Mathematical Love Quotes

The axiom of equality states that x always equals x: it assumes that if you have a conceptual thing named x, that it must always be equivalent to itself, that it has a uniqueness about it, that it is in possession of something so irreducible that we must assume it is absolutely, unchangeably equivalent to itself for all time, that its very elementalness can never be altered. But it is impossible to prove. Always, absolutes, nevers: these are the words, as much as numbers, that make up the world of mathematics. Not everyone liked the axiom of equality––Dr. Li had once called it coy and twee, a fan dance of an axiom––but he had always appreciated how elusive it was, how the beauty of the equation itself would always be frustrated by the attempts to prove it. It was the kind of axiom that could drive you mad, that could consume you, that could easily become an entire life. But now he knows for certain how true the axiom is, because he himself––his very life––has proven it. The person I was will always be the person I am, he realizes. The context may have changed: he may be in this apartment, and he may have a job that he enjoys and that pays him well, and he may have parents and friends he loves. He may be respected; in court, he may even be feared. But fundamentally, he is the same person, a person who inspires disgust, a person meant to be hated.

Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.

If two people loved, they slept together; it was a mathematical formula, tested and proved by human experience.

This is the world we live in, a world of safety and happiness and order, a world without love. A world where children crack their heads on stone fireplaces and nearly gnaw off their tongues and the parents are concerned. Not heartbroken, frantic, desperate. Concerned, as they are when you fail mathematics, as they are when they are late to pay their taxes.

Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.

And silence. She liked the silence most of all. The silence in which the body, senses, the instincts, are more alert, more powerful, more sensitized, live a more richly perfumed and intoxication life, instead of transmuting into thoughts, words, into exquisite abstractions, mathematics of emotion in place of violent impact, the volcanic eruptions of fever, lust and delight.

He wished that the mathematics of the world were like the mathematics of the heart - then his equal love and hate would mean he felt nothing instead of double.

Gentlemen, my father always detested me because I could not understand mathematics. I understand only love and liberty.

Satan, on the contrary, is thin, ascetic and a fanatical devotee of logic. He reads Machiavelli, Ignatius of Loyola, Marx and Hegel; he is cold and unmerciful to mankind, out of a kind of mathematical mercifulness. He is damned always to do that which is most repugnant to him: to become a slaughterer, in order to abolish slaughtering, to sacrifice lambs so that no more lambs may be slaughtered, to whip people with knouts so that they may learn not to let themselves be whipped, to strip himself of every scruple in the name of a higher scrupulousness, and to challenge the hatred of mankind because of his love for it--an abstract and geometric love.

[The Old Astronomer to His Pupil] Reach me down my Tycho Brahe, I would know him when we meet, When I share my later science, sitting humbly at his feet; He may know the law of all things, yet be ignorant of how We are working to completion, working on from then to now. Pray remember that I leave you all my theory complete, Lacking only certain data for your adding, as is meet, And remember men will scorn it, 'tis original and true, And the obloquy of newness may fall bitterly on you. But, my pupil, as my pupil you have learned the worth of scorn, You have laughed with me at pity, we have joyed to be forlorn, What for us are all distractions of men's fellowship and smiles; What for us the Goddess Pleasure with her meretricious smiles. You may tell that German College that their honor comes too late, But they must not waste repentance on the grizzly savant's fate. Though my soul may set in darkness, it will rise in perfect light; I have loved the stars too fondly to be fearful of the night. What, my boy, you are not weeping? You should save your eyes for sight; You will need them, mine observer, yet for many another night. I leave none but you, my pupil, unto whom my plans are known. You 'have none but me,' you murmur, and I 'leave you quite alone'? Well then, kiss me, -- since my mother left her blessing on my brow, There has been a something wanting in my nature until now; I can dimly comprehend it, -- that I might have been more kind, Might have cherished you more wisely, as the one I leave behind. I 'have never failed in kindness'? No, we lived too high for strife,-- Calmest coldness was the error which has crept into our life; But your spirit is untainted, I can dedicate you still To the service of our science: you will further it? you will! There are certain calculations I should like to make with you, To be sure that your deductions will be logical and true; And remember, 'Patience, Patience,' is the watchword of a sage, Not to-day nor yet to-morrow can complete a perfect age. I have sown, like Tycho Brahe, that a greater man may reap; But if none should do my reaping, 'twill disturb me in my sleep So be careful and be faithful, though, like me, you leave no name; See, my boy, that nothing turn you to the mere pursuit of fame. I must say Good-bye, my pupil, for I cannot longer speak; Draw the curtain back for Venus, ere my vision grows too weak: It is strange the pearly planet should look red as fiery Mars,-- God will mercifully guide me on my way amongst the stars.

Life has puffed and blown itself into a summer day, and clouds and spring billow over the heavens as if calendars were a listing of mathematical errors.

