Algebra Sayings Quotes

THE FIRST TEN LIES THEY TELL YOU IN HIGH SCHOOL 1. We are here to help you. 2. You will have time to get to your class before the bell rings. 3. The dress code will be enforced. 4. No smoking is allowed on school grounds. 5. Our football team will win the championship this year. 6. We expect more of you here. 7. Guidance counselors are always available to listen. 8. Your schedule was created with you in mind. 9. Your locker combination is private. 10. These will be the years you look back on fondly. TEN MORE LIES THEY TELL YOU IN HIGH SCHOOL 1. You will use algebra in your adult lives. 2. Driving to school is a privilege that can be taken away. 3. Students must stay on campus during lunch. 4. The new text books will arrive any day now. 5. Colleges care more about you than your SAT scores. 6. We are enforcing the dress code. 7. We will figure out how to turn off the heat soon. 8. Our bus drivers are highly trained professionals. 9. There is nothing wrong with summer school. 10. We want to hear what you have to say.

I imagine you working on me as an algebra problem, reducing me to fractions, crossing out common denominators, until there's nothing left on the page but a line that says x = whatever it is that is wrong with me.

What grinds me the most is we're sending kids out into the world who don't know how to balance a checkbook, don't know how to apply for a loan, don't even know how to properly fill out a job application, but because they know the quadratic formula we consider them prepared for the world` With that said, I'll admit even I can see how looking at the equation x -3 = 19 and knowing x =22 can be useful. I'll even say knowing x =7 and y= 8 in a problem like 9x - 6y= 15 can be helpful. But seriously, do we all need to know how to simplify (x-3)(x-3i)?? And the joke is, no one can continue their education unless they do. A student living in California cannot get into a four-year college unless they pass Algebra 2 in high school. A future psychologist can't become a psychologist, a future lawyer can't become a lawyer, and I can't become a journalist unless each of us has a basic understanding of engineering. Of course, engineers and scientists use this shit all the time, and I applaud them! But they don't take years of theater arts appreciation courses, because a scientist or an engineer doesn't need to know that 'The Phantom of the Opoera' was the longest-running Broadway musical of all time. Get my point?

Everyone keeps saying I’ll pick it up. But what if I don’t? I did algebra for three years, and I never picked that up.

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.

Nature Lesson The dress code says we must cover ourselves in ample pants, skirts that reach well below our lascivious knees, polos buttoned over the rim of the canyon, a glimpse of which can send a boy plunging to such depths he may never climb back up to algebra. We say that if a hiker strays off the path, trips, and winds up crippled, is it really the canyon's fault?

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.

Algebra is the offer made by the devil to the mathematician. The devil says: I will give you this powerful machine, it will answer any question you like. All you need to do is give me your soul: give up geometry and you will have this marvelous machine.

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.

A guy's calling to say he's failing algebra II. Just as a point of practice, I say, Kill yourself. A woman calls and says her kids won't behave. Without missing a beat, I tell her, Kill yourself. A man calls to say his car won't start. Kill yourself. A woman calls to ask what time the late movie starts. Kill yourself. She asks, "Isn't this 555-1327? Is this the Moorehouse CinePlex? I say, Kill yourself. Kill yourself. Kill yourself.

Noah was no longer at my side when I turned. He had Kent from algebra pinned against the car. "I should injure you considerably," he said in a low voice "Dude, chill." Kent was completely calm. "Noah," I heard myself say. "Its not worth it." Noah's eyes narrowed, but apon hearing my voice, he released Kent who straightened his shirt and brushed the front of his khakis. "Get fucked, Kent," Noah said as he turned away. The idiot laughed, "Oh, I will." Noah whirled around and I heard the unmistakable impact of knuckles meeting face. Kent was on the concrete, his hands clutching his nose. When he started to get up, Noah said, "I wouldn't. I'm barely above kicking the shit out of you on the ground. Barely." "You broke my nose!" Blood streamed down Kents shirt and a crowd formed a small circle around the three of us. A teacher parted the throng and called out, "Principals office NOW, Shaw." Noah ignored him and walked over to me, inordinately calm. He placed his good hand on the small of my back and my legs threatened to dissolve. The bell rang and I looked at Noah as he leaned in and brushed his lips against my ear. He whispered into my hair, "It was worth it." - The Unbecoming Of Mara Dyer

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.

the mystic must be steadily told,—All that you say is just as true without the tedious use of that symbol as with it. Let us have a little algebra, instead of this trite rhetoric,—universal signs, instead of these village symbols,—and we shall both be gainers. The history of hierarchies seems to show that all religious error consisted in making the symbol too stark and solid, and was at last nothing but an excess of the organ of language.

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

It’s sort of weird to be hugged by your Algebra teacher. That’s all I have to say.

If other people thought art was important, then it would be required to graduate. But no, I don’t have to take art. I do have to take math, which is just a waste of time because the numbers get all switched up in my brain, plus, calculators exist for a reason. I do have to take history, which is basically memorizing tariff acts till your brain bleeds. I do have to take four years of gym class with a bunch of jerks who punch me if they don’t like what I say. But art? Optional. Even though art and music and literature and all that are what make us human. Algebra doesn’t make us human. Games don’t make us human.

I didn't know how to act; whether to make eye contact, how long to look at her, how close to walk. I didn't talk to people much, except Jake and Val, and with them I could talk about anything. What were you supposed to say to people you barely knew? That was the kind of thing I needed lessons in - forget algebra and history.

By crossing into a space whose curvature is no longer that of the real, nor that of truth, the era of simulation is inaugurated by a liquidation of all referentials - worse: with their artificial resurrection in the systems of signs, a material more malleable than meaning, in that it lends itself to all systems of equivalences, to all binary oppositions, to all combinatory algebra. It is no longer a question of imitation, nor duplication, nor even parody. It is a question of substituting the signs of the real for the real, that is to say of an operation of deterring every real process via its operational double, a programmatic, metastable, perfectly descriptive machine that offers all the signs of the real and shortcircuits all its vicissitudes.

