Algebra Of Life Quotes

In real life, I assure you, there is no such thing as algebra.

Ladies and gentlemen of the class of '97: Wear sunscreen. If I could offer you only one tip for the future, sunscreen would be it. The long-term benefits of sunscreen have been proved by scientists, whereas the rest of my advice has no basis more reliable than my own meandering experience. I will dispense this advice now. Enjoy the power and beauty of your youth. Oh, never mind. You will not understand the power and beauty of your youth until they've faded. But trust me, in 20 years, you'll look back at photos of yourself and recall in a way you can't grasp now how much possibility lay before you and how fabulous you really looked. You are not as fat as you imagine. Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

Ladies and gentlemen of the class of '97: Wear sunscreen. If I could offer you only one tip for the future, sunscreen would be it. The long-term benefits of sunscreen have been proved by scientists, whereas the rest of my advice has no basis more reliable than my own meandering experience. I will dispense this advice now. Enjoy the power and beauty of your youth. Oh, never mind. You will not understand the power and beauty of your youth until they've faded. But trust me, in 20 years, you'll look back at photos of yourself and recall in a way you can't grasp now how much possibility lay before you and how fabulous you really looked. You are not as fat as you imagine. Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 pm on some idle Tuesday. Do one thing everyday that scares you. Sing. Don't be reckless with other people's hearts. Don't put up with people who are reckless with yours. Floss. Don't waste your time on jealousy. Sometimes you're ahead, sometimes you're behind. The race is long and, in the end, it's only with yourself. Remember compliments you receive. Forget the insults. If you succeed in doing this, tell me how. Keep your old love letters. Throw away your old bank statements. Stretch. Don't feel guilty if you don't know what you want to do with your life. The most interesting people I know didn't know at 22 what they wanted to do with their lives. Some of the most interesting 40-year-olds I know still don't. Get plenty of calcium. Be kind to your knees. You'll miss them when they're gone. Maybe you'll marry, maybe you won't. Maybe you'll have children, maybe you won't. Maybe you'll divorce at 40, maybe you'll dance the funky chicken on your 75th wedding anniversary. Whatever you do, don't congratulate yourself too much, or berate yourself either. Your choices are half chance. So are everybody else's. Enjoy your body. Use it every way you can. Don't be afraid of it or of what other people think of it. It's the greatest instrument you'll ever own. Dance, even if you have nowhere to do it but your living room. Read the directions, even if you don't follow them. Do not read beauty magazines. They will only make you feel ugly. Get to know your parents. You never know when they'll be gone for good. Be nice to your siblings. They're your best link to your past and the people most likely to stick with you in the future. Understand that friends come and go, but with a precious few you should hold on. Work hard to bridge the gaps in geography and lifestyle, because the older you get, the more you need the people who knew you when you were young. Live in New York City once, but leave before it makes you hard. Live in Northern California once, but leave before it makes you soft. Travel. Accept certain inalienable truths: Prices will rise. Politicians will philander. You, too, will get old. And when you do, you'll fantasize that when you were young, prices were reasonable, politicians were noble, and children respected their elders. Respect your elders. Don't expect anyone else to support you. Maybe you have a trust fund. Maybe you'll have a wealthy spouse. But you never know when either one might run out. Don't mess too much with your hair or by the time you're 40 it will look 85. Be careful whose advice you buy, but be patient with those who supply it. Advice is a form of nostalgia. Dispensing it is a way of fishing the past from the disposal, wiping it off, painting over the ugly parts and recycling it for more than it's worth. But trust me on the sunscreen.

Problem solving, and I don't mean algebra, seems to be my life's work. Maybe it's everyone's life's work.

Enjoy the power and beauty of your youth; oh nevermind; you will not understand the power and beauty of your youth until they have faded. But trust me, in 20 years you’ll look back at photos of yourself and recall in a way you can’t grasp now how much possibility lay before you and how fabulous you really looked….You’re not as fat as you imagine. Don’t worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4pm on some idle Tuesday. Do one thing everyday that scares you Sing Don’t be reckless with other people’s hearts, don’t put up with people who are reckless with yours. Floss Don’t waste your time on jealousy; sometimes you’re ahead, sometimes you’re behind…the race is long, and in the end, it’s only with yourself. Remember the compliments you receive, forget the insults; if you succeed in doing this, tell me how. Keep your old love letters, throw away your old bank statements. Stretch Don’t feel guilty if you don’t know what you want to do with your life…the most interesting people I know didn’t know at 22 what they wanted to do with their lives, some of the most interesting 40 year olds I know still don’t. Get plenty of calcium. Be kind to your knees, you’ll miss them when they’re gone. Maybe you’ll marry, maybe you won’t, maybe you’ll have children,maybe you won’t, maybe you’ll divorce at 40, maybe you’ll dance the funky chicken on your 75th wedding anniversary…what ever you do, don’t congratulate yourself too much or berate yourself either – your choices are half chance, so are everybody else’s. Enjoy your body, use it every way you can…don’t be afraid of it, or what other people think of it, it’s the greatest instrument you’ll ever own.. Dance…even if you have nowhere to do it but in your own living room. Read the directions, even if you don’t follow them. Do NOT read beauty magazines, they will only make you feel ugly. Get to know your parents, you never know when they’ll be gone for good. Be nice to your siblings; they are the best link to your past and the people most likely to stick with you in the future. Understand that friends come and go,but for the precious few you should hold on. Work hard to bridge the gaps in geography and lifestyle because the older you get, the more you need the people you knew when you were young.

Friendship is something that gets harder to understand, every damn year of my life.Friendship is like a kind of algebra test that nobody passes. In my worst moods, I think the best you can say is that a friend is anyone you don't despise.

Algebra did not simply ease how numbers were depicted or calculated, but fundamentally revolutionized how to operate efficiently.

Worrying about the future is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life will always be things that never crossed your worried mind.

We live through myriads of seconds, yet it is always one, just one, that casts our entire inner world into turmoil, the second when (as Stendhal has described it) the internal inflorescence, already steeped in every kind of fluid, condenses and crystallizes—a magical second, like the moment of generation, and like that moment concealed in the warm interior of the individual life, invisible, untouchable, beyond the reach of feeling, a secret experienced alone. No algebra of the mind can calculate it, no alchemy of premonition divine it, and it can seldom perceive itself.

In essence, the algebra mindset transformed broken situations into dynamic opportunities for lasting impact. And it did so with elegant equations, precise numerals, and dynamic efficiency. The world would never be the same.

Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

Algebra applies to the clouds, the radiance of the star benefits the rose--no thinker would dare to say that the perfume of the hawthorn is useless to the constellations. Who could ever calculate the path of a molecule? How do we know that the creations of worlds are not determined by falling grains of sand? Who can understand the reciprocal ebb and flow of the infinitely great and the infinitely small, the echoing of causes in the abyss of being and the avalanches of creation? A mite has value; the small is great, the great is small. All is balanced in necessity; frightening vision for the mind. There are marvelous relations between beings and things, in this inexhaustible whole, from sun to grub, there is no scorn, each needs the other. Light does not carry terrestrial perfumes into the azure depths without knowing what it does with them; night distributes the stellar essence to the sleeping plants. Every bird that flies has the thread of the infinite in its claw. Germination includes the hatching of a meteor and the tap of a swallow's beak breaking the egg, and it guides the birth of the earthworm, and the advent of Socrates. Where the telescope ends, the microscope begins. Which of the two has a greater view? Choose. A bit of mold is a pleiad of flowers; a nebula is an anthill of stars. The same promiscuity, and still more wonderful, between the things of the intellect and material things. Elements and principles are mingled, combined, espoused, multiplied one by another, to the point that the material world, and the moral world are brought into the same light. Phenomena are perpetually folded back on themselves. In the vast cosmic changes, universal life comes and goes in unknown quantities, rolling everything up in the invisible mystery of the emanations, using everything, losing no dream from any single sleep, sowing a microscopic animal here, crumbling a star there, oscillating and gyrating, making a force of light, and an element of thought, disseminated and indivisible dissolving all, that geometric point, the self; reducing everything to the soul-atom; making everything blossom into God; entangling from the highest to the lowest, all activities in the obscurity of a dizzying mechanism, linking the flight of an insect to the movement of the earth, subordinating--who knows, if only by the identity of the law--the evolutions of the comet in the firmament to the circling of the protozoa in the drop of water. A machine made of mind. Enormous gearing, whose first motor is the gnat, and whose last is the zodiac.

I still think of Oregon Trail as a great leveler. If, for example, you were a twelve-year-old girl from Westchester with frizzy hair, a bite plate, and no control over your own life, suddenly you could drown whomever you pleased. Say you have shot four bison, eleven rabbits, and Bambi's mom. Say your wagon weighs 9,783 pounds and this arduous journey has been most arduous. The banker's sick. The carpenter's sick. The butcher, the baker, the algebra-maker. Your fellow pioneers are hanging on by a spool of flax. Your whole life is in flux and all you have is this moment. Are you sure you want to forge the river? Yes. Yes, you are.

Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra.

Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package.

There were no sex classes. No friendship classes. No classes on how to navigate a bureaucracy, build an organization, raise money, create a database, buy a house, love a child, spot a scam, talk someone out of suicide, or figure out what was important to me. Not knowing how to do these things is what messes people up in life, not whether they know algebra or can analyze literature.

The neurons that do expire are the ones that made imitation possible. When you are capable of skillful imitation, the sweep of choices before you is too large; but when your brain loses its spare capacity, and along with it some agility, some joy in winging it, and the ambition to do things that don't suit it, then you finally have to settle down to do well the few things that your brain really can do well--the rest no longer seems pressing and distracting, because it is now permanently out of reach. The feeling that you are stupider than you were is what finally interests you in the really complex subjects of life: in change, in experience, in the ways other people have adjusted to disappointment and narrowed ability. You realize that you are no prodigy, your shoulders relax, and you begin to look around you, seeing local color unrivaled by blue glows of algebra and abstraction.

Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra.

love was a willingness to take the life you’ve built for yourself and tear it up for the other person.

I was not really surprised by what he was saying. A lot of people felt that way. Especially men. There was a quantity of things that men hated. Or had no use for, as they said. And that was exactly right. They had no use for it, so they hated it. Maybe it was the same way I felt about algebra- I doubted very much that I would ever find any use for it. But I didn't go so far as to want it wiped off the face of the earth for that reason.

On Algebra - "We're a month into it, and I'm planning to start a real protest movement, one to have X and Y removed from the alphabet. Z is also suspect as far as I'm concerned...Damn it! They put a man on the moon; can't they find some way to end the scourge of Algebra?

The mind craves ease; it encourages the senses to recognize symbols, to gloss. It makes maps of our kitchen drawers and neighborhood streets; it fashions a sort of algebra out of life. And this is useful, even essential - X is the route to work, Y is the heft and feel of a nickel between your fingers. Without habit, the beauty of the world would overwhelm us. We'd pass out every time we saw - actually saw- a flower.

I open my arms wide and let the wind flow over me. I love the universe and the universe loves me. That’s the one-two punch right there, wanting to love and wanting to be loved. Everything else is pure idiocy—shiny fancy outfits, Geech-green Cadillacs, sixty-dollar haircuts, schlock radio, celebrity-rehab idiots, and most of all, the atomic vampires with their de-soul-inators, and flag-draped coffins. Goodbye to all that, I say. And goodbye to Mr. Asterhole and the Red Death of algebra and to the likes of Geech and Keeeevin. Goodbye to Mom’s rented tan and my sister’s chargecard boobs. Goodbye to Dad for the second and last time. Goodbye to black spells and jagged hangovers, divorces, and Fort Worth nightmares. To high school and Bob Lewis and once-upon-a-time Ricky. Goodbye to the future and the past and, most of all, to Aimee and Cassidy and all the other girls who came and went and came and went. Goodbye. Goodbye. I can’t feel you anymore. The night is almost too beautifully pure for my soul to contain. I walk with my arms spread open under the big fat moon. Heroic “weeds rise up from the cracks in the sidewalk, and the colored lights of the Hawaiian Breeze ignite the broken glass in the gutter. Goodbye, I say, goodbye, as I disappear little by little into the middle of the middle of my own spectacular now

That was probably the reason that history was more of an oracle than a science. Perhaps later, muck later, it would be taught by means of tables of statistics, supplemented by anatomical sections. The teacher would draw on the blackboard an algebraic formula representing the conditions of life of the masses of a particular nation at a particular period: 'Here, citizens, you see the objective factors which conditioned this historical process.

The solution which I am urging is to eradicate the fatal disconnection of subjects which kills the vitality of our modern curriculum. There is only one subject-matter for education, and that is LIfe in all its manifestations. Instead of this single unity, we offer children--Algebra, from which nothing follows; Geometry, from which nothing follows; Science, from which nothing follows; History, from which nothing follows; a Couple of Languages, never mastered; and lastly, most dreary of all, Literature, represented by plays of Shakespeare, with philological notes and short analyses of plot and character to be in substance committed to memory. Can such a list be said to represent Life, as it is known in the midst of living it? The best that can be said of it is, that it is a rapid table of contents which a deity might run over in his mind while he was thinking of creating a world, and has not yet determined how to put it together

Who cares for Algebra? Who delights in solving math? I only want to live my life Along the creative path.

Dr. Bar David?” A young man with black eyes and curly hair came toward him. Carrying a digital recorder. He looked familiar. “Richard Falco, North Richardson High. I took algebra and Calc I from you.” “Oh, yes, of course. Good to see you.” “I’m now reporting for Anchor Media. Just started a couple of months ago.” David started walking away. “Good for you. What a good course of action.” “Listen, I need to get a couple of quotes anyway. I wonder if—Oh, wait! I’m so sorry. You were at the North Richardson school shooting, five years ago.” David nodded. And began to panic. “That’s why you’re here, right?” the stupid student asked. “Protesting gun laws?” “I really need to be going, now. Good luck with your interviews.” Hyperventilating. Richard grabbed David’s shoulder. “But Dr. Bar David. Your story, tragic as it is, ends up being the reason for this whole public gun melting, right? A few words from you about—” David lost it. “Listen! My whole life changed that day. When that meshugener killed my entire family, my wife and my son, in an instant! With a gun he purchased the week before!” David grabbed the kid’s throat. “I do not want to talk about it. Don’t mention me in your article. I will sue you! Leave me alone.” Richard swallowed and nodded, fast. “Sorry, sorry, I’m so sorry—” David started shouting, “The bullets! The bullets! The bullets!” His head pounded. His ears roared.

It's like algebra, that's all. I just have to figure it out, step by step.

Algebra is one of those subjects you either get or you don’t.

They put a man on the moon. Can’t they find some way to end the scourge of algebra?

Where you die, and who is around you at the end, is a strong signal of your success or failure in life.

Language, like algebra, operates usefully only within certain limits. It’s a tool for making representations of the world, which, unfortunately, we then go on to mistake for the world itself.

The feeling that you are stupider than you were is what finally interests you in the really complex subjects of life: in change, in experience, in the ways other people have adjusted to disappointment and narrowed ability. You realize that you are no prodigy, your shoulders relax, and you begin to look around you, seeing local color unrivaled by blue glows of algebra and abstraction.

If you hate math and English, then you’ll really hate Algebra, with its numbers and letters, because it combines BOTH. To survive in life you must pivot, which is why I'm now tutoring at Used Duck Prices.

She liked numbers and sums. She devised a game in which each number was a family member and the “answer” made a family grouping with a story to it. Naught was a babe in arms. He gave no trouble. Whenever he appeared you just “carried” him. The figure 1 was a pretty baby girl just learning to walk, and easy to handle; 2 was a baby boy who could walk and talk a little. He went into family life (into sums, etc.) with very little trouble. And 3 was an older boy in kindergarten, who had to be watched a little. Then there was 4, a girl of Francie’s age. She was almost as easy to “mind” as 2. The mother was 5, gentle and kind. In large sums, she came along and made everything easy the way a mother should. The father, 6, was harder than the others but very just. But 7 was mean. He was a crotchety old grandfather and not at all accountable for how he came out. The grandmother, 8, was hard too, but easier to understand than 7. Hardest of all was 9. He was company and what a hard time fitting him into family life! When Francie added a sum, she would fix a little story to go with the result. If the answer was 924, it meant that the little boy and girl were being minded by company while the rest of the family went out. When a number such as 1024 appeared, it meant that all the little children were playing together in the yard. The number 62 meant that papa was taking the little boy for a walk; 50 meant that mama had the baby out in the buggy for an airing and 78 meant grandfather and grandmother sitting home by the fire of a winter’s evening. Each single combination of numbers was a new set-up for the family and no two stories were ever the same. Francie took the game with her up into algebra. X was the boy’s sweetheart who came into the family life and complicated it. Y was the boy friend who caused trouble. So arithmetic was a warm and human thing to Francie and occupied many lonely hours of her time.

How do you remember all of these?” “I store them away with all of the other important things in life and get rid of crap like algebra and how many tablespoons go into a cup.” “It’s good to know where your priorities lie.

Weight Watchers points is a beautiful system for someone who is absentminded about food. They aren’t the greatest for someone who has had eating disorders all her life. The world became numbers to me and I was doing more math than I ever had before. I got off Weight Watchers and went back to just counting calories. The world became different kinds of numbers, the old, familiar kind. This is how I eat now. The world is still numbers, but it is algebra, not calculus.