Where there was nature and earth, life and water, I saw a desert landscape that was unending, resembling some sort of crater, so devoid of reason and light and spirit that the mind could not grasp it on any sort of conscious level and if you came close the mind would reel backward, unable to take it in. It was a vision so clear and real and vital to me that in its purity it was almost abstract. This was what I could understand, this was how I lived my life, what I constructed my movement around, how I dealt with the tangible. This was the geography around which my reality revolved: it did not occur to me, ever, that people were good or that a man was capable of change or that the world could be a better place through one’s own taking pleasure in a feeling or a look or a gesture, of receiving another person’s love or kindness. Nothing was affirmative, the term “generosity of spirit” applied to nothing, was a cliche, was some kind of bad joke. Sex is mathematics. Individuality no longer an issue. What does intelligence signify? Define reason. Desire- meaningless. Intellect is not a cure. Justice is dead. Fear, recrimination, innocence, sympathy, guilt, waste, failure, grief, were things, emotions, that no one really felt anymore. Reflection is useless, the world is senseless. Evil is its only permanence. God is not alive. Love cannot be trusted. Surface, surface, surface, was all that anyone found meaning in…this was civilization as I saw it, colossal and jagged…

The only reason I don’t know more about love is because there just isn’t more to know. In fact, I’ve reduced love to a mathematical formula: Hdgk(X)=H2k(X,Q)∩Hk,k(X). Actually, that’s not right. That’s the statement piece of the Hodge conjecture, but I’m sure you already knew that.


The truth is that you can divide your heart in all sorts of interesting ways - a little here, a little there, most banked at home, some of it coined out for a flutter. But love cleaves through the mind's mathematics. Love's lengthways splits the heart in two - the heart where you are, the heart where you want to be. How will you heal your heart when love has split it in two?

How many times have I wondered if it is really possible to forge links with a mass of people when one has never had strong feelings for anyone, not even one's own parents: if it is possible to have a collectivity when one has not been deeply loved oneself by individual human creatures. Hasn't this had some effect on my life as a militant--has it not tended to make me sterile and reduce my quality as a revolutionary by making everything a matter of pure intellect, of pure mathematical calculation?

No doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending parrot-like apparent competence--a duty and a duty alone--and no hint of magic or beauty of the subject might be allowed to come through.

... love and fear increase together with a precision almost mathematical: the greater the love is then the greater the fear is.

When we are young, we spend much time and pains in filling our note-books with all definitions of Religion, Love, Poetry, Politics, Art, in the hope that, in the course of a few years, we shall have condensed into our encyclopaedia the net value of all the theories at which the world has yet arrived. But year after year our tables get no completeness, and at last we discover that our curve is a parabola, whose arcs will never meet.

We love men because they can never fake orgasms, even if they wanted to. Because they write poems, songs, and books in our honor. Because they never understand us, but they never give up. Because they can see beauty in women when women have long ceased to see any beauty in themselves. Because they come from little boys. Because they can churn out long, intricate, Machiavellian, or incredibly complex mathematics and physics equations, but they can be comparably clueless when it comes to women. Because they are incredible lovers and never rest until we’re happy. Because they elevate sports to religion. Because they’re never afraid of the dark. Because they don’t care how they look or if they age. Because they persevere in making and repairing things beyond their abilities, with the naïve self-assurance of the teenage boy who knew everything. Because they never wear or dream of wearing high heels. Because they’re always ready for sex. Because they’re like pomegranates: lots of inedible parts, but the juicy seeds are incredibly tasty and succulent and usually exceed your expectations. Because they’re afraid to go bald. Because you always know what they think and they always mean what they say. Because they love machines, tools, and implements with the same ferocity women love jewelry. Because they go to great lengths to hide, unsuccessfully, that they are frail and human. Because they either speak too much or not at all to that end. Because they always finish the food on their plate. Because they are brave in front of insects and mice. Because a well-spoken four-year old girl can reduce them to silence, and a beautiful 25-year old can reduce them to slobbering idiots. Because they want to be either omnivorous or ascetic, warriors or lovers, artists or generals, but nothing in-between. Because for them there’s no such thing as too much adrenaline. Because when all is said and done, they can’t live without us, no matter how hard they try. Because they’re truly as simple as they claim to be. Because they love extremes and when they go to extremes, we’re there to catch them. Because they are tender they when they cry, and how seldom they do it. Because what they lack in talk, they tend to make up for in action. Because they make excellent companions when driving through rough neighborhoods or walking past dark alleys. Because they really love their moms, and they remind us of our dads. Because they never care what their horoscope, their mother-in-law, nor the neighbors say. Because they don’t lie about their age, their weight, or their clothing size. Because they have an uncanny ability to look deeply into our eyes and connect with our heart, even when we don’t want them to. Because when we say “I love you” they ask for an explanation.

For years now I had convinced myself that the sadness of the memories weighed more and lasted longer than the moments of happiness themselves. So I had, through some crude emotional mathematics, decided it was better not to seek out love or companionship or even friendship.

Where there is no mathematics, there is no freedom.

