taken to the three-fourths power.
  • It's hard to believe that creatures as different as jellyfish and cheetahs, daisies and bats, are governed by the same mathematical logic, but size seems to predict lifespan.
  • It tells animals for example, that there's a universal limit to life, that though they come in different sizes, they have roughly a billion and a half heart beats; elephant hearts beat slowly, hummingbird hearts beat fast, but when your count is up, you are over.
  • In any big creature, animal or plant, there are so many more pathways, moving parts, so much more work to do, the big guys could wear out very quickly. So Geoffrey West and his colleagues found that nature gives larger creatures a gift: more efficient cells. Literally.
Javier E

Love People, Not Pleasure - NYTimes.com - 0 views

  • Fame, riches and pleasure beyond imagination. Sound great? He went on to write:“I have diligently numbered the days of pure and genuine happiness which have fallen to my lot: They amount to 14.”Abd al-Rahman’s problem wasn’t happiness, as he believed — it was unhappiness
  • Happiness and unhappiness are certainly related, but they are not actually opposites.
  • Circumstances are certainly important. No doubt Abd al-Rahman could point to a few in his life. But paradoxically, a better explanation for his unhappiness may have been his own search for well-being. And the same might go for you.Continue reading the main story
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  • As strange as it seems, being happier than average does not mean that one can’t also be unhappier than average.
  • In 2009, researchers from the University of Rochester conducted a study tracking the success of 147 recent graduates in reaching their stated goals after graduation. Some had “intrinsic” goals, such as deep, enduring relationships. Others had “extrinsic” goals, such as achieving reputation or fame. The scholars found that intrinsic goals were associated with happier lives. But the people who pursued extrinsic goals experienced more negative emotions, such as shame and fear. They even suffered more physical maladies.
  • the paradox of fame. Just like drugs and alcohol, once you become addicted, you can’t live without it. But you can’t live with it, either.
  • That impulse to fame by everyday people has generated some astonishing innovations.
  • Today, each of us can build a personal little fan base, thanks to Facebook, YouTube, Twitter and the like. We can broadcast the details of our lives to friends and strangers in an astonishingly efficient way. That’s good for staying in touch with friends, but it also puts a minor form of fame-seeking within each person’s reach. And several studies show that it can make us unhappy.
  • It makes sense. What do you post to Facebook? Pictures of yourself yelling at your kids, or having a hard time at work? No, you post smiling photos of a hiking trip with friends. You build a fake life — or at least an incomplete one — and share it. Furthermore, you consume almost exclusively the fake lives of your social media “friends.” Unless you are extraordinarily self-aware, how could it not make you feel worse to spend part of your time pretending to be happier than you are, and the other part of your time seeing how much happier others seem to be than you?Continue reading the main story
  • the bulk of the studies point toward the same important conclusion: People who rate materialistic goals like wealth as top personal priorities are significantly likelier to be more anxious, more depressed and more frequent drug users, and even to have more physical ailments than those who set their sights on more intrinsic values.
  • as the Dalai Lama pithily suggests, it is better to want what you have than to have what you want.
  • In 2004, two economists looked into whether more sexual variety led to greater well-being. They looked at data from about 16,000 adult Americans who were asked confidentially how many sex partners they had had in the preceding year, and about their happiness. Across men and women alike, the data show that the optimal number of partners is one.
  • This might seem totally counterintuitive. After all, we are unambiguously driven to accumulate material goods, to seek fame, to look for pleasure. How can it be that these very things can give us unhappiness instead of happiness? There are two explanations, one biological and the other philosophical.
  • From an evolutionary perspective, it makes sense that we are wired to seek fame, wealth and sexual variety. These things make us more likely to pass on our DNA.
  • here’s where the evolutionary cables have crossed: We assume that things we are attracted to will relieve our suffering and raise our happiness.
  • that is Mother Nature’s cruel hoax. She doesn’t really care either way whether you are unhappy — she just wants you to want to pass on your genetic material. If you conflate intergenerational survival with well-being, that’s your problem, not nature’s.
  • More philosophically, the problem stems from dissatisfaction — the sense that nothing has full flavor, and we want more. We can’t quite pin down what it is that we seek. Without a great deal of reflection and spiritual hard work, the likely candidates seem to be material things, physical pleasures or favor among friends and strangers.
  • We look for these things to fill an inner emptiness. They may bring a brief satisfaction, but it never lasts, and it is never enough. And so we crave more.
  • This search for fame, the lust for material things and the objectification of others — that is, the cycle of grasping and craving — follows a formula that is elegant, simple and deadly:Love things, use people.
  • This was Abd al-Rahman’s formula as he sleepwalked through life. It is the worldly snake oil peddled by the culture makers from Hollywood to Madison Avenue.
  • Simply invert the deadly formula and render it virtuous:Love people, use things.
  • It requires the courage to repudiate pride and the strength to love others — family, friends, colleagues, acquaintances, God and even strangers and enemies. Only deny love to things that actually are objects. The practice that achieves this is charity. Few things are as liberating as giving away to others that which we hold dear.
  • This also requires a condemnation of materialism.
  • Finally, it requires a deep skepticism of our own basic desires. Of course you are driven to seek admiration, splendor and physical license.
  • Declaring war on these destructive impulses is not about asceticism or Puritanism. It is about being a prudent person who seeks to avoid unnecessary suffering.
pier-paolo