You ready, then?” Maddie asked her friend with a meaningful look. It was hard to say exactly what she was referring to. Ready for what? School? New friends? Life? In the mood Alana was in, she felt ready for anything … except maybe algebra.

I read it: "A man earned daily for 5 days and 3 times as much as he paid for his board, after which he was obliged to be idle 4 days," it said. "Upon counting his money after paying for his board he found that he had 2 ten-doller bills and 4 dollers. How much did he pay for the board, and what were his wages?" "All right. Think now," Weaver said. "How would you begin to solve it? What's your X?" I thought. Very hard. For quite some time. About the man and his meager wages and shabby boardinghouse and lonely life. "Where did he work?" I finally asked. "What? It doesn't matter, Matt. Just assign an X to-" "A mill, I bet," I said, picturing the man's threadbare clothing, his worn shoes. "A woolen mill. Why do you think he was obliged to be idle?" "I don't know why. Look, just-" "I bet he got sick," I said, clutching Weaver's arm. "Or maybe business wasn't good, and his boss had no work for him. I wonder if he had a family in the country. It would be a terrible thing, wouldn't it, if he had children to feed and no work? Maybe his wife was poorly, too. And I bet he had..." "Damn it, Mattie, this is algebra, not composition!" Weaver said, glaring at me. "Sorry," I said, feeling like a hopeless case.

In high school algebra, someone had already worked out the formulas. The teacher knew them or could find them in the teacher’s manual for the textbook. Imagine a word problem where nobody knows how to turn it into a formula, where some of the information is redundant and should not be used, where crucial information is often missing, and where there is no similar example worked out earlier in the textbook. This is what happens when one tries to apply statistical models to real-life problems.

Blessed influence of one true loving human soul on another! Not calculable by algebra, not deducible by logic, but mysterious, effectual, mighty as the hidden process by which the tiny seed is quickened, and bursts forth into tall stem and broad leaf, and glowing tasseled flower.

as Henry James had said in a letter to a do-gooding friend, “Only don’t, I beseech you, generalize too much in these sympathies and tendernesses—remember that every life is a special problem which is not yours but another’s, and content yourself with the terrible algebra of your own.

Enjoy the power and beauty of your youth; oh never mind; you will not understand the power and beauty of your youth until they have faded. But trust me, in 20 years you’ll look back at photos of yourself and recall in a way you can’t grasp now how much possibility lay before you and how fabulous you really looked. You’re not as fat as you imagine. Don’t worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4pm on some idle Tuesday. Do one thing everyday that scares you. Sing. Don’t be reckless with other people’s hearts, don’t put up with people who are reckless with yours. Floss. Don’t waste your time on jealousy; sometimes you’re ahead, sometimes you’re behind, the race is long, and in the end, it’s only with yourself. Remember the compliments you receive, forget the insults; if you succeed in doing this, and tell me how. Keep your old love letters; throw away your old bank statements. Stretch. Don’t feel guilty if you don’t know what you want to do with your life.

This has been my difficulty. The difficulty with my life. Those well-built trig points, those physical determinants of parents, background, school, family, birth, marriage, death, love, work, are themselves as much in motion as I am. What should be stable, shifts. What I am told is solid, slips. The sensible strong ordinary world of fixity is folklore. The earth is not flat. Geometry cedes to algebra. The Greeks were wrong.

You are right in your consciousness that we are all echoes and reverberations of the same, and you are noble when your interest and pity as to everything that surrounds you appears to have a sustaining and harmonizing power. Only don’t, I beseech you, generalize too much in these sympathies and tendernesses — remember that every life is a special problem which is not yours but another’s, and content yourself with the terrible algebra of your own. Don’t melt too much into the universe, but be as solid and dense and fixed as you can. Sorrow comes in great waves—no one can know that better than you—but it rolls over us, and though it may almost smother us it leaves us on the spot and we know that if it is strong we are stronger, inasmuch as it passes and we remain. It wears us, uses us, but we wear it and use it in return; and it is blind, whereas we after a manner see. My dear Grace, you are passing through a darkness in which I myself in my ignorance see nothing but that you have been made wretchedly ill by it; but it is only a darkness, it is not an end, or the end. Don't think, don't feel, any more than you can help, don't conclude or decide—don't do anything but wait. Everything will pass, and serenity and accepted mysteries and disillusionments, and the tenderness of a few good people, and new opportunities and ever so much of life, in a word, will remain. You will do all sorts of things yet, and I will help you. The only thing is not to melt in the meanwhile. I insist upon the necessity of a sort of mechanical condensation—so that however fast the horse may run away there will, when he pulls up, be a somewhat agitated but perfectly identical G. N. left in the saddle. Try not to be ill—that is all; for in that there is a future.

Where would tourism be without a little luxury and a taste of night life? There were several cities on Deanna, all moderate in size, but the largest was the capital, Atro City. For the connoisseur of fast-foods, Albrechts’ famous hotdogs and coldcats were sold fresh from his stall (Albrecht’s Takeaways) on Lupini Square. For the sake of his own mental health he had temporarily removed Hot Stuff Blend from the menu. The city was home to Atro City University, which taught everything from algebra and make-up application to advanced stamp collecting; and it was also home to the planet-famous bounty hunter – Beck the Badfeller. Beck was a legend in his own lifetime. If Deanna had any folklore, then Beck the Badfeller was one of its main features. He was the local version of Robin Hood, the Davy Crockett of Deanna. The Local rumor mill had it he was so good he could find the missing day in a leap year. Once, so the story goes, he even found a missing sock.

Let us wonder, Carole, at the genius of hyperbolic geometry, where the sum of the angles adds up to tales than 180 degrees Let us wonder at how the ancient Egyptians worked out how to measure an irregularly-shaped field Let us wonder how X was just a rare letter until algebra came along and made it something special that can be unraveled to reveal its inner value You see, maths is a process of discovery, Carole, it is like the exploration of space, the planets were always there, it just took us a long time to find them

But I can assume he wasn’t hugged a whole lot. His family didn’t pray before dinner. They didn’t go camping or snuggle together on the couch for movie night. I can assume his father never helped him with his algebra homework. I can guess that at least once, someone forgot to pick him up from school. I can guess that at some point in his life, no one was paying attention to what he watched on TV. And I can guess that he’s been smacked across the face by someone who should’ve known better, someone he trusted. I flip through

To the surprise of any visiting alien, humans blithely educate themselves as if the chief requirement of adulthood were the possession of a set of technical skills, with no acknowledgement of the fact that what mostly runs us into the sands is not any shortfall in our command of matrix algebra or the French pluperfect but our inability to master what we could call the emotional dimensions of our lives: our understanding of ourselves, our capacity to deal with our lovers, children and colleagues, our degrees of self-confidence, our handle on calm and self-compassion.

Great teaching is the ability to distinguish between what can and needs to be explained and what cannot be explained. The working of a computer needs to be explained as it is made by the human mind. But a butterfly need not always be explained. A butterfly has to be seen with gleaming eyes of wonder as it is a natural expression of life and not of the mind. Great teaching is more like a craft than a technique. To evoke the curiosity in the learner, to care for the learner and to take the learner on a journey of discovery are some of the most critical elements of this craft.

We have a problem and a a problem demands a solution. Problem and solution—these two terms are inseparably connected to each other. It means if a person has a problem there is a certain method—it could be mathematical, algebra—that you can apply to this problem. What you get out of that is the solution. With that the problem is over. But it is not like that in human life. It is not like that with—now I am going to use the word myself—problems. Human problems, social problems, societal problems will never be solved... It is an illusion that some kind of problem will be solved.

The mind craves ease; it encourages the senses to recognize symbols, to gloss. It makes maps of our kitchen drawers and neighborhood streets; it fashions a sort of algebra out of life. And this is useful, even essential - X is the route to work, Y is the heft and feel of a nickel between your fingers. Without habit, the beauty of the world would overwhelm us. We'd pass out every time we saw - actually saw- a flower...'Habitualization,' a Russian army-commissar-turned-literary-critic named Viktor Shklovsky wrote in 1917, 'devours works, clothes, furniture, one's wife, and the fear of war.

The mind craves ease; it encourages the senses to recognize symbols, to gloss. It makes maps of our kitchen drawers and neighborhood streets; it fashions a sort of algebra out of life. And this is useful, even essential - X is the route to work, Y is the heft and feel of a nickel between your fingers. Without habit, the beauty of the world would overwhelm us. We'd pass out every time we saw - actually saw - a flower. Imagine if we only got to see a cumulonimbus cloud or Cassiopeia or a snowfall once a century: there'd be pandemonium in the streets. People would lie by the thousands in the fields on their backs.