What I love about cooking is that after a hard day, there is something comforting about the fact that if you melt butter and add flour and then hot stock, it will get thick! It’s a sure thing! It’s sure thing in a world where nothing is sure; it has a mathematical certainty in a world where those of us who long for some kind of certainty are forced to settle for crossword puzzles.

Love was even more mathematical than poetry. It was the pure mathematics of the spirit.

Time was mathematically explicable; it was the heart—the part of the brain represented by the heart—that was the mystery.

Mathematics effectively began when a few Greek friends got together to talk about numbers and lines and angles.

I call you my soulmate because I lost myself in you and then found myself through you. Sure, when you are gone, I will be a fraction but the common denominator has always been me.

How did you know?” “I…” Thomas swallowed hard, his attention fixed on the painting. “The truth?” “Please.” “You’ve got a dress with orchid blossoms embroidered on it. Ribbons in the deepest purple. You favor the color, but not nearly as much as I find myself favoring you.” He took a deep breath. “As to the stars? Those are what I prefer. More than medical practices and deductions. The universe is vast. A mathematical equation even I have no hope of solving. For there are no limits to the stars; their numbers are infinite. Which is precisely why I measure my love for you by them. An amount too boundless to count.

As to the stars? Those are what I prefer. More than medical practices and deductions. The universe is vast. A mathematical equation even I have no hope of solving. For there are no limits to the stars; their numbers are infinite. Which is precisely why i measure my love for you by them An amount too boundless to count.

Do you know why I love mathematics?" "Because it blew your mind for free when you couldn't get drugs?" Eccles snorted in surprise. "Well, yes, but there's another reason.

No old Men (excepting Dr. Wallis) love Mathematicks.

If he loved you guys, he wouldn’t hurt you.” He made it sound so simple, as if it were a mathematical equation. But the connection between pain and love wasn’t linear. It was a web.

Now what is history? It is the centuries of systematic explorations of the riddle of death, with a view to overcoming death. That's why people discover mathematical infinity and electromagnetic waves, that's why they write symphonies. Now, you can't advance in this direction without a certain faith. You can't make such discoveries without spiritual equipment. And the basic elements of this equipment are in the Gospels. What are they? To begin with, love of one's neighbor, which is the supreme form of vital energy. Once it fills the heart of man it has to overflow and spend itself. And then the two basic ideals of modern man—without them he is unthinkable—the idea of free personality and the idea of life as sacrifice.

Music is a mixed mathematical science that concerns the origens, attributes, and distinctions of sound, out of which a cultivated and lovely melody and harmony are made, so that God is honored and praised but mankind is moved to devotion, virtue, joy, and sorrow.

Some believers accuse skeptics of having nothing left but a dull, cold, scientific world. I am left with only art, music, literature, theatre, the magnificence of nature, mathematics, the human spirit, sex, the cosmos, friendship, history, science, imagination, dreams, oceans, mountains, love, and the wonder of birth. That’ll do for me.

Sex is mathematics. Individuality no longer an issue. What does intelligence signify? Define reason. Desire -- meaningless. Intellect is not a cure. Justice is dead. Fear, recrimination, innocence, sympathizing, guilt, waste, failure, grief, were things, emotions, that no one really felt any more. Reflection is useless, the world is senseless. Evil is its only permanence. God is not alive. Love cannot be trusted. Surface, surface, surface was all that anyone found meaning in...this was civilization as I saw it, colossal and jagged...

Tom felt his darkness. His father was beautiful and clever, his mother was short and mathematically sure. Each of his brothers and sisters had looks or gifts or fortune. Tom loved all of them passionately, but he felt heavy and earth-bound. He climbed ecstatic mountains and floundered in the rocky darkness between the peaks. He had spurts of bravery but they were bracketed in battens of cowardice.

Just as all things speak about God to those that know Him, and reveal Him to those that love Him, they also hide Him from all those that neither seek nor know Him.

He loved numbers, their patterns and secrets, the way something complex could be reduced to something simple. In mathematics, unlike life, there was always a solution, a definite answer.

what you learn from the intensity and the focus you had when under the influence of risk stays with you. You may lose the sharpness, but nobody can take away what you’ve learned. This is the principal reason I am now fighting the conventional educational system, made by dweebs for dweebs. Many kids would learn to love mathematics if they had some investment in it, and, more crucially, they would build an instinct to spot its misapplications.

And so to read is, in truth, to be in the constant act of creation. The old lady on the bus with her Orwell, the businessman on the Tube with Patricia Cornwell, the teenager roaring through Capote -- they are not engaged in idle pleasure. Their heads are on fire. Their hearts are flooding. With a book, you are the landscape, the sets, the snow, the hero, the kiss -- you are the mathematical calculation that plots the trajectory of the blazing, crashing zeppelin. You -- pale, punchable reader -- are terraforming whole worlds in your head, which will remain with you until the day you die. These books are as much a part of you as your guts and your bone. And when your guts fail and your bones break, Narnia, or Jamaica Inn, or Gormenghast will still be there; as pin-sharp and bright as the day you first imagined them -- hiding under the bedclothes, sitting on the bus. Exhausted, on a rainy day, weeping over the death of someone you never met, and who was nothing more than words until you transfused them with your time, and your love, and the imagination you constantly dismiss as "just being a bit of a bookworm.