Opinion | The War on Logic - The New York Times - 0 views

  • We are, I believe, witnessing something new in American politics. Last year, looking at claims that we can cut taxes, avoid cuts to any popular program and still balance the budget, I observed that Republicans seemed to have lost interest in the war on terror and shifted focus to the war on arithmetic. But now the G.O.P. has moved on to an even bigger project: the war on logic.
  • First of all, says the analysis, the true cost of reform includes the cost of the “doc fix.”
  • in 1997 Congress enacted a formula to determine Medicare payments to physicians. The formula was, however, flawed; it would lead to payments so low that doctors would stop accepting Medicare patients. Instead of changing the formula, however, Congress has consistently enacted one-year fixes.
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  • And Republicans claim that the estimated cost of future fixes, $208 billion over the next 10 years, should be considered a cost of health care reform.But the same spending would still be necessary if we were to undo reform. So the G.O.P. argument here is exactly like claiming that my mortgage payments, which I’ll have to make no matter what we do tonight, are a cost of going out for dinner.
  • So, is the Republican leadership unable to see through childish logical fallacies? No. The key to understanding the G.O.P. analysis of health reform is that the party’s leaders are not, in fact, opposed to reform because they believe it will increase the deficit
  • All they ever needed or wanted were some numbers and charts to wave at the press, fooling some people into believing that we’re having some kind of rational discussion. We aren’t.
tongoscar

Beijing's governing formula may be the same but Hong Kong can never be like Macau | Sou... - 0 views

  • During my recent business trip to New York, what struck me was the unprecedented interest in the latest news from Hong Kong among many of my American friends.
  • Beijing has been understandably upset over the appearance of American flags at protests in the city, furious at local politicians going all the way to Washington to lobby support for the anti-government movement,
  • Former Chinese commerce minister Chen Deming, while attending this paper’s China Conference in New York last week, confirmed that Beijing did not want the trade talks to be affected by Hong Kong, but added that no agreement would change the new normal of bumpy bilateral relations, at least for the foreseeable future.
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  • Also, Hong Kong, having enjoyed decades of special ties with the United States, and now rocked by more than half a year of massive social unrest with still no easy solution in sight, is likely to be haunted by the ups and downs of China-US relations.
  • Firstly, Beijing has regularly reminded Hong Kong to take neighbouring Macau as a good reference, in particular for plugging national security loopholes. Only that Hong Kong can never be like Macau for reasons going beyond the fact that both cities are governed by the same, unique “one country, two systems” formula.
  • The complex situation this city finds itself in requires some real leadership that can take Hong Kong out of troubled waters. Beijing should better acknowledge such sentiment among Hongkongers.
Lindsay Lyon

Largest Prime Discovered | Mathematics | LiveScience - 0 views

  • The largest prime number yet has been discovered — and it's 17,425,170 digits long. The new prime number crushes the last one discovered in 2008, which was a paltry 12,978,189 digits long.
  • The number — 2 raised to the 57,885,161 power minus 1 — was discovered by University of Central Missouri mathematician Curtis Cooper as part of a giant network of volunteer computers
  • "It's analogous to climbing Mt. Everest," said George Woltman, the retired, Orlando, Fla.-based computer scientist who created GIMPS. "People enjoy it for the challenge of the discovery of finding something that's never been known before."
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  • the number is the 48th example of a rare class of primes called Mersenne Primes. Mersenne primes take the form of 2 raised to the power of a prime number minus 1. Since they were first described by French monk Marin Mersenne 350 years ago, only 48 of these elusive numbers have been found, including the most recent discovery. [The Most Massive Numbers in the Universe]
  • mathematicians have devised a much cleverer strategy, that dramatically reduces the time to find primes. That method uses a formula to check much fewer numbers.
  • mber is the 48th example of a rare class of primes called Mersenne Primes. Mersenne primes take the form of 2 raised to the power of a prime number minus 1. Since they were first described by French monk Marin Mersenne 350 years ago, only 48 of these elusive numbers have been found
  • the 48th example of a rare class of primes called Mersenne Primes. Mersenne primes take the form of 2 raised to the power of a prime number minus 1
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    An interesting article that reminded me of the discussions we had last year on whether math was invented or discovered. With regard to prime numbers, could we ever stop finding "new" ones? Can we ever find a formula to pinpoint every single prime number without dividing it by other numbers?
Javier E