Simply changing one three-letter word can often spell the difference between failure and success in changing people without giving offense or arousing resentment. Many people begin their criticism with sincere praise followed by the word “but” and ending with a critical statement. For example, in trying to change a child’s careless attitude toward studies, we might say, “We’re really proud of you, Johnnie, for raising your grades this term. But if you had worked harder on your algebra, the results would have been better.” In this case, Johnnie might feel encouraged until he heard the word “but.” He might then question the sincerity of the original praise. To him, the praise seemed only to be a contrived lead-in to a critical inference of failure. Credibility would be strained, and we probably would not achieve our objectives of changing Johnnie’s attitude toward his studies. This could be easily overcome by changing the word “but” to “and.” “We’re really proud of you, Johnnie, for raising your grades this term, and by continuing the same conscientious efforts next term, your algebra grade can be up with all the others.

We had algebra together, right?” “Yeah.” That was two years ago. I only vaguely remember him. Something about circles. “Didn’t you draw perfect circles?” “That’s what I’m known for.” “Really?” Erin goes, all excited about the circles. Jason says, “No, it’s just this one time I went up to the board and I had to draw a circle and it came out really . . . round.” “Which is always a good thing, when you’re drawing a circle,” I say. “Exactly.” Jason smiles at me. “It was more than one time,” I remind him. For some reason, it’s all coming back to me now. “It was more like three or four times.” “What can I say?” Jason goes. “You got me.” Now we’re both smiling.

I’d say that the only thing worth globalizing is dissent. It’s India’s best export.

There have been complaints?' said Miss Susan. 'Er, no ... er ... although Miss Smith has told me that the children coming up from your class are, er, restless. Their reading ability is, she says, rather unfortunately advanced ...' 'Miss Smith thinks a good book is about a boy and his dog chasing a big red ball,' said Miss Susan. 'My children have learned to expect a plot. No wonder they get impatient. We're reading Grim Fairy Tales at the moment.' 'That is rather rude of you, Susan.' 'No, madam. That is rather polite of me. It would have been rude of me to say that there is a circle of Hell reserved for teachers like Miss Smith.' 'But that's a dreadf---' Madam Frout stopped, and began again. 'You should not be teaching them to read at all yet!' she snapped. [...] 'I mean,' the headmistress mumbled, 'childhood is a time for play and---' 'Learning,' said Miss Susan. 'Learning through play,' said Madam Frout, grateful to find familiar territory. 'After all, kittens and puppies---' '---grow up to be cats and dogs, which are even less interesting,' said Miss Susan, 'whereas children should grow up to be adults.'" [...] 'What precisely was it you wanted, madam?' she said. It's just that I've left the class doing algebra, and they get restless when they've finished.' 'Algebra?' said Madam Frout [...] 'But that's far too difficult for seven-year-olds!' 'Yes, but I didn't tell them that and so far they haven't found out,' said Susan.

Work/Loaf Ratio”...I have spent fourteen years perfecting... I won't bore you with a long-winded explanation of the “W/LR” save to say that it is an algebraic formula of such complex numeric subtlety that it can be understood only by mathematicians and hobos.

TEN MORE LIES THEY TELL YOU IN HIGH SCHOOL 1. You will use algebra in your adult lives. 2. Driving to school is a privilege that can be taken away. 3. Students must stay on campus during lunch. 4. The new text books will arrive any day now. 5. Colleges care more about you than your SAT scores. 6. We are enforcing the dress code. 7. We will figure out how to turn off the heat soon. 8. Our bus drivers are highly trained professionals. 9. There is nothing wrong with summer school. 10. We want to hear what you have to say.

remedial work needed? It often is. In my introductory political science classes, I encounter far too many students who cannot write coherently. I would like to think this is being remedied in composition courses, since without that competence they can’t do college-level work. But it’s quite another thing to say that all undergraduates need advanced algebra to proceed toward their degrees.

there are teachers who without much fanfare take the students who others say “can't”—can't read great literature, can't do algebra or calculus, can't and don't want to learn—and turn them into scholars who can.

Mathematicians call it “the arithmetic of congruences.” You can think of it as clock arithmetic. Temporarily replace the 12 on a clock face with 0. The 12 hours of the clock now read 0, 1, 2, 3, … up to 11. If the time is eight o’clock, and you add 9 hours, what do you get? Well, you get five o’clock. So in this arithmetic, 8 + 9 = 5; or, as mathematicians say, 8 + 9 ≡ 5 (mod 12), pronounced “eight plus nine is congruent to five, modulo twelve.

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 like you when you're algebraic," said Ulf--and immediately regretted it. It was a flirtatious remark--describing somebody as algebraic was undoubtedly to cross a line. You would not normally describe an ordinary friend as algebraic, and then say that you liked her that way.

Someties it is hard to criticize, one wants only to chronicle. The good and mediocre books come in from week to week, and I put them aside and read them and think of what to say; but the "worthless" books come in day after day, like the cries and truck sounds from the street, and there is nothing that anyone could think of that is good enough for them. In the bad type of thin pamphlets, in hand-set lines on imported paper, people's hard lives and hopeless ambitions have expressed themselves more directly and heartbreakingly than they have ever expressed in any work of art:. it is as if the writers had sent you their ripped-out arms and legs, with "This is a poem" scrawled on them in lipstick. After a while one is embarrassed not so much for them as for poetry, which is for these poor poets one more of the openings against which everyone in the end beats his brains out; and one finds it unbearable that poetry should be so hard to write - a game of Pin the Tail on the Donkey in which there is for most of the players no tail, no donkey, not even a booby prize. If there were only some mechanism (like Seurat's proposed system of painting, or the projected Universal Algebra that Gödel believes Leibnitz to have perfected and mislaid) for reasonably and systematically converting into poetry what we see and feel and are! When one reads the verse of people who cannot write poems - people who sometimes have more intelligence, sensibility, and moral discrimination than most of the poets - it is hard not to regard the Muse as a sort of fairy godmother who says to the poet, after her colleagues have showered on him the most disconcerting and ambiguous gifts, "Well, never mind. You're still the only one that can write poetry.