People tend to think that mathematicians always work in sterile conditions, sitting around and staring at the screen of a computer, or at a ceiling, in a pristine office. But in fact, some of the best ideas come when you least expect them, possibly through annoying industrial noise.

Mathematics directs the flow of the universe, lurks behind its shapes and curves, holds the reins of everything from tiny atoms to the biggest stars.

It was as though applied mathematics was my spouse, and pure mathematics was my secret lover.

Mathematicians need only peace of mind and occasionally, paper and pencil.

One of the most painful parts of teaching mathematics is seeing students damaged by the cult of the genius. The genius cult tells students it’s not worth doing mathematics unless you’re the best at mathematics, because those special few are the only ones whose contributions matter. We don’t treat any other subject that way! I’ve never heard a student say, “I like Hamlet, but I don’t really belong in AP English—that kid who sits in the front row knows all the plays, and he started reading Shakespeare when he was nine!” Athletes don’t quit their sport just because one of their teammates outshines them. And yet I see promising young mathematicians quit every year, even though they love mathematics, because someone in their range of vision was “ahead” of them.

Physics, mathematics, music, painting, my politics, my love for you, my work, the star-dust of my body, the spirit that impels it, clocks diurnal, time perpetual, the roll, rough, tender, swamping, liberating, breathing, moving, thinking nature, human nature and the cosmos are patterned together.

As he soars, he thinks, suddenly, of Dr. Kashen. Or not of Dr. Kashen, necessarily, but the question he had asked him when he was applying to be his advisee: What's your favorite axiom? (The nerd pickup line, CM had once called it.) "The axiom of equality," he'd said, and Kashen had nodded, approvingly. "That's a good one," he'd said. The axiom of equality states that x always equals x: it assumes that if you have a conceptual thing named x, that it must always be equivalent to itself, that it has a uniqueness about it, that it is in possession of something so irreducible that we must assume it is absolutely, unchangeably equivalent to itself for all time, that its very elementalness can never be altered. But it is impossible to prove. Always, absolutes, nevers: these are the words, as much as numbers, that make up the world of mathematics. Not everyone liked the axiom of equality––Dr. Li had once called it coy and twee, a fan dance of an axiom––but he had always appreciated how elusive it was, how the beauty of the equation itself would always be frustrated by the attempts to prove it. I was the kind of axiom that could drive you mad, that could consume you, that could easily become an entire life. But now he knows for certain how true the axiom is, because he himself––his very life––has proven it. The person I was will always be the person I am, he realizes. The context may have changed: he may be in this apartment, and he may have a job that he enjoys and that pays him well, and he may have parents and friends he loves. He may be respected; in court, he may even be feared. But fundamentally, he is the same person, a person who inspires disgust, a person meant to be hated. And in that microsecond that he finds himself suspended in the air, between ecstasy of being aloft and the anticipation of his landing, which he knows will be terrible, he knows that x will always equal x, no matter what he does, or how many years he moves away from the monastery, from Brother Luke, no matter how much he earns or how hard he tries to forget. It is the last thing he thinks as his shoulder cracks down upon the concrete, and the world, for an instant, jerks blessedly away from beneath him: x = x, he thinks. x = x, x = x.

Memory cannot be understood, either, without a mathematical approach. The fundamental given is the ratio between the amount of time in the lived life and the amount of time from that life that is stored in memory. No one has ever tried to calculate this ratio, and in fact there exists no technique for doing so; yet without much risk of error I could assume that the memory retains no more than a millionth, a hundred-millionth, in short an utterly infinitesimal bit of the lived life. That fact too is part of the essence of man. If someone could retain in his memory everything he had experienced, if he could at any time call up any fragment of his past, he would be nothing like human beings: neither his loves nor his friendships nor his angers nor his capacity to forgive or avenge would resemble ours. We will never cease our critique of those persons who distort the past, rewrite it, falsify it, who exaggerate the importance of one event and fail to mention some other; such a critique is proper (it cannot fail to be), but it doesn't count for much unless a more basic critique precedes it: a critique of human memory as such. For after all, what can memory actually do, the poor thing? It is only capable of retaining a paltry little scrap of the past, and no one knows why just this scrap and not some other one, since in each of us the choice occurs mysteriously, outside our will or our interests. We won't understand a thing about human life if we persist in avoiding the most obvious fact: that a reality no longer is what it was when it was; it cannot be reconstructed.

Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler’s equation reaches down into the very depths of existence.