Read this if you want to be happy in 2014 - The Washington Post - 2 views

  • people usually experience the sensation of happiness whenever they have both health and freedom. It’s a simple formula: Happiness = Health + Freedom
  • I’m talking about the everyday freedom of being able to do what you want when you want to do it, at work and elsewhere. For happiness, timing is as important as the thing you’re doing
  • Matching your mood to your activity is a baseline requirement for happiness
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  • The good news is that timing is relatively controllable, especially in the long run.
  • If you’re just starting out in your career, it won’t be easy to find a job that gives you a flexible schedule. The best approach is a strategy of moving toward more flexibility over the course of your life.
  • There isn’t one formula for finding schedule flexibility. Just make sure all of your important decisions are consistent with an end game of a more flexible schedule. Otherwise you are shutting yourself off from the most accessible lever for happiness — timing.
  • if you knew that pasta is far lower on the glycemic index than a white potato, you would make a far healthier choice that requires no willpower at all. All it took was knowledge.
  • The most important thing to know about staying fit is this: If it takes willpower, you’re doing it wrong. Anything that requires willpower is unsustainable in the long run.
  • studies show that using willpower in one area diminishes how much willpower you have in reserve for other areas. You need to get willpower out of the system
  • My observation is that you can usually replace willpower with knowledge.
  • the trick for avoiding unhealthy foods is to make sure you always have access to healthy options that you enjoy eating. Your knowledge of this trick, assuming you use it, makes willpower far less necessary.
  • don’t give up too much income potential just to get a flexible schedule. There’s no point in having a flexible schedule if you can’t afford to do anything.
  • the fittest people have systems, not goals, unless they are training for something specific. A sensible system is to continuously learn more about the science of diet and the methods for making healthy food taste great. With that system, weight management will feel automatic. Goals aren’t needed.
  • Did you know that sleepiness causes you to feel hungry?
  • Did you know that eating peanuts is a great way to suppress appetite?
  • Did you know that eating mostly protein instead of simple carbs for lunch will help you avoid the afternoon energy slump?
  • Did you know that eating simple carbs can make you hungrier?
  • Did you know that exercise has only a small impact on your weight?
  • after I started noticing how drained and useless I felt after eating simple carbs, french fries became easy to resist.
  • I also learned that I can remove problem foods from my diet if I target them for extinction one at a time. It was easy to stop eating three large Snickers every day (which I was doing) when I realized I could eat anything else I wanted whenever I wanted
  • If you’re on a diet, you’re probably trying to avoid certain types of food, but you’re also trying to limit your portions. Instead of waging war on two fronts, try allowing yourself to eat as much as you want of anything that is healthy.
  • healthier food is almost self-regulating in the sense that you don’t have an insatiable desire to keep eating it the way you might with junk food. With healthy food, you tend to stop when you feel full
  • One of the biggest obstacles to healthy eating is the impression that healthy food generally tastes like cardboard. So consider making it a lifelong system to learn how to season and prepare healthy foods
  • Cheese adds calories, but the fat content will help suppress your appetite, so you probably come out ahead. If you didn’t already know that, you might end up using willpower to avoid cheese at dinner and willpower again later that night to resist snacking. A little knowledge replaces a lot of willpower.
  • ’m limiting my portion size. You only need to do that if you are eating the wrong foods. Eating half of your cake still keeps you addicted to cake. And portion control takes a lot of willpower. You’ll find that healthy food satisfies you sooner, so you don’t crave large portions.
  • No one can exercise enough to overcome a bad diet. Diet is the right button to push for losing weight, so long as you are active. People who eat right and stay active usually have no problems with weight.
  • I’m about to share with you the simplest and potentially most effective exercise plan in the world. Here it is: Be active every day.
  • When you’re active, and you don’t overdo it, you’ll find yourself in a good mood afterward. That reward becomes addictive over time.
  • After a few months of being moderately active every day, you’ll discover that it is harder to sit and do nothing than it is to get up and do something. That’s the frame of mind you want. You want exercise to become a habit with a reward so it evolves into a useful addiction
  • the intensity of your workout has a surprisingly small impact on your weight unless you’re running half-marathons every week. If your diet is right, moderate exercise is all you need.
  • When your body is feeling good, and you have some flexibility in your schedule, you’ll find that the petty annoyances that plague your life become nothing but background noise. And that’s a great launch pad for happiness.
  • As you find yourself getting healthier and happier, the people in your life will view you differently too. Healthy-looking people generally earn more money, get more offers and enjoy a better social life. All of that will help your happiness.
  • Keep in mind that happiness is a directional phenomenon. We feel happy when things are moving in the right direction no matter where we are at the moment.
Javier E