On a flat surface with just the normal x and y coordinates, any high school algebra student, with the help of old Pythagoras, can calculate the distance between points. But imagine a flat map (of the world, for example) that represents locations on what is actually a curved globe. Things get stretched out near the poles, and measurement gets more complex. Calculating the actual distance between two points on the map in Greenland is different from doing so for points near the equator. Riemann worked out ways to determine mathematically the distance between points in space no matter how arbitrarily it curved and contorted.

The papers always referred to the strikers as foreign; as Chinamen, Indians, Arabs, and Africans. (Never mind Professor Craft.) They were never Oxfordians, they were never Englishmen, they were travellers from abroad who had taken advantage of Oxford’s good graces, and who now held the nation hostage. Babel had become synonymous with foreign, and this was very strange, because before this, the Royal Institute of Translation had always been regarded as a national treasure, a quintessentially English institution. But then England, and the English language, had always been more indebted to the poor, the lowly, and the foreign than it cared to admit. The word vernacular came from the Latin verna, meaning ‘house slave’; this emphasized the nativeness, the domesticity of the vernacular language. But the root verna also indicated the lowly origins of the language spoken by the powerful; the terms and phrases invented by slaves, labourers, beggars, and criminals – the vulgar cants, as it were – had infiltrated English until they became proper. And the English vernacular could not properly be called domestic either, because English etymology had roots all over the world. Almanacs and algebra came from Arabic; pyjamas from Sanskrit, ketchup from Chinese, and paddies from Malay. It was only when elite England’s way of life was threatened that the true English, whoever they were, attempted to excise all that had made them.

In 1976, a doctoral student at the University of Nottingham in England demonstrated that randomizing letters in the middle of words had no effect on the ability of readers to understand sentences. In tihs setncene, for emalxpe, ervey scarbelmd wrod rmenias bcilasaly leibgle. Why? Because we are deeply accustomed to seeing letters arranged in certain patterns. Because the eye is in a rush, and the brain, eager to locate meaning, makes assumptions. This is true of phrases, too. An author writes “crack of dawn” or “sidelong glance” or “crystal clear” and the reader’s eye continues on, at ease with combinations of words it has encountered innumerable times before. But does the reader, or the writer, actually expend the energy to see what is cracking at dawn or what is clear about a crystal? The mind craves ease; it encourages the senses to recognize symbols, to gloss. It makes maps of our kitchen drawers and neighborhood streets; it fashions a sort of algebra out of life. And this is useful, even essential—X is the route to work, Y is the heft and feel of a nickel between your fingers. Without habit, the beauty of the world would overwhelm us. We’d pass out every time we saw—actually saw—a flower. Imagine if we only got to see a cumulonimbus cloud or Cassiopeia or a snowfall once a century: there’d be pandemonium in the streets. People would lie by the thousands in the fields on their backs. We need habit to get through a day, to get to work, to feed our children. But habit is dangerous, too. The act of seeing can quickly become unconscious and automatic. The eye sees something—gray-brown bark, say, fissured into broad, vertical plates—and the brain spits out tree trunk and the eye moves on. But did I really take the time to see the tree? I glimpse hazel hair, high cheekbones, a field of freckles, and I think Shauna. But did I take the time to see my wife? “Habitualization,” a Russian army-commissar-turned-literary-critic named Viktor Shklovsky wrote in 1917, “devours works, clothes, furniture, one’s wife, and the fear of war.” What he argued is that, over time, we stop perceiving familiar things—words, friends, apartments—as they truly are. To eat a banana for the thousandth time is nothing like eating a banana for the first time. To have sex with somebody for the thousandth time is nothing like having sex with that person for the first time. The easier an experience, or the more entrenched, or the more familiar, the fainter our sensation of it becomes. This is true of chocolate and marriages and hometowns and narrative structures. Complexities wane, miracles become unremarkable, and if we’re not careful, pretty soon we’re gazing out at our lives as if through a burlap sack. In the Tom Andrews Studio I open my journal and stare out at the trunk of the umbrella pine and do my best to fight off the atrophy that comes from seeing things too frequently. I try to shape a few sentences around this tiny corner of Rome; I try to force my eye to slow down. A good journal entry—like a good song, or sketch, or photograph—ought to break up the habitual and lift away the film that forms over the eye, the finger, the tongue, the heart. A good journal entry ought be a love letter to the world. Leave home, leave the country, leave the familiar. Only then can routine experience—buying bread, eating vegetables, even saying hello—become new all over again.

I don't know why we live—the gift of life comes to us from I don't know what source or for what purpose; but I believe we can go on living for the reason that (always of course up to a certain point) life is the most valuable thing we know anything about and it is therefore presumptively a great mistake to surrender it while there is any yet left in the cup. In other words consciousness is an illimitable power, and though at times it may seem to be all consciousness of misery, yet in the way it propagates itself from wave to wave, so that we never cease to feel, though at moments we appear to, try to, pray to, there is something that holds one in one's place, makes it a standpoint in the universe which it is probably good not to forsake. You are right in your consciousness that we are all echoes and reverberations of the same, and you are noble when your interest and pity as to everything that surrounds you, appears to have a sustaining and harmonizing power. Only don't, I beseech you, generalize too much in these sympathies and tendernesses—remember that every life is a special problem which is not yours but another's, and content yourself with the terrible algebra of your own. Don't melt too much into the universe, but be as solid and dense and fixed as you can. We all live together, and those of us who love and know, live so most. We help each other—even unconsciously, each in our own effort, we lighten the effort of others, we contribute to the sum of success, make it possible for others to live. Sorrow comes in great waves—no one can know that better than you—but it rolls over us, and though it may almost smother us it leaves us on the spot and we know that if it is strong we are stronger, inasmuch as it passes and we remain. It wears us, uses us, but we wear it and use it in return; and it is blind, whereas we after a manner see …

The mind craves ease; it encourages the senses to recognize symbols, to gloss. It makes maps of our kitchen drawers and neighborhood streets; it fashions a sort of algebra out of life. And this is useful, even essential - X is the route to work, Y is the heft and feel of a nickel between your fingers. Without habit, the beauty of the world would overwhelm us. We'd pass out every time we saw - actually saw - a flower. Imagine if we only got to see a cumulonimbus cloud or Cassiopeia or a snowfall once a century: there'd be pandemonium in the streets. People would lie by the thousands in the fields on their backs. We need habit to get through a day, to get to work, to feed our children. But habit is dangerous, too. The act of seeing can quickly become unconscious and automatic. The eye sees something - gray-brown bark, say, fissured into broad, vertical plates - and the brain spits out tree trunk and the eye moves on. But did I really take the time to see the tree? I glimpse hazel hair, high cheekbones, a field of freckles, and I think Shauna. But did I take the time to see my wife?

Einstein served as a source of inspiration for many of the modernist artists and thinkers, even when they did not understand him. This was especially true when artists celebrated such concepts as being “free from the order of time,” as Proust put it in the closing of Remembrance of Things Past. “How I would love to speak to you about Einstein,” Proust wrote to a physicist friend in 1921. “I do not understand a single word of his theories, not knowing algebra. [Nevertheless] it seems we have analogous ways of deforming Time.”54 A pinnacle of the modernist revolution came in 1922, the year Einstein’s Nobel Prize was announced. James Joyce’s Ulysses was published that year, as was T. S. Eliot’s The Waste Land. There was a midnight dinner party in May at the Majestic Hotel in Paris for the opening of Renard, composed by Stravinsky and performed by Diaghilev’s Ballets Russes. Stravinsky and Diaghilev were both there, as was Picasso. So, too, were both Joyce and Proust, who “were destroying 19th century literary certainties as surely as Einstein was revolutionizing physics.” The mechanical order and Newtonian laws that had defined classical physics, music, and art no longer ruled.

In Praise of Darkness" Old age (the name that others give it) can be the time of our greatest bliss. The animal has died or almost died. The man and his spirit remain. I live among vague, luminous shapes that are not darkness yet. Buenos Aires, whose edges disintegrated into the endless plain, has gone back to being the Recoleta, the Retiro, the nondescript streets of the Once, and the rickety old houses we still call the South. In my life there were always too many things. Democritus of Abdera plucked out his eyes in order to think: Time has been my Democritus. This penumbra is slow and does not pain me; it flows down a gentle slope, resembling eternity. My friends have no faces, women are what they were so many years ago, these corners could be other corners, there are no letters on the pages of books. All this should frighten me, but it is a sweetness, a return. Of the generations of texts on earth I will have read only a few– the ones that I keep reading in my memory, reading and transforming. From South, East, West, and North the paths converge that have led me to my secret center. Those paths were echoes and footsteps, women, men, death-throes, resurrections, days and nights, dreams and half-wakeful dreams, every inmost moment of yesterday and all the yesterdays of the world, the Dane's staunch sword and the Persian's moon, the acts of the dead, shared love, and words, Emerson and snow, so many things. Now I can forget them. I reach my center, my algebra and my key, my mirror. Soon I will know who I am.