People who don't like math always accuse mathematicians of trying to make math complicated. (...) But anyone who does love math knows it's really the opposite: math rewards simplicity, and mathematicians value it above all else. So it's no surprise that Walter's favourite axiom was also the most simple in the realm of mathematics: the axiom of the empty set. The axiom of the empty set is the axiom of zero. it states that there must be a concept of nothingness, that there must be the concept of zero: zero value, zero items. Math assumes there's a concept of nothingness, but is it proven? No. But it must exist. And if we're being philosophical—which we today are—we can say that life itself is the axiom of the empty set. It begins in zero and ends in zero. We know that both states exist, but we will not be conscious of either experience: they are states that are necessary parts of life, even as they cannot be experienced as life. We assume the concept of nothingness, but we cannot prove it. But it must exist. So I prefer to think that Walter has not died but has instead proven for himself the axiom of the empty set, that he has proven the concept of zero. I know nothing else would have made him happier. An elegant mind wants elegant endings, and Walter had the most elegant mind. So I wish him goodbye; I wish him the answer to the axiom he so loved.

It must be this overarching commitment to what is really an abstraction, to one's children right or wrong, that can be even more fierce than the commitment to them as explicit, difficult people, and that can consequently keep you devoted to them when as individuals they disappoint. On my part it was this broad covenant with children-in-theory that I may have failed to make and to which I was unable to resort when Kevin finally tested my maternal ties to a perfect mathematical limit on Thursday. I didn't vote for parties, but for candidates. My opinions were as ecumenical as my larder, then still chock full of salsa verde from Mexico City, anchovies from Barcelona, lime leaves from Bangkok. I had no problem with abortion but abhorred capital punishment, which I suppose meant that I embraced the sanctity of life only in grown-ups. My environmental habits were capricious; I'd place a brick in our toilet tank, but after submitting to dozens of spit-in-the-air showers with derisory European water pressure, I would bask under a deluge of scalding water for half an hour. My closet wafter with Indian saris, Ghanaian wraparounds, and Vietnamese au dais. My vocabulary was peppered with imports -- gemutlich, scusa, hugge, mzungu. I so mixed and matched the planet that you sometimes worried I had no commitments to anything or anywhere, though you were wrong; my commitments were simply far-flung and obscenely specific. By the same token, I could not love a child; I would have to love this one. I was connected to the world by a multitude of threads, you by a few sturdy guide ropes. It was the same with patriotism: You loved the idea of the United States so much more powerfully than the country itself, and it was thanks to your embrace of the American aspiration that you could overlook the fact that your fellow Yankee parents were lining up overnight outside FAO Schwartz with thermoses of chowder to buy a limited release of Nintendo. In the particular dwells the tawdry. In the conceptual dwells the grand, the transcendent, the everlasting. Earthly countries and single malignant little boys can go to hell; the idea of countries and the idea of sons triumph for eternity. Although neither of us ever went to church, I came to conclude that you were a naturally religious person.

Something else gets under your skin, keeps you working days and nights at the sacrifice of your sleeping and eating and attention to your family and friends, something beyond the love of puzzle solving. And that other force is the anticipation of understanding something about the world that no one has ever understood before you. Einstein wrote that when he first realized that gravity was equivalent to acceleration -- an idea that would underlie his new theory of gravity -- it was the "happiest thought of my life." On projects of far smaller weight, I have experienced that pleasure of discovering something new. It is an exquisite sensation, a feeling of power, a rush of the blood, a sense of living forever. To be the first vessel to hold this new thing. All of the scientists I've known have at least one more quality in common: they do what they do because they love it, and because they cannot imagine doing anything else. In a sense, this is the real reason a scientist does science. Because the scientist must. Such a compulsion is both blessing and burden. A blessing because the creative life, in any endeavor, is a gift filled with beauty and not given to everyone, a burden because the call is unrelenting and can drown out the rest of life. This mixed blessing and burden must be why the astrophysicist Chandrasekhar continued working until his mid-80's, why a visitor to Einstein's apartment in Bern found the young physicist rocking his infant with one hand while doing mathematical calculations with the other. This mixed blessing and burden must have been the "sweet hell" that Walt Whitman referred to when he realized at a young age that he was destined to be a poet. "Never more," he wrote, "shall I escape.

I'm angry because you think everything happened by chance but there are billions of people on this planet and I found you so if you're saying I could just as well have found someone else then I can't bear your bloody mathematics!" Her fists had been clenched. He stood there looking at her for several minutes. Then he said that he loved her. It was the first time. They never stopped arguing and they never slept apart; he spent an entire working life calculating probabilities and she was the most improbable person he ever met. She turned him upside-down.

Perfection is crucial in building an aircraft, a bridge, or a high-speed train. The code and mathematics residing just below the surface of the Internet is also this way. Things are either perfectly right or they will not work. So much of the world we work and live in is based upon being correct, being perfect.