The dramatic implosion of 'I Kissed Dating Goodbye' is a lesson - and a warning - The W... - 0 views

  • Highlight
  • Highlight
  • In essence, “I Kissed Dating Goodbye” and its (inevitable, if you think about it) fall represent a mind-set prominent in evangelical culture, but also in American society more broadly.
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  • We insist that meritocracy works and combine it with a valorization of hard work (which itself stems from our country’s majority-Protestant roots). To maintain the story that success is accessible to all, we’ve developed a tendency to seek out and elevate simplistic formulas that we hope come with guarantees. Stay pure until marriage, and your marriage will flourish. Follow the “success sequence,” and you’ll never be poor. Go to the right school, and all career doors will open. Elect the right candidate, and America will be great once more.
Javier E

This Is Your Brain on Gluten - The Atlantic - 0 views

  • that’s how you get on the bestseller list. You promise the moon and stars, you say everything you heard before was wrong, and you blame everything on one thing. You get a scapegoat; it’s classic. Atkins made a fortune with that formula. We’ve got Rob Lustig saying it’s all fructose; we’ve got T. Colin Campbell [author of The China Study, a formerly bestselling book] saying it’s all animal food; we now have Perlmutter saying it’s all grain. There’s either a scapegoat or a silver bullet in almost every bestselling diet book.”
  • The recurring formula is apparent: Tell readers it’s not their fault. Blame an agency; typically the pharmaceutical industry or U.S. government, but also possibly the medical establishment. Alluding to the conspiracy vaguely will suffice. Offer a simple solution. Cite science and mainstream research when applicable; demonize it when it is not.
  • “It makes me sad that somebody like you is going to reach out to me, so you can get what I’d like to think are sensible comments about a silly book. If you write a sensible book, which I did—it’s called Disease Proof , and it’s about what it really takes to be healthy, brain and body—nobody wants to talk about that. It has much less sex appeal. The whole thing is sad.
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  • “Is there a weight of evidence that says we can totally ignore both dietary cholesterol and LDL? Absolutely not,” he said. “You can legitimately say we’re starting to rethink some things, but ignoring LDL could absolutely result in heart attacks and strokes.
  • The medical community’s understanding of the danger of cholesterol is changing. Many cardiologists are starting to think that independent of other considerations, the level of LDL in our blood may not be as important as it previously seemed.
  • In November, the American Heart Association and the American College of Cardiology released new guidelines that redefined the use of statins. While they continue to recommend that people at high risk for heart disease and people with LDL levels above 189 take a statin, the long-standing goal of lowering one’s LDL level to 70 is no longer deemed worthwhile to monitor.
  • Katz acknowledges that dietary cholesterol may be an innocuous part of an overall healthy diet. “The problem is that people are going to get their dietary cholesterol from things other than fish and eggs; they’re going to get it from meats and dairies. The problem with diets like that is if you eat more of A, you’re probably going to eat less of B. So people who are eating more meat and dairy and high-fat, high-cholesterol foods are eating fewer plants—they’re not eating beans; they’re not eating lentils. So yes, I think it’s entirely confabulated and contrived, and potentially dangerous on the level of lethal.”
  • Having talked to all of these people and read their work, here is how I walk away from this. Oxidative stress will increasingly be the target of medical treatments and preventive diets. We’ll hear more about the role of blood sugar in Alzheimer’s and continue to focus on moderating intake of refined carbohydrates. The consensus remains that too much LDL is bad for you. We do not have reason to believe that gluten is bad for most people. It does cause reactive symptoms in some people. Peanuts can kill some people, but that does not mean they are bad for everyone
  • I agree with Katz that the diets consistently shown to have good long-term health outcomes—both mental and physical—include whole grains and fruits, and are not nearly as high in fat as what Perlmutter proposes.
ilanaprincilus06

Weatherwatch: the popularity of the old-fashioned forecaster | US news | The Guardian - 0 views

  • In the US, the sport of long-range weather prediction is dominated by two annual publications, the Farmer’s Almanac (founded in 1818) and the rival Old Farmer’s Almanac (1792).
  • Many interacting forces make for unpredictable outcomes, so they express their forecasts in broad probabilities.
  • The founders of the two almanacs developed their own systems from beliefs that were fashionable at the time, but are no longer scientifically accepted.
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  • Old Farmer’s Almanac predictions are based on solar activity and prevailing weather
  • newer rivals have a formula combining solar and lunar activity and the movements of the planets.
  • Whatever happens, it is likely that successes will be remembered and failures ignored.
  • This human tendency, known as confirmation bias, may do more to keep almanacs in business than the reliability of their secret formulae.
Javier E

Kenneth Rogoff, Carmen Reinhart and the World Excel Error Research | New Republic - 0 views