There is a mathematical underpinning that you must first acquire, mastery of each mathematical subdiscipline leading you to the threshold of the next. In turn you must learn arithmetic, Euclidian geometry, high school algebra, differential and integral calculus, ordinary and partial differential equations, vector calculus, certain special functions of mathematical physics, matrix algebra, and group theory. For most physics students, this might occupy them from, say, third grade to early graduate school—roughly 15 years. Such a course of study does not actually involve learning any quantum mechanics, but merely establishing the mathematical framework required to approach it deeply.

There have been complaints?' said Miss Susan. 'Er, no ... er ... although Miss Smith has told me that the children coming up from your class are, er, restless. Their reading ability is, she says, rather unfortunately advanced ...' 'Miss Smith thinks a good book is about a boy and his dog chasing a big red ball,' said Miss Susan. 'My children have learned to expect a plot. No wonder they get impatient. We're reading Grim Fairy Tales at the moment.' 'That is rather rude of you, Susan.' 'No, madam. That is rather polite of me. It would have been rude of me to say that there is a circle of Hell reserved for teachers like Miss Smith.' 'But that's a dreadf-' Madam Frout stopped, and began again. 'You should not be teaching them to read at all yet!' she snapped. [...] 'I mean,' the headmistress mumbled, 'childhood is a time for play and-' 'Learning,' said Miss Susan. 'Learning through play,' said Madam Frout, grateful to find familiar territory. 'After all, kittens and puppies -' ' -grow up to be cats and dogs, which are even less interesting,' said Miss Susan, 'whereas children should grow up to be adults.' [...] 'What precisely was it you wanted, madam?' she said. It's just that I've left the class doing algebra, and they get restless when they've finished.' 'Algebra?' said Madam Frout [...] 'But that's far too difficult for seven-year-olds!' 'Yes, but I didn't tell them that and so far they haven't found out,' said Susan.

The earliest known work in Arabic arithmetic was written by al-Khowârizmî, a mathematician who lived around 825, some four hundred years before Fibonacci.11 Although few beneficiaries of his work are likely to have heard of him, most of us know of him indirectly. Try saying “al-Khowârizmî” fast. That’s where we get the word “algorithm,” which means rules for computing.12 It was al-Khowârizmî who was the first mathematician to establish rules for adding, subtracting, multiplying, and dividing with the new Hindu numerals. In another treatise, Hisâb al-jabr w’ almuqâbalah, or “Science of transposition and cancellation,” he specifies the process for manipulating algebraic equations. The word al-jabr thus gives us our word algebra, the science of equations.13

Forget it, we can do it another time.” I turn around to go back into my parents’ room, but Mom catches my hand. She knows I may never feel ready to do this, that I may keep finding excuses to push this off until long after my dad is gone, and then maybe I’ll go to his grave and come out. But the time has to be now so I can feel as comfortable in my home as I am chilling with Collin. “Mark,” Mom says again. His eyes are still on the TV. I take a deep breath. “Dad, I hope you’re cool with this, but I sort of, kind of am dating someone and . . .” I can already see him getting confused, like I’m challenging him to solve an algebraic equation with no pen, paper, or calculator. “And that someone is my friend Collin.” Only then does Dad turn toward us. His face immediately goes from confused to furious. You would think the Yankees not only lost the game but also decided to give up and retire the team forever. He points his cigarette at Mom. “This is all your doing. You have to be the one to tell him he’s wrong.” He’s talking about me like I’m not even in the room. “Mark, we always said we would love our kids no matter what, and—” “Empty fucking promise, Elsie. Make him cut it out or get him out of here.” “If there’s something about homosexuality you don’t understand, you can talk to your son about it in a kind way,” Mom says, maintaining a steady tone that’s both fearless for me and respectful toward Dad. We all know what he’s capable of. “If you want to ignore it or need time, we can give that to you, but Aaron isn’t going anywhere.” Dad places his cigarette in the ashtray and then kicks over the hamper he was resting his feet on. We back up. I don’t often wish this, but I really, really wish Eric were here right now in case this gets as ugly as I think it might. He points his finger at me. “I’ll fucking throw him out myself.

He says we will graduate knowing how to read and write because we'll spend a million hours learning how to read and write. "Why not spend that time on art: painting, sculpting, charcoal, pastel, oils? Are words or numbers more important than images? Who decided this? Does algebra move you to tears?" (Hands raise, thinking he wants answers.) "Can the plural possessive express the feelings in your heart? If you don't learn art now, you will never learn to breathe!!!

TEN MORE LIES THEY TELL YOU IN HIGH SCHOOL 1. You will use algebra in your adult lives. 2. Driving to school is a privilege that can be taken away. 3. Students must stay on campus for lunch. 4. The new textbooks will arrive any day now. 5. Colleges care about more than your SAT scores. 6. We are enforcing the dress code. 7. We will figure out how to turn off the heat soon. 8. Our bus drivers are highly trained professionals. 9. There is nothing wrong with summer school. 10. We want to hear what you have to say.

A guy’s calling to say he’s failing Algebra II. Just as a point of practice, I say, Kill yourself. A woman calls and says her kids won’t behave. Without missing a beat, I tell her, Kill yourself. A man calls to say his car won’t start. Kill yourself. A woman calls to ask what time the late movie starts. Kill yourself. She asks, “Isn’t this 555-1327? Is this the Moorehouse CinePlex?” I say, Kill yourself. Kill yourself. Kill yourself. A girl calls and asks, “Does it hurt very much to die?” Well, sweetheart, I tell her, yes, but it hurts a lot more to keep living.