How can I number the worlds to which the eye gives me entry? - the world of light, of colour, of shape, of shadow: of mathematical precision in the snowflake, the ice formation, the quartz crystal, the patterns of stamen and petal: of rhythm in the fluid curve and plunging line of the mountain faces. Why some blocks of stone, hacked into violent and tortured shapes, should so profoundly tranquillise the mind I do not know. Perhaps the eye imposes its own rhythm on what is only a confusion: one has to look creatively to see this mass of rock as more than jag and pinnacle - as beauty. Else why did men for so many centuries think mountains repulsive? A certain kind of consciousness interacts with the mountain-forms to create this sense of beauty. Yet the forms must be there for the eye to see. And forms of a certain distinction: mere dollops won't do it. It is, as with all creation, matter impregnated with mind: but the resultant issue is a living spirit, a glow in the consciousness, that perishes when the glow is dead. It is something snatched from non-being, that shadow which creeps in on us continuously and can be held off by continuous creative act. So, simply to look on anything, such as a mountain, with the love that penetrates to its essence, is to widen the domain of being in the vastness of non-being. Man has no other reason for his existence.

What would it be like, a world without snow? I cannot imagine such a place. It would be like a world devoid of numbers. Every snowflake, unique as every number, tells us something about complexity. Perhaps that is why we will never tire of its wonder.

I'm not sure I understand what love is. It's like 'good'. No one's explained it clearly. I love ice-cream. I love chess and mathematics. I love getting what I want. I love getting away with things. But not people. They're either useful or they're not.

The hoodlum-occultist is “sociopathic” enough to, see through the conventional charade, the social mythology of his species. “They’re all sheep,” he thinks. “Marks. Suckers. Waiting to be fleeced.” He has enough contact with some more-or-less genuine occult tradition to know a few of the gimmicks by which “social consciousness,” normally conditioned consciousness, can be suspended. He is thus able to utilize mental brutality in place of the simple physical brutality of the ordinary hooligan. He is quite powerless against those who realize that he is actually a stupid liar. He is stupid because spending your life terrorizing and exploiting your inferiors is a dumb and boring existence for anyone with more than five billion brain cells. Can you imagine Beethoven ignoring the heavenly choirs his right lobe could hear just to pound on the wall and annoy the neighbors? Gödel pushing aside his sublime mathematics to go out and cheat at cards? Van Gogh deserting his easel to scrawl nasty caricatures in the men’s toilet? Mental evil is always the stupidest evil because the mind itself is not a weapon but a potential paradise. Every kind of malice is a stupidity, but occult malice is stupidest of all. To the extent that the mindwarper is not 100 percent charlatan through-and-through (and most of them are), to the extent that he has picked up some real occult lore somewhere, his use of it for malicious purposes is like using Shakespeare’s sonnets for toilet tissue or picking up a Picasso miniature to drive nails. Everybody who has advanced beyond the barbarian stage of evolution can see how pre-human such acts are, except the person doing them. Genuine occult initiation confers “the philosopher’s stone,” “the gold of the wise” and “the elixir of life,” all of which are metaphors for the capacity to greet life with the bravery and love and gusto that it deserves. By throwing this away to indulge in spite, malice and the small pleasure of bullying the credulous, the mindwarper proves himself a fool and a dolt. And the psychic terrorist, besides being a jerk, is always a liar and a fraud. Healing is easier (and more fun) than cursing, to begin with, and cursing usually backfires or misfires. The mindwarper doesn’t want you to know that. He wants you to think he’s omnipotent.

I love moving water, I love ships, I love the sharp definition, the concentrated humanity, the sublime solitude of life at sea. The dangers of it only make present to us the peril inherent in all existence, which the stupid, ignorant, untravelled land-worm never discovers; and the art of it, so mathematical, so exact, so rewarding to intelligence, appeals to courage and clears the mind of superstition, while filling it with humility and true religion.

The best thing for being sad,” replied Merlyn, beginning to puff and blow, “is to learn something. That is the only thing that never fails. You may grow old and trembling in your anatomies, you may lie awake at night listening to the disorder of your veins, you may miss your only love, you may see the world about you devastated by evil lunatics, or know your honour trampled in the sewers of baser minds. There is only one thing for it then—to learn. Learn why the world wags and what wags it. That is the only thing which the mind can never exhaust, never alienate, never be tortured by, never fear or distrust, and never dream of regretting. Learning is the thing for you. Look at what a lot of things there are to learn—pure science, the only purity there is. You can learn astronomy in a lifetime, natural history in three, literature in six. And then, after you have exhausted a milliard lifetimes in biology and medicine and theocriticism and geography and history and economics—why, you can start to make a cartwheel out of the appropriate wood, or spend fifty years learning to begin to learn to beat your adversary at fencing. After that you can start again on mathematics, until it is time to learn to plough.

Nothing was affirmative, the term "generosity of spirit" applied to nothing, was a cliché, was some kind of bad joke. Sex is mathematics. Individuality no longer and issue. What does intelligence signify? Define reason. Desire-meaningless. Intellect is not a cure. Justice is dead. Fear, recrimination, innocence, sympathy, guilt, waste, failure, grief, were things, emotions, that no one really felt anymore. Reflection is useless, the world is senseless. Evil is its only permanence. God is not alive. Love cannot be trusted. Surface, surface, surface was all that anyone found meaning in...this was civilization as I saw it, colossal and jagged.