  • "This type of stuff probably happens all the time. What's unusual here is that someone checked it," says Ray Panko, a professor at the University of Hawaii and the elder statesman of small coterie of research academics who study—yes—Excel errors. Panko's meta-analysis of several such studies, he claims, indicates that 84 percent of spreadsheets contain some kind of materially significant error.
  • There are ample anecdotes to support Panko and Powell's claims
  •  In 2012, JP Morgan discovered that it had been grossly miscalculating a risk-management measure—possibly for years—due to a mischievous Excel formula.
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  • Last summer, Olympics ticketholders were baffled when the London 2012 Olympic Games committee oversold the synchronized swimming event by thousands of tickets--a hapless clerk had entered "20,000" instead of "10,000" in a spreadsheet cell.
  • A year prior, the town of Framingham, Massachusetts, announced that it would request $600,000 in state aid to cover a budget shortfall caused by miscalculating "monstrous spreadsheets.
julia rhodes

Dictators in the Age of Instagram : The New Yorker - 1 views

  • “So, you want to be a dictator?”
  • Too bad you’re living in this century. “It is tougher to lead an authoritarian regime in the face of democratic ideals, free speech and globalized media.
  • Snyderwine puts forth complex mathematical formulas that show a dictator how to stay in power with cost-benefit analyses of revolutions that take into account factors like bribes and the number of active revolutionaries killed.
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  • “The Dictator’s Practical Internet Guide to Power Retention,” is a compilation of tips, gleaned from the experiences of leaders in China, Singapore, Russia, Iran, Pakistan, and other countries, that illustrate just how brutal the modern, connected world can be for a tyrant.
  • Recep Tayyip Erdoğan, recently said that “this thing called social media is a curse on societies.”
  • n Syria, President Bashar al-Assad has proved canny online. Blackouts have shut down the Internet at various moments in the past two years
  • The state news agency blamed one blackout, in May, on “a malfunctioning fibre-optic cable,” but it was not lost on many that it was timed near a vote on a U.N. resolution on Syria.
  • Does it matter if this is a kind of misinformation? What does a social-media company do when a user known to be attacking civilians is blasting out feel-good content?
  • But she explained that, generally speaking, if a user created content that promoted violence, Instagram would remove it and possibly disable the user. Schumer stressed the importance of the context of the image in making those calls—a caption might make an image threatening, for instance—but also said that “context” is generally limited to content on the site.
  • And yet, even within that complex framework, what does it mean to follow a man strongly suggested to be a war criminal, to have a virtual shrine to a dictators’ glory that can fit in our pockets?
Javier E

How to Fall in Love With Math - NYTimes.com - 3 views

  • EACH time I hear someone say, “Do the math,” I grit my teeth.
  • Imagine, if you will, using, “Do the lit” as an exhortation to spell correctly.
  • my field is really about ideas above anything else. Ideas that inform our existence, that permeate our universe and beyond, that can surprise and enthrall.
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  • Think of it this way: you can appreciate art without acquiring the ability to paint, or enjoy a symphony without being able to read music. Math also deserves to be enjoyed for its own sake, without being constantly subjected to the question, “When will I use this?”
  • In schools, as I’ve heard several teachers lament, the opportunity to immerse students in interesting mathematical ideas is usually jettisoned to make more time for testing and arithmetic drills.
  • Keith Devlin argues in his book “The Math Gene,” human beings are wired for mathematics. At some level, perhaps we all crave it.
  • So what math ideas can be appreciated without calculation or formulas? One candidate that I’ve found intrigues people is the origin of numbers. Think of it as a magic trick: harnessing emptiness to create the number zero, then demonstrating how from any whole number, one can create its successor.
qkirkpatrick

Why Math Works - Scientific American - 1 views

  • Most of us take it for granted that math works—that scientists can devise formulas to describe subatomic events or that engineers can calculate paths for space­craft.
  • As a working theoretical astrophysicist, I encounter the seemingly “unreasonable effectiveness of math­ematics,” as Nobel laureate physicist Eugene Wigner called it in 1960, in every step of my job.
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    Is math invented or discovered
Javier E