In their writing on education, Deci and Ryan proceed from the principle that humans are natural learners and children are born creative and curious, “intrinsically motivated for the types of behaviors that foster learning and development.” This idea is complicated, however, by the fact that part of learning anything, be it painting or programming or eighth-grade algebra, involves a lot of repetitive practice, and repetitive practice is usually pretty boring. Deci and Ryan acknowledge that many of the tasks that teachers ask students to complete each day are not inherently fun or satisfying; it is the rare student who feels a deep sense of intrinsic motivation when memorizing her multiplication tables. It is at these moments that extrinsic motivation becomes important: when behaviors must be performed not for the inherent satisfaction of completing them, but for some separate outcome. Deci and Ryan say that when students can be encouraged to internalize those extrinsic motivations, the motivations become increasingly powerful. This is where the psychologists return to their three basic human needs: autonomy, competence, and relatedness. When teachers are able to create an environment that promotes those three feelings, they say, students exhibit much higher levels of motivation. And how does a teacher create that kind of environment? Students experience autonomy in the classroom, Deci and Ryan explain, when their teachers “maximize a sense of choice and volitional engagement” while minimizing students’ feelings of coercion and control. Students feel competent, they say, when their teachers give them tasks that they can succeed at but that aren’t too easy — challenges just a bit beyond their current abilities. And they feel a sense of relatedness when they perceive that their teachers like and value and respect them.

Entirely my own opinion,” said Ivanov. “I am glad that we have reached the heart of the matter soon. In other words: you are convinced that “we” – that is to say, the Party, the State and the masses behind it – no longer represent the interests of the Revolution.” “I should leave the masses out of it,” said Rubashov. […] “Leave the masses out of it, “ he repeated. “You understand nothing about them. Nor, probably, do I any more. Once, when the great “we” still existed, we understood them as no one had ever understood them before. We had penetrated into their depths, we worked in the amorphous raw material of history itself…” […] “At that time,” Rubashov went on, “we were called the Party of the Plebs. What did the others know of history? Passing ripples, little eddies and breaking waves. They wondered at the changing forms of the surface and could not explain them. But we had descended into the depths, into the formless, anonymous masses, which at all times constituted the substance of history; and we were the first to discover her laws of motion. We had discovered the laws of her inertia, of the slow changing of her molecular structure, and of her sudden eruptions. That was the greatness of our doctrine. The Jacobins were moralists; we were empirics. We dug in the primeval mud of history and there we found her laws. We knew more than ever men have known about mankind; that is why our revolution succeeded. And now you have buried it all again….” […] “Well,” said Rubashov, “one more makes no difference. Everything is buried: the men, their wisdom and their hopes. You killed the “We”; you destroyed it. Do you really maintain that the masses are still behind you? Other usurpers in Europe pretend the same thing with as much right as you….” […] “Forgive my pompousness,” he went on, “but do you really believe the people are still behind you? It bears you, dumb and resigned, as it bears others in other countries, but there is no response in their depths. The masses have become deaf and dumb again, the great silent x of history, indifferent as the sea carrying the ships. Every passing light is reflected on its surface, but underneath is darkness and silence. A long time ago we stirred up the depths, but that is over. In other words” – he paused and put on his pince-nez – “in those days we made history; now you make politics. That’s the whole difference.” […] "A mathematician once said that algebra was the science for lazy people - one does not work out x, but operates with it as if one knew it. In our case, x stands for the anonymous masses, the people. Politics mean operating with this x without worrying about its actual nature. Making history is to recognize x for what it stands for in the equation." "Pretty," said Ivanov. "But unfortunately rather abstract. To return to more tangible things: you mean, therefore, that "We" - namely, Party and State - no longer represent the interests of the Revolution, of the masses or, if you like, the progress of humanity." "This time you have grasped it," said Rubashov smiling. Ivanov did not answer his smile.

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.

When Benjamin Bloom studied his 120 world-class concert pianists, sculptors, swimmers, tennis players, mathematicians, and research neurologists, he found something fascinating. For most of them, their first teachers were incredibly warm and accepting. Not that they set low standards. Not at all, but they created an atmosphere of trust, not judgment. It was, “I’m going to teach you,” not “I’m going to judge your talent.” As you look at what Collins and Esquith demanded of their students—all their students—it’s almost shocking. When Collins expanded her school to include young children, she required that every four-year-old who started in September be reading by Christmas. And they all were. The three- and four-year-olds used a vocabulary book titled Vocabulary for the High School Student. The seven-year-olds were reading The Wall Street Journal. For older children, a discussion of Plato’s Republic led to discussions of de Tocqueville’s Democracy in America, Orwell’s Animal Farm, Machiavelli, and the Chicago city council. Her reading list for the late-grade-school children included The Complete Plays of Anton Chekhov, Physics Through Experiment, and The Canterbury Tales. Oh, and always Shakespeare. Even the boys who picked their teeth with switchblades, she says, loved Shakespeare and always begged for more. Yet Collins maintained an extremely nurturing atmosphere. A very strict and disciplined one, but a loving one. Realizing that her students were coming from teachers who made a career of telling them what was wrong with them, she quickly made known her complete commitment to them as her students and as people. Esquith bemoans the lowering of standards. Recently, he tells us, his school celebrated reading scores that were twenty points below the national average. Why? Because they were a point or two higher than the year before. “Maybe it’s important to look for the good and be optimistic,” he says, “but delusion is not the answer. Those who celebrate failure will not be around to help today’s students celebrate their jobs flipping burgers.… Someone has to tell children if they are behind, and lay out a plan of attack to help them catch up.” All of his fifth graders master a reading list that includes Of Mice and Men, Native Son, Bury My Heart at Wounded Knee, The Joy Luck Club, The Diary of Anne Frank, To Kill a Mockingbird, and A Separate Peace. Every one of his sixth graders passes an algebra final that would reduce most eighth and ninth graders to tears. But again, all is achieved in an atmosphere of affection and deep personal commitment to every student. “Challenge and nurture” describes DeLay’s approach, too. One of her former students expresses it this way: “That is part of Miss DeLay’s genius—to put people in the frame of mind where they can do their best.… Very few teachers can actually get you to your ultimate potential. Miss DeLay has that gift. She challenges you at the same time that you feel you are being nurtured.