By the sound of things, you know nothing about mathematics.' 'You can put it like that. I'm utterly useless.' 'Useless is such a harsh word, you are merely... inexperienced. So I thought we could start at the beginning.' 'I'm not that stupid. I know how to add, subtract and multiply-' 'I don't mean that kind of beginning...

But then, the sky! Blue, untainted by a single cloud (the Ancientes had such barbarous tastes given that their poets could have been inspired by such stupid, sloppy, silly-lingering clumps of vapour). I love - and i'm certain that i'm not mistaken if i say we love - skies like this, sterile and flawless! On days like these, the whole world is blown from the same shatterproof, everlasting glass as the glass of the Green Wall and of all our structures. On days like these, you can see to the very blue depths of things, to their unknown surfaces, those marvelous expressions of mathematical equality - which exist in even the most usual and everyday objects.

Why do we care about singers? Wherein lies the power of songs? Maybe it derives from the sheer strangeness of there being singing in the world. The note, the scale, the chord; melodies, harmonies, arrangements; symphonies, ragas, chinese operas,jazz, the blues: that such things should exist, that we should have discovered the magical intervals and distances that yield the poor cluster of notes, all within the span of a human hand from which we can build our cathedrals of sound, is alchemical a mystery as mathematics, or wine, or love. Maybe the birds taught us. Maybe not. Maybe we are just creatures in search of exaltation. We don't have much of it. Our lives are not what we deserve; they are, let us agree, in many painful ways deficient. Song turns them into something else. Song shows us a world that is worthy of our yearning, it shows us our selves as they might be, if we were worthy of the world.

The laws of Nature are written in the language of mathematics.” Math is a way to describe reality and figure out how the world works, a universal language that has become the gold standard of truth. In our world, increasingly driven by science and technology, mathematics is becoming, ever more, the source of power, wealth, and progress. Hence those who are fluent in this new language will be on the cutting edge of progress.

The problem is that we don’t really know what we want until we find it. Unlike with Amazon or Netflix, where we truly know our tastes in films and other products, a questionnaire about our personal preferences just isn’t enough to predict who will make us happy. Ultimately, finding a partner is just a lot more complicated than buying a DVD box set.

I thought. I thought of the slow yellow autumn in the swamp and the high honey sun of spring and the eternal silence of the marshes, and the shivering light on them, and the whisper of the spartina and sweet grass in the wind and the little liquid splashes of who-knew-what secret creatures entering that strange old place of blood-warm half earth, half water. I thought of the song of all the birds that I knew, and the soft singsong of the coffee-skinned women who sold their coiled sweet-grass baskets in the market and on Meeting Street. I thought of the glittering sun on the morning harbor and the spicy, somehow oriental smells from the dark old shops, and the rioting flowers everywhere, heavy tropical and exotic. I thought of the clop of horses' feet on cobblestones and the soft, sulking, wallowing surf of Sullivan's Island in August, and the countless small vistas of grace and charm wherever the eye fell; a garden door, a peeling old wall, an entire symmetrical world caught in a windowpane. Charlestone simply could not manage to offend the eye. I thought of the candy colors of the old houses in the sunset, and the dark secret churchyards with their tumbled stones, and the puresweet bells of Saint Michael's in the Sunday morning stillness. I thought of my tottering piles of books in the study at Belleau and the nights before the fire when my father told me of stars and butterflies and voyages, and the silver music of mathematics. I thought of hot, milky sweet coffee in the mornings, and the old kitchen around me, and Aurelia's gold smile and quick hands and eyes rich with love for me.

And why are you so firmly, so triumphantly, convinced that only the normal and the positive—in other words, only what is conducive to welfare—is for the advantage of man? Is not reason in error as regards advantage? Does not man, perhaps, love something besides well-being? Perhaps he is just as fond of suffering? Perhaps suffering is just as great a benefit to him as well-being? Man is sometimes extraordinarily, passionately, in love with suffering, and that is a fact. [. . .] And yet I think man will never renounce real suffering, that is, destruction and chaos. Why, suffering is the sole origin of consciousness. Though I did lay it down at the beginning that consciousness is the greatest misfortune for man, yet I know man prizes it and would not give it up for any satisfaction. Consciousness, for instance, is infinitely superior to twice two makes four. Once you have mathematical certainty there is nothing left to do or to understand. There will be nothing left but to bottle up your five senses and plunge into contemplation.

In our household doubts more troubling than these were suffered in silence. The spiritual void I have seen in so many of Istanbul's rich, Westernised, secularist families is evident in these silences. Everyone talks openly about mathematics, success at school, football and having fun, but they grapple with the most basic questions of existence - love,compassion, religion, the meaning of life, jealousy, hatred - in trembling confusion and painful solitude. They light a cigarette, give their attention to the music on the radio, return wordlessly to their inner worlds.