She liked numbers and sums. She devised a game in which each number was a family member and the “answer” made a family grouping with a story to it. Naught was a babe in arms. He gave no trouble. Whenever he appeared you just “carried” him. The figure 1 was a pretty baby girl just learning to walk, and easy to handle; 2 was a baby boy who could walk and talk a little. He went into family life (into sums, etc.) with very little trouble. And 3 was an older boy in kindergarten, who had to be watched a little. Then there was 4, a girl of Francie’s age. She was almost as easy to “mind” as 2. The mother was 5, gentle and kind. In large sums, she came along and made everything easy the way a mother should. The father, 6, was harder than the others but very just. But 7 was mean. He was a crotchety old grandfather and not at all accountable for how he came out. The grandmother, 8, was hard too, but easier to understand than 7. Hardest of all was 9. He was company and what a hard time fitting him into family life! When Francie added a sum, she would fix a little story to go with the result. If the answer was 924, it meant that the little boy and girl were being minded by company while the rest of the family went out. When a number such as 1024 appeared, it meant that all the little children were playing together in the yard. The number 62 meant that papa was taking the little boy out for a walk; 50 meant that mama had the baby out in the buggy for an airing and 78 meant grandfather and grandmother sitting home by the fire of a winter’s evening. Each single combination of numbers was a new set-up for the family and no two stories were ever the same. Francie took the game with her up into algebra. X was the boy’s sweetheart who came into the family life and complicated it. Y was the boy friend who caused trouble. So arithmetic was a warm and human thing to Francie and occupied many lonely hours of her time.

And one of the things that has most obstructed the path of discipleship in our Christian culture today is this idea that it will be a terribly difficult thing that will certainly ruin your life. A typical and often-told story in Christian circles is of those who have refused to surrender their lives to God for fear he would “send them to Africa as missionaries.” And here is the whole point of the much misunderstood teachings of Luke 14. There Jesus famously says one must “hate” all their family members and their own life also, must take their cross, and must forsake all they own, or they “cannot be my disciple” (Luke 14:26–27, 33). The entire point of this passage is that as long as one thinks anything may really be more valuable than fellowship with Jesus in his kingdom, one cannot learn from him. People who have not gotten the basic facts about their life straight will therefore not do the things that make learning from Jesus possible and will never be able to understand the basic points in the lessons to be learned. It is like a mathematics teacher in high school who might say to a student, “Verily, verily I say unto thee, except thou canst do decimals and fractions, thou canst in no wise do algebra.” It is not that the teacher will not allow you to do algebra because you are a bad person; you just won’t be able to do basic algebra if you are not in command of decimals and fractions. So this counting of the cost is not a moaning and groaning session. “Oh how terrible it is that I have to value all of my ‘wonderful’ things (which are probably making life miserable and hopeless anyway) less than I do living in the kingdom! How terrible that I must be prepared to actually surrender them should that be called for!” The counting of the cost is to bring us to the point of clarity and decisiveness. It is to help us to see. Counting the cost is precisely what the man with the pearl and the hidden treasure did. Out of it came their decisiveness and joy. It is decisiveness and joy that are the outcomes of the counting.

Under the impact of Western cultural influences, the souls of many Muslim men and women are slowly shrivelling. They are letting themselves be led away from their erstwhile belief that an improvement of living standards should be but a means to improving man’s spiritual perceptions; they are falling into the same idolatry of ‘progress’ into which the Western world fell after it reduced religion to a mere melodious tinkling somewhere in the background of happening; and are thereby growing smaller in stature, not greater: for all cultural imitation, opposed as it is to creativeness, is bound to make a people small... Not that the Muslims could not learn much from the West, especially in the fields of science and technology. But, then, acquisition of scientific notions and methods is not really ‘imitation’: and certainly not in the case of a people whose faith commands them to search for knowledge wherever it is to be found. Science is neither Western nor Eastern, for all scientific discoveries are only links in an unending chain of intellectual endeavour which embraces mankind as a whole. Every scientist builds on the foundations supplied by his predecessors, be they of his own nation or of another; and this process of building, correcting and improving goes on and on, from man to man, from age to age, from civilisation to civilisation: so that the scientific achievements of a particular age or civilisation can never be said to ‘belong’ to that age or civilisation. At various times one nation, more vigorous than others, is able to contribute more to the general fund of knowledge; but in the long run the process is shared, and legitimately so, by all. There was a time when the civilisation of the Muslims was more vigorous than the civilisation of Europe. It transmitted to Europe many technological inventions of a revolutionary nature, and more than that: the very principles of that ‘scientific method’ on which modern science and civilisation are built. Nevertheless, Jabir ibn Hayyan’s fundamental discoveries in chemistry did not make chemistry an ‘Arabian’ science; nor can algebra and trigonometry be described as ‘Muslim’ sciences, although the one was evolved by Al-Khwarizmi and the other by Al-Battani, both of whom were Muslims: just as one cannot speak of an ‘English’ Theory of Gravity, although the man who formulated it was an Englishman. All such achievements are the common property of the human race. If, therefore, the Muslims adopt, as adopt they must, modern methods in science and technology, they will do not more than follow the evolutionary instinct which causes men to avail themselves of other men’s experiences. But if they adopt - as there is no need for them to do - Western forms of life, Western manners and customs and social concepts, they will not gain thereby: for what the West can give them in this respect will not be superior to what their own culture has given them and to what their own faith points the way. If the Muslims keep their heads cool and accept process as a means and not an end in itself, they may not only retain their own inner freedom but also, perhaps, pass on to Western man the lost secret of life’s sweetness...

Everybody’s Free (To Wear Sunscreen)” Ladies and Gentlemen of the class of '99: Wear sunscreen. If I could offer you only one tip for the future, sunscreen would be it. The long term benefits of sunscreen have been proved by scientists, whereas the rest of my advice has no basis more reliable than my own meandering experience. I will dispense this advice now. Enjoy the power and beauty of your youth; oh never mind; you will not understand the power and beauty of your youth until they've faded. But trust me, in 20 years you’ll look back at photos of yourself and recall in a way you can’t grasp now how much possibility lay before you and how fabulous you really looked. You are not as fat as you imagine. Don’t worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4:00 pm on some idle Tuesday. Do one thing everyday that scares you. Sing. Don’t be reckless with other people’s hearts; don’t put up with people who are reckless with yours. Floss. Don’t waste your time on jealousy; sometimes you’re ahead; sometimes you’re behind; the race is long, and in the end it’s only with yourself. Remember compliments you receive; forget the insults. If you succeed in doing this, tell me how. Keep your old love letters; throw away your old bank statements. Stretch. Don’t feel guilty if you don’t know what you wanna do with your life; the most interesting people I know didn’t know at 22 what they wanted to do with their lives; some of the most interesting 40 year olds I know still don’t. Get plenty of calcium. Be kind to your knees; you’ll miss them when they’re gone. Maybe you’ll marry -- maybe you won’t. Maybe you’ll have children -- maybe you won’t. Maybe you’ll divorce at 40 -- maybe you’ll dance the funky chicken on your 75th wedding anniversary. Whatever you do, don’t congratulate yourself too much or berate yourself either -- your choices are half chance; so are everybody else’s. Enjoy your body; use it every way you can. Don’t be afraid of it, or what other people think of it. It’s the greatest instrument you’ll ever own. Dance. even if you have nowhere to do it but in your own living room. Read the directions, even if you don’t follow them. Do not read beauty magazines; they will only make you feel ugly. Get to know your parents; you never know when they’ll be gone for good. Be nice to your siblings; they're your best link to your past and the people most likely to stick with you in the future. Understand that friends come and go, but for the precious few you should hold on. Work hard to bridge the gaps in geography, in lifestyle, because the older you get the more you need the people you knew when you were young. Live in New York City once, but leave before it makes you hard. Live in Northern California once, but leave before it makes you soft. Travel. Accept certain inalienable truths: prices will rise; politicians will philander; you too will get old, and when you do you’ll fantasize that when you were young prices were reasonable, politicians were noble, and children respected their elders. Respect your elders. Don’t expect anyone else to support you. Maybe you have a trust fund; maybe you'll have a wealthy spouse; but you never know when either one might run out. Don’t mess too much with your hair, or by the time you're 40, it will look 85. Be careful whose advice you buy, but be patient with those who supply it. Advice is a form of nostalgia: dispensing it is a way of fishing the past from the disposal, wiping it off, painting over the ugly parts, and recycling it for more than it’s worth. But trust me on the sunscreen. Baz Luhrmannk, William Shakespeare's Romeo & Juliet (1996)

My name is Charlie Chucky, I am in the sixth grade, I love playing Minecraft, and I am learning to become a Super Spy. My Dad is the world’s best Super Spy, and he is starting to teach me all his tricks. Lately, I’ve been battling invisible giants, crazy zombie teachers, and super ninjas! Life has been pretty crazy, and I’ve enjoyed every second of it. My best friend Harley is different to me. He doesn’t want to become a Super Spy. He doesn’t want to battle bad guys and save the world each week. Nope. He wants to sit indoors and stare at numbers all day. Harley’s dream is to become the world’s greatest math professor. He loves school, he loves studying, and he absolutely loves math tests.  He goes mad for them. It is the one thing he is really good at. He just loves numbers.  Numbers are like candy for him – he can’t get enough of it. He even asked Mrs. Jackson for extra math homework last night. Mrs. Jackson then decided to give the whole class extra math homework. Let’s just say Harley wasn’t that popular after school.  This is Harley. Mrs. Jackson always says that someday math will save our lives, but I can’t see how it will. Maybe one day, four giant numbers will attack our school, and I will defeat them using an algebra equation… or maybe the numbers in my textbook will go bad, and start attacking all the words on the pages, and I will stop them using a calculator!