Creativity Becomes an Academic Discipline - NYTimes.com - 0 views

  • Once considered the product of genius or divine inspiration, creativity — the ability to spot problems and devise smart solutions — is being recast as a prized and teachable skill.
  • “The reality is that to survive in a fast-changing world you need to be creative,”
  • “That is why you are seeing more attention to creativity at universities,” he says. “The marketplace is demanding it.”
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  • Creativity moves beyond mere synthesis and evaluation and is, he says, “the higher order skill.” This has not been a sudden development. Nearly 20 years ago “creating” replaced “evaluation” at the top of Bloom’s Taxonomy of learning objectives. In 2010 “creativity” was the factor most crucial for success found in an I.B.M. survey of 1,500 chief executives in 33 industries. These days “creative” is the most used buzzword in LinkedIn profiles two years running.
  • The method, which is used in Buffalo State classrooms, has four steps: clarifying, ideating, developing and implementing. People tend to gravitate to particular steps, suggesting their primary thinking style.
  • What’s igniting campuses, though, is the conviction that everyone is creative, and can learn to be more so.
  • Just about every pedagogical toolbox taps similar strategies, employing divergent thinking (generating multiple ideas) and convergent thinking (finding what works).The real genius, of course, is in the how.
  • as content knowledge evolves at lightning speed, educators are talking more and more about “process skills,” strategies to reframe challenges and extrapolate and transform information, and to accept and deal with ambiguity.
  • Clarifying — asking the right question — is critical because people often misstate or misperceive a problem. “If you don’t have the right frame for the situation, it’s difficult to come up with a breakthrough,
  • Ideating is brainstorming and calls for getting rid of your inner naysayer to let your imagination fly.
  • Developing is building out a solution, and maybe finding that it doesn’t work and having to start over
  • Implementing calls for convincing others that your idea has value.
  • “the frequency and intensity of failures is an implicit principle of the course. Getting into a creative mind-set involves a lot of trial and error.”
  • His favorite assignments? Construct a résumé based on things that didn’t work out and find the meaning and influence these have had on your choices.
  • “Examine what in the culture is preventing you from creating something new or different. And what is it like to look like a fool because a lot of things won’t work out and you will look foolish? So how do you handle that?”
  • Because academics run from failure, Mr. Keywell says, universities are “way too often shapers of formulaic minds,” and encourage students to repeat and internalize fail-safe ideas.
  • “The new people who will be creative will sit at the juxtaposition of two or more fields,” she says. When ideas from different fields collide, Dr. Cramond says, fresh ones are generated.
  • Basic creativity tools used at the Torrance Center include thinking by analogy, looking for and making patterns, playing, literally, to encourage ideas, and learning to abstract problems to their essence.
  • students explore definitions of creativity, characteristics of creative people and strategies to enhance their own creativity.These include rephrasing problems as questions, learning not to instinctively shoot down a new idea (first find three positives), and categorizing problems as needing a solution that requires either action, planning or invention.
grayton downing

Newborn Immune Systems Suppressed | The Scientist Magazine® - 0 views

  • sterile world of the womb, at birth babies are thrust into an environment full of bacteria, viruses, and parasites. They are very vulnerable to these infections for their first months of life—a trait that has long been blamed on their immature immune systems.
  • “This more intricate regulation of immune responses makes more sense than immaturity,” said Sing Sing Way, who led the study, “because it allows a protective response to be mounted if needed.” This may explain why newborn immune responses, though generally weak, also vary wildly between different babies and across different studies.
  • njecting 6-day-old mice with splenocytes (a type of white blood cell) from adults. Newborn mice are normally 1,000 times more suspectible to bacterial infections than adults, but despite receiving working immune cells, they became no less vulnerable.
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  • Way added that there might be other reasons why newborns should carry immunosuppressive cells
  • Baby formulas contain small amounts of arginine. Sidney Morris, a biochemist from the University of Pittsburgh, said that it may be important to avoid fortifying them with extra arginine, lest it swamps the arginase activity of CD71+ cells, releases the immune system, and causes problems for the developing infants’ guts.
  • “Whether the precise mechanism of immunosuppression is the same or different in each of these circumstances remains to be determined,” he said.
Javier E

Grayson Perry's Reith Lectures: Who decides what makes art good? - FT.com - 0 views