Look.I'm...uh...When you told me you'd looked at my stuff.I didn't...I shouldn't have..." What is it about those two words-I'm sorry-that makes otherwise articulate guys into babbling idiots? I mean, I love you, I get. That's a tough one, putting yourself so completely, nakedly out there. I haven't ever said that to a guy. A guy other than Frankie or my dad, anyway. But I'm sorry? I say it twenty times a day.To Nonna, when I just can't face a three-course breakfast at seven in the morning, to the half-dozen people I bump into on my frantic rush up those eight blocks to school. To Sadie, for having to copy her algebra homework for,like,the thousandth time, because I didn't get to mine. I'm still waiting for Leo to apologize for totalling my bike three years ago. I forgave him eventually. Riding a bike in the middle of the city is a little like playing RUssian roulette with a bus. Still, it would have been nice t have gotten an I'm sorry instead of a litany of excuses. I figure I'll be waiting forever.

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?

The existence of God is a matter of feeling! It is not a formula of algebra that we sit down and prove! If we carefully observe the humans, animals, nature etc., then the existence of God can certainly be felt. Say, I mentioned in one of my Facebook posts that the 4 fingers of our hands are located side by side but one finger, that is, the thumb is much away from other fingers, structurally small and much different compared to other fingers. Now, it would be foolishness to say that the location of the thumb is such by coincidence. God knows it well that if all the fingers in the hands were of same size and structure, then it would be rather difficult or impossible for us to hold anything or do any work! So, He placed the thumb of our hands in the distance. It would be clearer if I explain it in a different way. As the parents become exceedingly cautious about the newly born baby, its spontaneous feeding, walking, talking etc. are carefully monitored by them, likewise, God has given the specific formation, shape and structure to the humans and all the animals by keeping their overall well-being, advantages and easiness in mind!

If literature were nothing more than verbal algebra, anyone could produce any book by essaying variations. The lapidary formula 'Everything flows' abbreviates in two words the philosophy of Heraclitus: Raymond Lully would say that, with the first word given, it would be sufficient to essay the intransitive verbs to discover the second and obtain, thanks to methodical chance, that philosophy and many others. Here it is fitting to reply that the formula obtained by this process of elimination would lack all value and even meaning; for it to have some virtue we must conceive it in terms of Heraclitus, in terms of an experience of Heraclitus, even though 'Heraclitus is nothing more than the presumed subject of that experience. I have said that a book is a dialogue, a form of relationship; in a dialogue, an interlocutor is not the sum or average of what he says: he may not speak and still reveal that he is intelligent, he may emit intelligent observations and reveal his stupidity. The same happens with literature; d'Artagnan executes innumerable feats and Don Quixote is beaten and ridiculed, but one feels the valour of Don Quixote more.

Hume begins by distinguishing seven kinds of philosophical relation: resemblance, identity, relations of time and place, proportion in quantity or number, degrees in any quality, contrariety, and causation. These, he says, may be divided into two kinds: those that depend only on the ideas, and those that can be changed without any change in the ideas. Of the first kind are resemblance, contrariety, degrees in quality, and proportions in quantity or number. But spatio-temporal and causal relations are of the second kind. Only relations of the first kind give certain knowledge; our knowledge concerning the others is only probable. Algebra and arithmetic are the only sciences in which we can carry on a long chain of reasoning without losing certainty. Geometry is not so certain as algebra and arithmetic, because we cannot be sure of the truth of its axioms. It is a mistake to suppose, as many philosophers do, that the ideas of mathematics 'must be comprehended by a pure and intellectual view, of which the superior faculties of the soul are alone capable'. The falsehood of this view is evident, says Hume, as soon as we remember that 'all our ideas are copied from our impressions'. The three relations that depend not only on ideas are identity, spatio-temporal relations, and causation. In the first two, the mind does not go beyond what is immediately present to the senses. (Spatio-temporal relations, Hume holds, can be perceived, and can form parts of impressions.) Causation alone enables us to infer some thing or occurrence from some other thing or occurrence: "'Tis only causation, which produces such a connexion, as to give us assurance from the existence or action of one object, that 'twas followed or preceded by any other existence or action.

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.