My bedroom looked very different the morning of my eighteenth birthday. It looked lonely. I opened my eyes just as the sun started creeping through the window, and I stared at the white chest of drawers that had greeted me every morning since I could remember. Maybe it’s stupid to think that a piece of furniture had feelings, but then again, I’m the same girl who kept my tattered old baby doll dressed in a sweater and knitted cap so she wouldn’t get cold sitting on the top shelf of my closet. And this morning that chest of drawers was looking sad. All the photographs and trophies and silly knickknacks that had blanketed the top and told my life story better than any words ever could were gone, packed in brown cardboard boxes and neatly stacked in the cellar. Even my pretty pink walls were bare. Mama picked that color after I was born, and I’ve never wanted to change it. Ruthis Morgan used to try to convince me that my walls should be painted some other color. ‘Pink’s just not your color, Catherine Grace. You know as well as I do that there’s not a speck of pink on the football field.’ There was nothing she could say that was going to change my mind of the color on my walls. If I had I would have lost another piece of my mama. And I wasn’t letting go of any piece of her, pink or not. Daddy insisted on replacing my tired, worn curtains a while back, but I threw such a fit that he spent a good seven weeks looking for the very same fabric, little bitsy pink flowers on a white -and-pink-checkered background. He finally found a few yards in some textile mill down in South Carolina. I told him there were a few things in life that should never be allowed to change, and my curtains were one of them. So many other things were never going to stay the same, and this morning was one of them. I’d been praying for this day for as long as I could remember, and now that it was here, all I wanted to do was crawl under my covers and pretend it was any other day. . . . I know that this would be the last morning I would wake up in this bed as a Sunday-school-going, dishwashing, tomato-watering member of this family. I knew this would be the last morning I would wake up in the same bed where I had calculated God only knows how many algebra problems, the same bed I had hid under playing hide-and-seek with Martha Ann, and the same bed I had lain on and cried myself to sleep too many nights after Mama died. I wasn’t sure how I was going to make it through the day considering I was having such a hard time just saying good-bye to my bed.

My days were filled with U.S. history and algebra. My nights were spent with history of movement and petite allegros. I might have been your average student during my typical school day, but after school, I was quickly becoming a master teacher. While my friends were looking for a future career in the guidance counselor’s office, I was proving to my colleagues that I had already found my true vocation.

Our educational systems need to give young people the opportunity to plug into curriculums that encourage them to rise to their full potential, take risks, embrace failure, and challenge the established norms wherever and whenever they can. The leaders of tomorrow will be so much more effective if they are taught to retain and refine that childlike curiosity for the unknown, rather than having it ‘schooled’ out of them, as seems still to be the case today in so many schools and universities. Secondary education should be encouraged to place greater emphasis on developing emotional intelligence, critical thinking, and real-life problem-solving skills – algebra and calculus don’t cut it – all of which are key traits of successful entrepreneurs and indeed successful adults in any walk of life.

Life Algebra 101 - I truly value my own ignorance of what is to come for me, It is those unknown variables the shape my future based on my knowns of today and yesterday.

But I can assume he wasn’t hugged a whole lot. His family didn’t pray before dinner. They didn’t go camping or snuggle together on the couch for movie night. I can assume his father never helped him with his algebra homework. I can guess that at least once, someone forgot to pick him up from school. I can guess that at some point in his life, no one was paying attention to what he watched on TV. And I can guess that he’s been smacked across the face by someone who should’ve known better, someone he trusted.

A new paradigm has come to centre stage: the future of our Earth and its atmosphere. Education systems now need to prepare a whole generation for a working life based on humans being able to coexist in balance with the very foundations of life. Why should we learn ethics? Because the coming years will be full of moral challenges. Why learn algebra? We will need to absorb hundreds of gigatons of CO2 and no one knows how to go about that right now. Why study poetry and ancient songs? Because poetry is the silver thread of the human spirit; without it, human existence is unthinkable.

From a purely mathematical perspective, a power law signifies nothing in particular—it’s just one of many possible kinds of algebraic relationship. But when a physicist sees a power law, his eyes light up. For power laws hint that a system may be organizing itself. They arise at phase transitions, when a system is poised at the brink, teetering between order and chaos. They arise in fractals, when an arbitrarily small piece of a complex shape is a microcosm of the whole.

Sontag, Susan (1967). "What's Happening to America? (A Symposium)". Partisan Review. 34 (1): 57–58. The truth is that Mozart, Pascal, Boolean algebra, Shakespeare, parliamentary government, baroque churches, Newton, the emancipation of women, Kant, Marx and Balanchine ballets don’t redeem what this particular civilization has wrought upon the world. The white race is the cancer of human history; it is the white race and it alone –its ideologies and inventions –which eradicates autonomous civilizations wherever it spreads, which has upset the ecological balance of the planet, which now threatens the very existence of life itself. What the Mongol hordes threaten is far less frightening than the damage that Western “Faustian” man, with his idealism, his magnificent art, his sense of intellectual adventure, his world-devouring energies for conquest, has already done, and further threatens to do.

And Ella starts rapping: Straight A's, good grades, that's the plan Study hard, top of the class Doing the best you can You won't need it but you're studying algebra Won't use Japanese, world history or calculus You follow the path they tell you to Go straight to college when you finish school If there's no scholarship take out a loan Clock up a debt kid, you're on your own Take all your stuff, you're leaving home The big wide world is yours to roam The crowd roars. She is seriously so good! Damon picks up his guitar and starts singing: But life can give us lemons and not ice cream And the path we take is not what it seems But we can't give up and cry and scream We have to turn up and change our dream Ella raps again: Science, physics and chemistry Make sure you ace your SATs Gotta get into an Ivy League Make my parents proud of me The say the road is straight and clear No need to wait, choose a career Doctor, lawyer, engineer Need to make a hundred grand a year And Damon sings: But life can give you lemons and not ice cream Find yourself against the current going upstream And all you wanna do is cry and scream Because you realize this ain't your dream You realize you have to change your dream Ella raps: Sat in class reading Romeo and Juliet But never understanding a word of it It's so old fashioned, it just doesn't fit You hate it so much, you wanna quit That's the stuff they think you need to learn But what happens when you crash and burn What happens when life deals you a blow What happens when you sink so low? And Damon sings: When life gives you lemons and not ice cream When you find yourself without a team When it throws you things that are too extreme When you can no longer chase your dream Then know it's time to change your dream And together they sing: When life gives you lemons and not ice cream When you wanna cry and shout and scream When you've fallen off your balance beam Then you know it's time to change your dream And you can do it You Can Change Your Dream

And why, after all, may not the world be so complex as to consist of many interpenetrating spheres of reality, which we can thus approach in alternation by using different conceptions and assuming different attitudes, just as mathematicians handle the same numerical and spatial facts by geometry, by analytical geometry, by algebra, by the calculus, or by quaternions, and each time come out right? On this view religion and science, each verified in its own way from hour to hour and from life to life, would be co-eternal.

Walking on these streets, until the night falls, my life feels to me like the life they have. By day they’re full of meaningless activity; by night they’re full of a meaningless lack of it. By day I am nothing, and by night I am I. There is no difference between me and these streets, save they being streets and I a soul, which perhaps is irrelevant when we consider the essence of things. There is an equal, abstract destiny for men and for things; both have an equally indifferent designation in the algebra of the world’s mystery.