  • I think this is one of the most burning issues around art – how do we tell if something is good? And who tells us that it’s good?
  • many of the methods of judging are very problematic and many of the criteria used to assess art are conflicting. We have financial value, popularity, art historical significance, or aesthetic sophistication. All these things could be at odds with each other.
  • A visitor to an exhibition like the Hockney one, if they were judging the quality of the art, might use a word like “beauty”. Now, if you use that kind of word in the art world, be very careful. There will be sucking of teeth and mournful shaking of heads because their hero, the artist Marcel Duchamp, of “urinal” fame, he said, “Aesthetic delectation is the danger to be avoided.” In the art world sometimes it can feel as if to judge something on its beauty, on its aesthetic merits, is as if you’re buying into something politically incorrect, into sexism, into racism, colonialism, class privilege. It almost feels it’s loaded, because where does our idea of beauty come from?
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  • beauty is very much about familiarity and it’s reinforcing an idea we have already. It’s like when we go on holiday, all we really want to do is take the photograph that we’ve seen in the brochure. Because our idea of beauty is constructed, by family, friends, education, nationality, race, religion, politics, all these things
  • I have found the 21st-century version of the Venetian secret and it is a mathematical formula. What you do, you get a half-decent, non-offensive kind of idea, then you times it by the number of studio assistants, and then you divide it with an ambitious art dealer, and that equals number of oligarchs and hedge fund managers in the world.
  • the nearest we have to an empirical measure of art that actually does exist is the market. By that reckoning, Cézanne’s “Card Players” is the most beautiful lovely painting in the world. I find it a little bit clunky-kitsch but that’s me. It’s worth $260m.
  • The opposite arguments are that it’s art for art’s sake and that’s a very idealistic position to take. Clement Greenberg, a famous art critic in the 1950s, said that art will always be tied to money by an umbilical cord of gold, either state money or market money. I’m pragmatic about it: one of my favourite quotes is you’ll never have a good art career unless your work fits into the elevator of a New York apartment block.
  • there’s one thing about that red painting that ends up in Sotheby’s. It’s not just any old red painting. It is a painting that has been validated. This is an important word in the art world and the big question is: who validates? There is quite a cast of characters in this validation chorus that will kind of decide what is good art. They are a kind of panel, if you like, that decides on what is good quality, what are we going to end up looking at?
  • They include artists, teachers, dealers, collectors, critics, curators, the media, even the public maybe. And they form this lovely consensus around what is good art.
  • there were four stages to the rise of an artist. Peers, serious critics and collectors, dealers, then the public.
  • Another member of that cast of validating characters is the collectors. In the 1990s, if Charles Saatchi just put his foot over the threshold of your exhibition, that was it. The media was agog and he would come in and Hoover it up. You do want the heavyweight collector to buy your work because that gives it kudos. You don’t want a tacky one who is just buying it to glitz up their hallway.
  • The next part of this chorus of validation are the dealers. A good dealer brand has a very powerful effect on the reputation of the artist; they form a part of placing the work. This is a slightly mysterious process that many people don’t quite understand but a dealer will choose where your work goes so it gains the brownie points, so the buzz around it goes up.
  • now, of course, galleries like the Tate Modern want a big name because visitor numbers, in a way, are another empirical measure of quality. So perhaps at the top of the tree of the validation cast are the curators, and in the past century they have probably become the most powerful giver-outers of brownie points in the art world.
  • ach of the encounters with these members of the cast of validation bestows upon the work, and on the artist, a patina, and what makes that patina is all these hundreds of little conversations and reviews and the good prices over time. These are the filters that pass a work of art through into the canon.
  • So what does this lovely consensus, that all these people are bestowing on this artwork, that anoints it with the quality that we all want, boil down to? I think in many ways what it boils down to is seriousness. That’s the most valued currency in the art world.
  • The whole idea of quality now seems to be contested, as if you’re buying into the language of the elite by saying, “Oh, that’s very good.” How you might judge this work is really problematic because to say it’s not beautiful is to put the wrong kind of criteria on it. You might say, “Oh, it’s dull!” [And people will say] “Oh, you’re just not understanding it with the right terms.” So I think, “Well, how do we judge these things?” Because a lot of them are quite politicised. There’s quite a right-on element to them, so do we judge them on how ethical they are, or how politically right-on they are?
  • What I am attempting to explain is how the art we see in museums and in galleries around the world, and in biennales – how it ends up there, how it gets chosen. In the end, if enough of the right people think it’s good, that’s all there is to it. But, as Alan Bennett said when he was a trustee of the National Gallery, they should put a big sign up outside saying: “You don’t have to like it all.”
  • Or then again I might say, “Well, what do I judge them against?” Do I judge them against government policy? Do I judge them against reality TV? Because that does participation very well. So, in the end, what do we do? What happens to this sort of art when it doesn’t have validation? What is it left with? It’s left with popularity.
  • Then, of course, the next group of people we might think about in deciding what is good art is the public. Since the mid-1990s, art has got a lot more media attention. But popularity has always been a quite dodgy quality [to have]. The highbrow critics will say, “Oh, he’s a bit of a celebrity,” and they turn their noses up about people who are well known to the public
Javier E

The Art of Focus - NYTimes.com - 1 views

  • in order to pursue their intellectual adventures, children need a secure social base:
  • The way to discover a terrifying longing is to liberate yourself from the self-censoring labels you began to tell yourself over the course of your mis-education. These formulas are stultifying
  • The lesson from childhood, then, is that if you want to win the war for attention, don’t try to say “no” to the trivial distractions you find on the information smorgasbord; try to say “yes” to the subject that arouses a terrifying longing, and let the terrifying longing crowd out everything else.
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  • Don’t structure your encounters with them the way people do today, through brainstorming sessions (those don’t work) or through conferences with projection screen
  • Focus on the external objects of fascination, not on who you think you are. Find people with overlapping obsessions.
  • this creates a space internally into which one can be absorbed. In order to be absorbed one has to feel sufficiently safe, as though there is some shield, or somebody guarding
  • Instead look at the way children learn in groups. They make discoveries alone, but bring their treasures to the group. Then the group crowds around and hashes it out. In conversation, conflict, confusion and uncertainty can be metabolized and digested through somebody else.
  • 66 percent of workers aren’t able to focus on one thing at a time. Seventy percent of employees don’t have regular time for creative or strategic thinking while at work.
  • Many of us lead lives of distraction, unable to focus on what we know we should focus on.
  • I wonder if we might be able to copy some of the techniques used by the creatures who are phenomenally good at learning things: children.
Javier E