I’m mean? That’s the worst you can throw at me?” “Mean and self-pitying. Does that make it better?” “And what are you, Astrid?” he shouted. “A smug know-it-all! You point your finger at me and say, ‘Hey, Sam, you make the decisions, and you take all the heat.’” “Oh, it’s my fault? No way. I didn’t anoint you.” “Yeah, you did, Astrid. You guilted me into it. You think I don’t know what you’re all about? You used me to protect Little Pete. You use me to get your way. You manipulate me anytime you feel like it.” “You really are a jerk, you know that?” “No, I’m not a jerk, Astrid. You know what I am? I’m the guy getting people killed,” Sam said quietly. Then, “My head is exploding from it. I can’t get my brain around it. I can’t do this. I can’t be that guy, Astrid, I’m a kid, I should be studying algebra or whatever. I should be hanging out. I should be watching TV.” His voice rose, higher and louder till he was screaming. “What do you want from me? I’m not Little Pete’s father. I’m not everybody’s father. Do you ever stop to think what people are asking me to do? You know what they want me to do? Do you? They want me to kill my brother so the lights will come back on. They want me to kill kids! Kill Drake. Kill Diana. Get our own kids killed. “That’s what they ask. Why not, Sam? Why aren’t you doing what you have to do, Sam? Tell kids to get eaten alive by zekes, Sam. Tell Edilio to dig some more holes in the square, Sam.” He had gone from yelling to sobbing. “I’m fifteen years old. I’m fifteen.” He sat down hard on the edge of the bed. “Oh, my God, Astrid. It’s in my head, all these things. I can’t get rid of them. It’s like some filthy animal inside my head and I will never, ever, ever get rid of it. It makes me feel so bad. It’s disgusting. I want to throw up. I want to die. I want someone to shoot me in the head so I don’t have to think about everything.” Astrid was beside him, and her arms were around him. He was ashamed, but he couldn’t stop the tears. He was sobbing like he had when he was a little kid, like when he had a nightmare. Out of control. Sobbing. Gradually the spasms slowed. Then stopped. His breathing went from ragged to regular. “I’m really glad the lights weren’t on,” Sam said. “Bad enough you had to hear it.” “I’m falling apart,” he said. Astrid gave no answer, just held him close. And after what felt like a very long time, Sam moved away from her, gently putting distance between them again. “Listen. You won’t ever tell anyone…” “No. But, Sam…” “Please don’t tell me it’s okay,” Sam said. “Don’t be nice to me anymore. Don’t even tell me you love me. I’m about a millimeter from falling apart again.” “Okay.

But Archimedes wished to determine how much silver and how much gold were in the crown, and here he found that algebra would help him. He supposed that the crown, which, let us say, weighed ten pounds, was made up of w1 pounds of silver and w2 pounds of gold. He found that ten pounds of pure silver displaced thirty cubic inches of water. Hence, w1 pounds of silver would displace (w1/10) · 30 or 3 w1 cubic inches of water. Since ten pounds of pure gold

displaced fifteen cubic inches of water, w2 pounds of gold would displace (w2/10) · 15 or (3/2)w2 cubic inches of water. Hence the crown should displace cubic inches of water. Archimedes measured the volume of water that the crown displaced and found it to be, let us say, twenty cubic inches. Hence he knew that (3) He also knew that (4) Archimedes now had two equations involving two unknowns and he proceeded to apply the machinery of algebra to find them. He multiplied both sides of equation (4) by 3 to obtain

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.

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.

Wish there were a “good news” channel? I usually have news stations humming in the background to keep up with worldwide events, but that constant white noise is sometimes like a cloud descending on the home. I defined for Piper the term “pet peeve” a few years ago. “Got it, Mom,” she responded. “My ‘pet peeve’ then is Fox News.” Yikes. I turned the volume down after that one slapped me upside the head. From crazy politicians pushing treaties with terrorist nations to thugs trashing neighborhood Walgreens in the name of “free speech,” bad news is exhausting. Some days it would be nice just to hear about Joe Six Pack and his hardworking family and his kid who got an “A” in Algebra today. Jesus tells of weeds thrown by the enemy into a field of good seed. Those weeds remind me of all the bad news we hear about in the media. As the time draws nearer to the return of Jesus, the Bible says the hearts of man will become increasingly hardened and they will refuse to repent of their crimes (Rev. 9:21). Sorcery, murder, immorality, and theft will rise, while at the same time God’s followers are called to stand firm in righteousness. Both the good seed and the bad seed will grow to fullness, until the final harvest of the “wheat.” At the great harvest, according to the Word, the Lord will take up the weeds to burn them, while gathering the wheat unto Him. SWEET FREEDOM IN Action Today, stand strong in the midst of weeds; mute the droning on and on of constant bad news; and anticipate that this era’s closing comments get very good for believers!

What were you supposed to say to people you barely knew? That was the kind of thing I needed lessons in - forget algebra and history.

But the laws of the schools were aimed at something distant and vague. What did it mean to, as our elders told us, “grow up and be somebody”? And what precisely did this have to do with an education rendered as rote discipline? To be educated in my Baltimore mostly meant always packing an extra number 2 pencil and working quietly. Educated children walked in single file on the right side of the hallway, raised their hands to use the lavatory, and carried the lavatory pass when en route. Educated children never offered excuses—certainly not childhood itself. The world had no time for the childhoods of black boys and girls. How could the schools? Algebra, Biology, and English were not subjects so much as opportunities to better discipline the body, to practice writing between the lines, copying the directions legibly, memorizing theorems extracted from the world they were created to represent. All of it felt so distant to me. I remember sitting in my seventh-grade French class and not having any idea why I was there. I did not know any French people, and nothing around me suggested I ever would. France was a rock rotating in another galaxy, around another sun, in another sky that I would never cross. Why, precisely, was I sitting in this classroom? The question was never answered. I was a curious boy, but the schools were not concerned with curiosity. They were concerned with compliance. I loved a few of my teachers. But I cannot say that I truly believed any of them. Some years after I’d left school, after I’d dropped out of college, I heard a few lines from Nas that struck me: Ecstasy, coke, you say it’s love, it is poison Schools where I learn they should be burned, it is poison That was exactly how I felt back then. I sensed the schools were hiding something, drugging us with false morality so that we would not see, so that we did not ask: Why—for us and only us—is the other side of free will and free spirits an assault upon our bodies? This is not a hyperbolic concern. When our elders presented school to us, they did not present it as a place of high learning but as a means of escape from death and penal warehousing. Fully 60 percent of all young black men who drop out of high school will go to jail. This should disgrace the country. But it does not, and while I couldn’t crunch the numbers or plumb the history back then, I sensed that the fear that marked West Baltimore could not be explained by the schools. Schools did not reveal truths, they concealed them. Perhaps they must be burned away so that the heart of this thing might be known.