Aunt B didn’t have a degree,” Ascanio volunteered. “Yes, she did,” Curran said. “She went to Agnes Scott and majored in psychology.” Ascanio stared out the window. “What’s the plan?” Curran asked. “You’re sixteen; you have to have a plan. Or are you going to let your mother pay your bills for the rest of your life?” “No.” Ascanio bit off the word. “Then I suggest you rethink algebra,” Curran said.

There are plenty of qualified advisers, so don’t deviate from these requirements. Don’t hire someone to guide you on the path to economic security because they were in your sorority pledge class or they get great sports tickets. It will be the most expensive Knicks game you’ve ever been to. Here’s the critical thing about advisers. You aren’t paying them for investment returns. Over the long term, nobody beats the market. And if someone does have the secret to above-market returns, they aren’t going to be sharing it with you for a fixed percentage. You’re paying an adviser for planning, accountability, and confidence. The more wealth you accumulate and the more complex your life gets, the more valuable these services become.

Chris Argyris, professor emeritus at Harvard Business School, wrote a lovely article in 1977,191 in which he looked at the performance of Harvard Business School graduates ten years after graduation. By and large, they got stuck in middle management, when they had all hoped to become CEOs and captains of industry. What happened? Argyris found that when they inevitably hit a roadblock, their ability to learn collapsed: What’s more, those members of the organization that many assume to be the best at learning are, in fact, not very good at it. I am talking about the well-educated, high-powered, high-commitment professionals who occupy key leadership positions in the modern corporation.… Put simply, because many professionals are almost always successful at what they do, they rarely experience failure. And because they have rarely failed, they have never learned how to learn from failure.… [T]hey become defensive, screen out criticism, and put the “blame” on anyone and everyone but themselves. In short, their ability to learn shuts down precisely at the moment they need it the most.192 [italics mine] A year or two after Wave, Jeff Huber was running our Ads engineering team. He had a policy that any notable bug or mistake would be discussed at his team meeting in a “What did we learn?” session. He wanted to make sure that bad news was shared as openly as good news, so that he and his leaders were never blind to what was really happening and to reinforce the importance of learning from mistakes. In one session, a mortified engineer confessed, “Jeff, I screwed up a line of code and it cost us a million dollars in revenue.” After leading the team through the postmortem and fixes, Jeff concluded, “Did we get more than a million dollars in learning out of this?” “Yes.” “Then get back to work.”193 And it works in other settings too. A Bay Area public school, the Bullis Charter School in Los Altos, takes this approach to middle school math. If a child misses a question on a math test, they can try the question again for half credit. As their principal, Wanny Hersey, told me, “These are smart kids, but in life they are going to hit walls once in a while. It’s vital they master geometry, algebra one, and algebra two, but it’s just as important that they respond to failure by trying again instead of giving up.” In the 2012–2013 academic year, Bullis was the third-highest-ranked middle school in California.194

When we first arrived at the school we received an extended introduction detailing what a wonderful place it was and how lucky we were to be there. But no one explained exactly why we were to be there. Yes, we understood the general objective was to accumulate knowledge, although learning Shakespeare and algebra did not strike us as particularly helpful to our future lives. I've yet to meet a single person who found a use for algebra in later life. The excuse proffered was that it developed intelligence. It struck me as extremely unintelligent not to give us the opportunity to study subjects that would be of practical use as well as develop our intelligence. I learned Boyle's law and Ohm's law parrot fashion without having a clue as to their meaning, yet left the school five years later incapable of changing a fuse or wiring a three-pin plug. Understandably, we formed the general impression that we were there for the same reason we were sent to Sunday school – to keep us out of mischief until we were old enough to work.

Friendship is something that gets harder to understand, every damn year of my life. Friendship is like a kind of algebra test that nobody passes. In my worst moods, I think the best you can say is that a friend is anyone you don’t despise.

The refusal to examine Islamic culture and traditions, the sordid dehumanization of Muslims, and the utter disregard for the intellectual traditions and culture of one of the world’s great civilizations are characteristic of those who disdain self-reflection and intellectual inquiry. Confronting this complexity requires work and study rather than a retreat into slogans and cliches. And enlightened, tolerant civilizations have flourished outside the orbit of the United Sates and Europe. The ruins of the ancient Mughal capital, Fatehpur Sikri, lie about 100 miles south of Delhi. The capital was constructed by the emperor Akbar the Great at the end of the sixteenth century. The emperor’s court was filled with philosophers, mystics and religious scholars, including Sunni, Sufi, and Shiite Muslims, Hindu followers of Shiva and Vishnu, as well as atheists, Christians, Jains, Jews , Buddhists and Zoroastrians. They debated ethics and beliefs. He forbade any person to be discriminated against on the basis of belief and declared that everyone was free to follow any religion. This took place as the Inquisition was at its height in Spain and Portugal, and as Giordano Bruno was being burnt at the stake in Rome’s Campo de Fiori. Tolerance, as well as religious and political plurality, is not exclusive to Western culture. The Judeo-Christian tradition was born and came to life in the Middle East. Its intellectual and religious beliefs were cultivated and formed in cities such as Jerusalem, Antioch, Alexandria and Constantinople. Many of the greatest tenets of Western civilization, as is true with Islam and Buddhism, are Eastern in origin. Our respect for the rule of law and freedom of expression, as well as printing, paper, the book, the translation and dissemination of the classical Greek philosophers, algebra, geometry and universities were given to us by the Islamic world. One of the first law codes was invented by the ancient Babylonian ruler Hammurabi, in what is now Iraq. One of the first known legal protections of basic freedoms and equality was promulgated in the third century B.C. by the Buddhist Indian emperor Ashoka. And, unlike, Aristotle, he insisted on equal rights for women and slaves. The division set up by the new atheists between superior Western, rational values and the irrational beliefs of those outside our tradition is not only unhistorical but untrue. The East and the West do not have separate, competing value systems. We do not treat life with greater sanctity than those we belittle and dismiss. Eastern and Western traditions have within them varied ethical systems, some of which are repugnant and some of which are worth emulating. To hold up the highest ideals of our own culture and to deny that these great ideals exist in other cultures, especially Eastern cultures, is made possible only by a staggering historical and cultural illiteracy. The civilization we champion and promote as superior is, in fact, a product of the fusion of traditions and beliefs of the Orient and the Occident. We advance morally and intellectually only when we cross these cultural lines, when we use the lens of other cultures to examine our own. It is then that we see our limitations, that we uncover the folly of or own assumptions and our prejudices. It is then that we achieve empathy, we learn and make wisdom possible.

My math teacher sucked as a kid in school. I'd ask him why do you do the problem that way and he would say "because the book says to do it." Later I learned algebra and advanced calculus because a guy explained the application to me. I now know that “If you can't explain it to a six-year-old, you don't understand it yourself.

She hated everything. The library with its pile of books full of explanations about life; the school that had forced her to spend whole evenings learning algebra, even though she didn’t know a single person, apart from teachers and mathematicians, who needed algebra in order to be happy.

To count the stones losing count is the sense of our life: the algebra of our displacements. To follow paths losing sense is the circumvolution, the evolution: the logic of our moments. But. No. There is no symmetry in our acts. Never the chance of steps that surprise us to salt. Our time machine. Forward. Never backward the meat machine. No turning back. No turning back. There is no remedy: death is an incurable asymmetry. Huge is the ticking of the Clock but but our time has the clutch, the vortex the saltwater of a wave that covers us. It reshapes and hollows out the face, like sand robs us of our flesh.

We have a problem and a problem demands a solution. Problem and solution—these two terms are inseparably connected to each other. It means if a person has a problem there is a certain method—it could be mathematical, algebra—that you can apply to this problem. What you get out of that is the solution. With that the problem is over. But it is not like that in human life. It is not like that with—now I am going to use the word myself—problems. Human problems, social problems, societal problems will never be solved... It is an illusion that some kind of problem will be solved.

Living on the Plains” That winter when this thought came-how the river held still every midnight and flowed backward a minute-we studied algebra late in our room fixed up in the barn, and I would feel the curved relation, the rafters upside down, and the cows in their life holding the earth round and ready to meet itself again when morning came. At breakfast while my mother stirred the cereal she said, "You're studying too hard," and I would include her face and hands in my glance and then look past my father's gaze as he told again our great race through the stars and how the world can't keep up with our dreams.

That kind of aura of ambivalence is carried over into Devil May Cry for, after all, Dante in the electronic game is still half-devil, and something brooding and smoldering inside him may yet emerge in future editions of the game. Games technology being what it is, players may in future be able to choose how good or how evil Dante will be. He will never lose his evil side completely. He even has a twin brother who seems destined to convert from evil to good and back again forever. Dante survives in his world of evil because he understands it. He understands it because it is part of him. It is part of his genetic drive. But he makes decisions in his life — rather, the players of the game can decide for him — as to what drives him most, a moral vision or a base, devilish autarky. The way he goes around ruthlessly slaying hordes of his half-cousins, I’d say the equation that makes up Dante is a set of sliding numbers and hypothetical values. For Dante, evil and good are an algebra. They are not absolutes. So it is not as simple as saying ‘there is good in everybody’, but is more to do with complex investigations and calculations as to how best to intersect.