Book Club: A Guide To Living « The Dish - 0 views

  • He proves nothing that he doesn’t simultaneously subvert a little; he makes no over-arching argument about the way humans must live; he has no logician’s architecture or religious doctrine. He slips past all those familiar means of telling other people what’s good for them, and simply explains what has worked for him and others and leaves the reader empowered to forge her own future
  • You can see its eccentric power by considering the alternative ways of doing what Montaigne was doing. Think of contemporary self-help books – and all the fake certainty and rigid formulae they contain. Or think of a hideous idea like “the purpose-driven life” in which everything must be forced into the box of divine guidance in order to really live at all. Think of the stringency of Christian disciplines – say, the spiritual exercises of Ignatius of Loyola – and marvel at how Montaigne offers an entirely different and less compelling way to live. Think of the rigidity of Muslim practice and notice how much lee-way Montaigne gives to sin
  • This is a non-philosophical philosophy. It is a theory of practical life as told through one man’s random and yet not-so-random reflections on his time on earth. And it is shot through with doubt. Even the maxims that Montaigne embraces for living are edged with those critical elements of Montaigne’s thought that say “as far as I know”
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  • Is this enough? Or is it rather a capitulation to relativism, a manifesto for political quietism, a worldview that treats injustice as something to be abhorred but not constantly fought against? This might be seen as the core progressive objection to the way of Montaigne. Or is his sensibility in an age of religious terror and violence and fanaticism the only ultimate solution we have?
  • here’s what we do know. We are fallible beings; we have nothing but provisional knowledge; and we will die. And this is enough. This does not mean we should give up inquiring or seeking to understand. Skepticism is not nihilism. It doesn’t posit that there is no truth; it merely notes that if truth exists, it is inherently beyond our ultimate grasp. And accepting those limits is the first step toward sanity, toward getting on with life. This is what I mean by conservatism.
  • you can find in philosophy any number of clues about how to live; you can even construct them into an ideology that explains all of human life and society – like Marxism or free market fundamentalism or a Nietzschean will to power. But as each totalist system broke down upon my further inspection, I found myself returning to Montaigne and the tradition of skepticism he represents
  • If I were to single out one theme of Montaigne’s work that has stuck with me, it would be this staring of death in the face, early and often, and never flinching. It is what our culture refuses to do much of the time, thereby disempowering us in the face of our human challenges.
charlottedonoho

How have changes to publishing affected scientists? | Julie McDougall-Waters | Science ... - 0 views

  • That was the purpose of a recent oral history event at the Royal Society, involving four senior scientists who began their careers in the 1960s and 1970s. Rather than simply reminiscing, they were asked to recall their publishing experiences in scientific periodicals over the last fifty years. How have things changed since they published their first paper?
  • It became clear that the hierarchy of journals has changed over the last fifty years, and the pressure to publish in those considered to have the highest impact has increased considerably, partly a result of the increased volume of data being produced and the need for readers to filter relevant information from the copious amounts of less pertinent stuff available.
  • What have also changed are the technologies available to write a paper. Frith related the process she went through in writing her first paper: “I wrote my papers by long hand and then typed them myself.” Writing a biological paper before computers is one thing, but Ashmore remembered the problems of producing mathematical formulae in a typed manuscript, explaining that “you wrote the paper and probably took it along to somebody to be typed… And then it came back with spaces where you had to write in the equations.”
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  • Another change that interested the panellists was the increased number of collaborative and multiple authored papers now submitted to journals, which led them to think about the ethics of acknowledgement. In Meurig Thomas’s view the author is, simply, “the person that primarily thinks about the experiment, plans it, and writes it. I can sleep more comfortably at night this way. If I claim to be a senior author, I have to write it and I have to concoct what the experiment was, and defend it.” Chaloner suggested that authorship has grown “because of the pressure for people to have publications in their names”, with an “agreement to let you come onto this paper and I’ll get on yours next time”. Frith referred to this as “gaming”.
  • Despite all of the technological developments in the last fifty years, there has been no quick or easy response to questions over refereeing, and the event ended with the feeling that although there is no doubt technology has transformed the way science is communicated, its effect has not invariably simplified the process.
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