Like numbers, human experience has abstract and practical sides, feeling and reason, and in each of us one or the other tends to dominate. Belief does not persuade a scientist, and science does not persuade a believer. Too ardent an embrace of reason leads to irrational thinking, and too ardent an embrace of feeling leads to madness. William James says that religious mysticism is only half of the possible mysticisms, the others are forms of insanity. These are the states in which mystical convictions circle back on a person and pessimistically invert notions of divinity into notions of evil.

Say, thanks, Basie!” Jim devoured the potato. He liked Basie’s cubicle. The abundance of objects, even if they were useless, was reassuring, like the abundance of words around Dr. Ransome. The Latin vocabulary and the algebraic terms were useless too, but they helped to make up a world. Basie’s confidence in the future encouraged him.

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

By the time he was in high school, his family had moved to Miami. Bezos was a straight-A student, somewhat nerdy, and still completely obsessed with space exploration. He was chosen as the valedictorian of his class, and his speech was about space: how to colonize planets, build space hotels, and save our fragile planet by finding other places to do manufacturing. “Space, the final frontier, meet me there!” he concluded. He went to Princeton with the goal of studying physics. It sounded like a smart plan until he smashed into a course on quantum mechanics. One day he and his roommate were trying to solve a particularly difficult partial differential equation, and they went to the room of another person in the class for help. He stared at it for a moment, then gave them the answer. Bezos was amazed that the student had done the calculation—which took three pages of detailed algebra to explain—in his head. “That was the very moment when I realized I was never going to be a great theoretical physicist,” Bezos says. “I saw the writing on the wall, and I changed my major very quickly to electrical engineering and computer science.” It was a difficult realization. His heart had been set on becoming a physicist, but finally he had confronted his own limits.

Algebra is the offer made by the devil to the mathematician,’ he once said. ‘The devil says: I will give you this powerful machine, it will answer any question you like. All you need to do is give me your soul.

People who are different are dangerous, they belong to another tribe; they want our lands and our women. We must marry, have children, reproduce the species. Love is only a small thing,, enough for one person, and any suggestion that the heart might be larger than this is considered perverse. When we marry we are authorized to take possession of the other person, body and soul. We must do jobs we detest because we are part of an organized society and if everyone did what they wanted to do, the world would come to a standstill We must buy jewellery, it identifies us with our tribe, just as body piercing identifies those of a different tribe. We must be amusing at all times and sheer at those who express their real feelings, it is dangerous to a tribe to allow its members to show their feelings. We must at all costs avoid saying "No" because people prefer those who always say "Yes", and this allows us to survive in hostile territory. What other people think is more important than what we feel. Never make a fuss, it might attract the attention of an enemy tribe because you could infect others and destroy something that was extremely difficult to organize in the first place. We must always consider the look of our new cave, and if we don't have a clear idea of our own, then we must call in a decorator who will do his best to show others what good taste we have. We must eat three meals a day, even if we're not hungry, and when we fail to fit in the current ideal of beauty we must fast, even if we're starving. We must dress according to the dictates of fashion, make love whether we feel like it or not, kill in the name of our country's frontiers, wish time away so that retirements comes more quickly, elect politicians, complain about the cost of living, change our hairstyle, criticize anyone who is different, go to a religious service on Sunday, Saturday or Friday , depending on our religion, and there beg for forgiveness for our sins and puff ourselves up with the other tribe who worship another god. Our children must follow in our steps, after all we are older and know about the world. We must have a university degree even if we never get a job in the area of knowledge we were forced to study. We must study things we will never use but which someone told us was important to know: algebra, trigonometry, the code of Hammurabi. We must never make our parents sad, even if this means giving up everything that makes us happy. We must play music quietly, talk quietly, weep in private

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 an earthworm and the advent of Socrates. Where the telescope ends, the microscope begins. Which of the two has the greater view? Choose. A bit of mold is a pleiad of flowers; a nebula is an anthill of stars.

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

I read once of David Hockney’s answering the question, Why do your shoeless figures always have socks on, by saying, I can’t draw feet.

The belief that mathematics exists somewhere else than within us, that it is discovered more than created, is called Platonism, after Plato’s belief in a non-spatiotemporal realm that was the region of the perfect forms of which the objects on earth were imperfect reproductions. By definition, the non-spatiotemporal realm is outside time and space. It is not the creation of any deity, it simply is. To say that it is eternal or that it has always existed is to make a temporal remark, which does not apply. It is the timeless nowhere which never has and never will exist anywhere but which nevertheless is. The physical world is temporal and declines, the non-spatiotemporal one is ideal and doesn’t.

My colleague Aswath Damodaran says the best regulation is life lessons

As soon as my friends and I start dating for real, we enter an exhausting paradox – a belief that, in love, everything is not as it seems: the conviction that there is a common state of affairs whereby a man can be madly in love with you and wish to spend the rest of his life with you, but will indicate this in a variety of ways so subtle, only the truly talented and determined will discern his true desires. Like it’s The Da Vinci Code, and when a man takes you out to dinner, gets off with you, then doesn’t call for two weeks, there’s a secret challenge he’s setting you that – with enough algebra, consultation of ancient scrolls, and wailing on the phone to your female friends – you can decode and, eventually, get married, i.e., win… .You can always tell when a woman is with the wrong man, because she has so much to say about the fact that nothing’s happening. When women find the right person, on the other hand, they just… disappear for six months, and then resurface, eyes shiny, and usually about six pounds heavier. “So what’s he like?” you will say, waiting for the usual cloudburst of things he says and things he does and requests of analysis of what you think it means that his favorite film is Star Wars (“Trapped in adolescence – or in touch with his inner child?”). But she will be oddly quiet. “It’s just… good,” she will say. “I’m really happy.