Ibn Sina was born in a tiny settlement called Afshanah, outside the village of Kharmaythan, and soon after his birth his family moved to the nearby city of Bukhara. While he was still a small boy his father, a tax collector, arranged for him to study with a teacher of Qu’ran and a teacher of literature, and by the time he was ten he had memorized the entire Qu’ran and absorbed much of Muslim culture. His father met a learned vegetable peddler named Mahmud the Mathematician, who taught the child Indian calculation and algebra. Before the gifted youth grew his first facial hairs he had qualified in law and delved into Euclid and geometry, and his teachers begged his father to allow him to devote his life to scholarship. He began the study of medicine at eleven and by the time he was sixteen he was lecturing to older physicians and spending much of his time in the practice of law. All his life he would be both jurist and philosopher, but he noted that although these learned pursuits were given deference and respect by the Persian world in which he lived, nothing mattered more to an individual than his well-being and whether he would live or die. At an early age, fate made Ibn Sina the servant of a series of rulers who used his genius to guard their health, and though he wrote dozens of volumes on law and philosophy—enough to win him the affectionate sobriquet of Second Teacher (First Teacher being Mohammed)—it was as the Prince of Physicians that he gained the fame and adulation that followed him wherever he traveled. In Ispahan, where he had gone at

No, husbands are like algebra. Everyone says you’ll need one later in life, but it’s bullshit.

My colleague Aswath Damodaran says the best regulation is life lessons

My current self shakes her head at the naïveté of my Teen Self. Life was going to get so much bigger and more anxiety-inducing than how badly you do in algebra, girl.…

Life is an accumulation of decisions, large and small. It’s strange that “decision-making” isn’t a recognized discipline, a standard high school course. There should be a decision-making section in the bookstore. The second President Bush caught a lot of flak for describing his job as “I’m the decider,” but he was saying something profound about the job. The same thing Truman was saying with his the buck stops here desk plaque. In the White House, there’s an apparatus of experts who make all the easy decisions and most of the hard ones. The only decisions that get to the president’s desk are the brutal, unwinnable ones. In your life, you get those, too, plus no staff to make the other ones. So it’s worth putting some time into thinking about how you make decisions, and how you can make better ones.

To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives? — and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared to live more worthily and profitably?

Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra

Young people need looking after,” she said. “Think of that beautiful boy Galois. People felt there was something secret in his character. They were right. The secret was mathematics. His father a suicide. His own death a horrible farce. Dawn in the fields. Caped and whiskered seconds. Sinister marksman poised to fire.” I need all my courage to die at twenty. “Then there was Abel, not much older, desperately poor, Abel in delirium, hemorrhaging. So often mathematical experience consists of time segments too massive to be contained in the usual frame. Lives overstated. Themes pursued to extreme points. Adventure, romance and tragedy.” I will fight for my life. “Look at Pascal, who rid himself of physical pain by dwelling on mathematics. He was just a bit older than you when he constructed his mystic hexagram. The loveliest aspect of the mystic hexagram is that it is mystic. That’s what’s so lovely about it. It’s able to become its own shadow.” Keep believing it. “The tricky thing about mathematical genius,” she said, “is that its sources are so often buried. Galois for one. Ramanujan for another. No indication anywhere in their backgrounds that these boys would one day display such natural powers. Figures jumping out of sequence. Or completely misplaced.” (...) “Numbers have supernatural harmonies, according to Hermite. They exist beyond human thought. Divine order through number. Number as absolute reality. Someone said of Hermite: ‘The most abstract entities are for him like living creatures.’ That’s what someone said.” “People invented numbers,” he said. “You don’t have numbers without people.” “Good, let’s argue.” “I don’t want to argue.” “Secret lives,” she said. “Dedekind listed as dead twelve years before the fact. Poncelet scratching calculations on the walls of his cell. Lobachevski mopping the floors of an old museum. Sophie Germain using a man’s name. Do I have the order right? Sometimes I get it mixed up or completely backwards. (...) “Tell me about your mathematical dreams.” “Never had one.” “Cardano did, born half dead, his inner life a neon web of treachery and magic. Gambler, astrologer, heretic, court physician. Schemed his way through the algebra wars.” “Can I see the baby?” “Ramanujan had algebraic dreams. Wrote down the results after getting out of bed. Vast intuitive powers but poor education. Taken to Cambridge like a jungle boy. Sonja Kowalewski wasn’t allowed to attend university lectures. We both know why. When her husband died she spent days and days without food, coming out of her room only after she’d restored herself by working on her mathematics. Tell me, was it Kronecker who thought mathematics similar to poetry? I know Hamilton and many others tried their hands at verse. Our superduper Sonja preferred the novel.

Mathematics is objective and permanent. A² + B² = C² was true before Pythagoras had his name attached to it, and will be true when the sun goes out and no one is left to think of it. It is true for any alien life that might think of it, and true whether they think of it or not. It cannot be changed.

To really see America, you need to drive it mile by mile, because you not only begin to grasp the immensity of this beautiful country, you see the climate and geography change with every state line. THESE ARE INDEED THINGS THAT CANNOT BE LEARNED FROM AN OLD SCHOOLBOOK UNDER THE COLD CLASSROOM LIGHTS; THEY MUST BE SEEN, HEARD, AND FELT IN PERSON TO BE TRULY APPRECIATED. The education I was getting out here on the road proved to be far more valuable to me than any algebra or biology test I had ever failed, because I was discovering life firsthand, learning social and survival skills I still rely on to this day (e.g.,

Let it be said here that those who live their lives where life hangs by less than a thread understand the dreadful algebra of necessity, which has no mercy,

The fact of zero He added nonstop: Did you know that zero was not used throughout human history! Until 781 A.D, when it was first embodied and used in arithmetic equations by the Arab scholar Al-Khwarizmi, the founder of algebra. Algorithms took their name from him, and they are algorithmic arithmetic equations that you have to follow as they are and you will inevitably get the result, the inevitable result. And before that, across tens and perhaps hundreds of thousands of years, humans refused to deal with zero. While the first reference to it was in the Sumerian civilization, where inscriptions were found three thousand years ago in Iraq, in which the Sumerians indicated the existence of something before the one, they refused to deal with it, define it and give it any value or effect, they refused to consider it a number. All these civilizations, some of which we are still unable to decipher many of their codes, such as the Pharaonic civilization that refused to deal with zero! We see them as smart enough to build the pyramids with their miraculous geometry and to calculate the orbits of stars and planets with extreme accuracy, but they are very stupid for not defining zero in a way that they can deal with, and use it in arithmetic operations, how strange this really is! But in fact, they did not ignore it, but gave it its true value, and refused to build their civilizations on an unknown and unknown illusion, and on a wrong arithmetical frame of reference. Throughout their history, humans have looked at zero as the unknown, they refused to define it and include it in their calculations and equations, not because it has no effect, but because its true effect is unknown, and remaining unknown is better than giving it a false effect. Like the wrong frame of reference, if you rely on it, you will inevitably get a wrong result, and you will fall into the inevitability of error, and if you ignore it, your chance of getting it right remains. Throughout their history, humans have preferred to ignore zero, not knowing its true impact, while we simply decided to deal with it, and even rely on it. Today we build all our ideas, our civilization, our software, mathematics, physics, everything, on the basis that 1 + 0 equals one, because we need to find the effect of zero so that our equations succeed, and our lives succeed with, but what if 1 + 0 equals infinity?! Why did we ignore the zero in summation, and did not ignore it in multiplication?! 1×0 equals zero, why not one? What is the reason? He answered himself: There is no inevitable reason, we are not forced. Humans have lived throughout their ages without zero, and it did not mean anything to them. Even when we were unable to devise any result that fits our theorems for the quotient of one by zero, then we admitted and said unknown, and ignored it, but we ignored the logic that a thousand pieces of evidence may not prove me right, and one proof that proves me wrong. Not doing our math tables in the case of division, blowing them up completely, and with that, we decided to go ahead and built everything on that foundation. We have separated the arithmetic tables in detail at our will, to fit our calculations, and somehow separate the whole universe around us to fit these tables, despite their obvious flaws. And if we decide that the result of one multiplied by zero is one instead of zero, and we reconstruct the whole world on this basis, what will happen? He answered himself: Nothing, we will also succeed, the world, our software, our thoughts, our dealings, and everything around us will be reset according to the new arithmetic tables. After a few hundred years, humans will no longer be able to understand that one multiplied by zero equals zero, but that it must be one because everything is built on this basis.