I haven’t even checked to see if my Heart-2-Heart pal wrote back.” Madison plucked at the fuzzy strands of yarn on her pillow. “You should. I love this program! We can tell each other anything. It’s so great!” “And this guy’s name is Blue?” Piper’s voice sounded doubtful. “I don’t remember any kid at school named Blue. There was that one guy we called Green in our chem lab, remember? But I think we called him that because his last name was Green and we could never remember his first name.” Madison giggled even more. She was feeling like a fizzy soda pop, bubbly all over. “Oh, Piper, his name isn’t really Blue. That’s just his nickname.” “Do you have a nickname?” “Of course,” Madison said. “But I don’t want to tell you what it is. You’ll think it’s ridiculous.” “I can’t believe you won’t tell me,” Piper protested. “I’m your BFF. We share everything!” “I know…”” “Come on, tell me!” Piper pleaded. “Look, I told you about the time I wet my pants in second grade, and that I had a total crush on Mr. Proctor, our fifth-grade teacher. And last year, when I--” “This is different, Piper,” Madison tried to explain. “We can tell our deepest secrets to our Heart-2-Heart pal because they don’t know who we are.” “I just can’t believe this,” Piper continued in a really hurt voice. “Didn’t I tell you about that D I almost got in Algebra I and the secret tutor I had to hire to bring up my grade? God, I even told you about that mole on my butt that I had to have removed. If that’s not a deep secret, I don’t know what is.” “Okay, okay!” Madison sat up. “I’ll tell you. It’s Pinky.” There was a long pause. “Pinky? That’s ridiculous.” “See?” Madison shouted into the phone. “I knew you’d say that.” She got up and crossed to her vanity mirror. She tousled her hair with one hand to make it stand up. “It had to do with dyeing my hair pink.” There was an even longer pause. “You’re not going to do that, are you?” Piper asked quietly. “Because I don’t think it will help the campaign. Oh, it might steal a few votes from Jeremy--but do we really need them? I’m not sure.” “Piper, relax,” Madison said. “I was just joking about doing it.

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.

somewhere…anyway, if I’m not taught in a way I can actually understand, I’ll never get it. I’m lost from the get-go, never to catch up, and doomed to fail. Needless to say, over the years, the concept of algebra was never explained to me in that beautiful,

Dear Algebra, Quit asking us to find your ‘x’, she’s not coming back! Love, Me. P.S. And don’t ask me ‘y’ either.” -- Unknown

Predication may be unconventionally, but not really inaccurately, defined as, 'Whatever is done by the word is in such a sentence as: a horse is an animal; the earth is a planet.' If I say a horse is an animal; then a) if by the word animal I mean something more, or less, or other than horse, I have told a lie; but b) if I do not mean by the word animal something more, or less, or other than horse, I have said almost nothing. For I might was well have said a horse is a horse. Hence the attempts we are now witnessing to replace the traditional logic based on predication by a new logic, in which symbols of algebraic precision refer to 'atomic' facts and events having no vestige of connection with the symbols and no hierarchical relation to each other.

This reminds me of an old story from the Harvard math department, concerning one of the grand old Russian professors, whom we shall call O. Professor O is midway through an intricate algebraic derivation when a student in the back row raises his hand. “Professor O, I didn’t follow that last step. Why do those two operators commute?” The professor raises his eyebrows and says, “Eet ees obvious.” But the student persists: “I’m sorry, Professor O, I really don’t see it.” So Professor O goes back to the board and adds a few lines of explanation. “What we must do? Well, the two operators are both diagonalized by . . . well, it is not exactly diagonalized but . . . just a moment . . .” Professor O pauses for a little while, peering at what’s on the board and scratching his chin. Then he retreats to his office. About ten minutes go by. The students are about to start leaving when Professor O returns, and again assumes his station in front of the chalkboard. “Yes,” he says, satisfied. “Eet ees obvious

The reason that I do not typically use the command word “stay” during training is because it is redundant.  If I instruct you to sit, I should not have to tell you to stay sitting.  What value is a sit without the stay?  Sit implies stay.  Once I have given the sit command, the assumption is that the dog should remain in that position until told otherwise.  That’s the standard.  The sit command can be considered the warning that it’s unacceptable to get up.  However, if you want to offer the additional information, you may say “stay” once the dog is sitting.  Then, that becomes the warning.  Only say it once.  That is the message that tells the dog of your expectations.  A warning should be delivered one time.  If the dog does not heed the warning, then the consequence must be delivered.  Otherwise, you will create a dog that will simply wait for the second or third or fourth warning word before changing his behavior.

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!

in love with him even before that, but it was during gym class when I was twelve, when he looked straight at me with those gorgeous deep blue eyes and proceeded to hit me with the dodge ball. Hard. That was when I knew I had lost my heart. It was like he had strapped a piece of his own heart right to the red rubber ball and when it hit me, his heart collided with mine. From that day on, there was no one else for me. Now, four years later, as my best friend, Emma, and I pull up to the address that Nate had scribbled on the back of his algebra homework for me—a piece of paper I vow never to destroy—I look up and see people funneling into the large house. “I feel sick,” I say, as I press my face against the passenger window, trying to cool off my forehead on the glass. “I don’t know what you

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.

Your mission is to find something you’re good at and apply the thousands of hours of grit and sacrifice necessary to become great at it. As you get there, the feeling of growth and your increasing mastery of your craft, along with the economic rewards, recognition, and camaraderie, will make you passionate about whatever “it” is. Nobody grows up saying, “I’m passionate about tax law,” but the best tax lawyers in the country are financially secure, have access to a broader selection of mates, and are—because they are so good at it—passionate about tax law. It’s unlikely you will ever be great at something you dislike doing, but mastery can lead to passion.

I like you when you’re algebraic,” said Ulf—and immediately regretted it. It was a flirtatious remark—describing somebody as algebraic was undoubtedly to cross a line. You would not normally describe an ordinary friend as algebraic, and then say that you liked her that way. He saw the effect on Anna, and his regret deepened. “Algebraic?” she said, half coyly. “Well, I’m very happy to enter into any equation.

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.