There is a certain tyranny about perfection, a certain exhaustion about it even, something that denies the viewer a role in its creation and that asserts itself with all the dogmatism of an unambiguous statement. True beauty cannot be measured because it is fluctuating, it has only a few angles from which it may be seen, and then not in all lights and at all times. It flirts dangerously with ugliness, it takes risks with itself, it does not side comfortably with mathematical rules of proportion, it draws its appeal from precisely those areas that will also lend themselves to ugliness. Nothing can be beautiful that does not take a calculated risk with ugliness.

We most of us hesitate to make so complete a statement - we remember and we foresee and we doubt. She had no doubts. The moment only mattered. Eternity is said not to be an extension of time but an absence of time, and sometimes it seemed to me that her abandonment touched that strange mathematical point of endlessness, a point with no width, occupying no space. What did time matter - all the past and the other men she may from time to time (there is that word again) have known, or all the future in which she might be making the same statement with the same sense of truth? When I replied that I loved her too in that way, I was the liar, not she, for I never lose the consciousness of time: to me the present is never here: it is always last year or next week.

Certainly not! I didn't build a machine to solve ridiculous crossword puzzles! That's hack work, not Great Art! Just give it a topic, any topic, as difficult as you like..." Klapaucius thought, and thought some more. Finally he nodded and said: "Very well. Let's have a love poem, lyrical, pastoral, and expressed in the language of pure mathematics. Tensor algebra mainly, with a little topology and higher calculus, if need be. But with feeling, you understand, and in the cybernetic spirit." "Love and tensor algebra?" Have you taken leave of your senses?" Trurl began, but stopped, for his electronic bard was already declaiming: Come, let us hasten to a higher plane, Where dyads tread the fairy fields of Venn, Their indices bedecked from one to n, Commingled in an endless Markov chain! Come, every frustum longs to be a cone, And every vector dreams of matrices. Hark to the gentle gradient of the breeze: It whispers of a more ergodic zone. In Reimann, Hilbert or in Banach space Let superscripts and subscripts go their ways. Our asymptotes no longer out of phase, We shall encounter, counting, face to face. I'll grant thee random access to my heart, Thou'lt tell me all the constants of thy love; And so we two shall all love's lemmas prove, And in bound partition never part. For what did Cauchy know, or Christoffel, Or Fourier, or any Boole or Euler, Wielding their compasses, their pens and rulers, Of thy supernal sinusoidal spell? Cancel me not--for what then shall remain? Abscissas, some mantissas, modules, modes, A root or two, a torus and a node: The inverse of my verse, a null domain. Ellipse of bliss, converge, O lips divine! The product of our scalars is defined! Cyberiad draws nigh, and the skew mind Cuts capers like a happy haversine. I see the eigenvalue in thine eye, I hear the tender tensor in thy sigh. Bernoulli would have been content to die, Had he but known such a^2 cos 2 phi!

A man may possess a profound knowledge of history and mathematics; he may be an authority in psychology, biology, or astronomy; he may know all the discovered truths pertaining to geology and natural science; but if he has not with this knowledge that nobility of soul which prompts him to deal justly with his fellow men, to practice virtue and holiness in personal life, he is not a truly educated man. "Character is the aim of true education; and science, history, and literature are but means used to accomplish the desired end. Character is not the result of chance work but of continuous right thinking and right acting. "True education seeks, then, to make men and women not only good mathematicians, proficient linguists, profound scientists, or brilliant literary lights, but also honest men, combined with virtue, temperance, and brotherly love-men and women who prize truth, justice, wisdom, benevolence, and self-control as the choicest acquisitions of a successful life.

When will you ask for your post back?” he whispered in her ear. “I miss the smell of industrial-strength solvents.” She laughed softly. “Soon. And when will you have papers read at the mathematical society again? I rather like having my husband called a genius for reasons that are not clear to me.” My husband. The words rolled off her tongue, easy and beautiful. He kissed her fervently. “Soon. My brilliance quite overflowed on the way home. I have four notebooks to show for it.” “Good. We don’t want people to think I love you for your looks alone.” “In that case we should also put you in some rather revealing gowns once in a while, so that people don’t think I married you for your accomplishments alone.

God rewards the soul that focuses on Him with attention and love, and God rewards that soul by exercising a rigorous compulsion on it, mathematically proportional to this attention and love. We must abandon ourselves to this pressure, and run to the precise point where it leads, and not a single step further, not even in the direction of what is good. At the same time, we must continue to focus on God, with ever more love and attention, and in this way obtain an even greater compulsion — to become an object of a compulsion that possesses for itself a perpetually growing portion of the soul. Once God’s compulsion possesses the whole soul, one has reached the state of perfection. But no matter what degree we reach, we must not accomplish anything beyond what we are irresistibly pressured (compelled) to do, not even in the way of good.

This was the geography around which my reality revolved: it did not occur to me, ever, that people were good or that a man was capable of change or that the world could be a better place through one’s taking pleasure in a feeling or a look or a gesture, of receiving another person’s love or kindness. Nothing was affirmative, the term “generosity of spirit” applied to nothing, was a cliche, was some kind of bad joke. Sex is mathematics. Individuality no longer an issue. What does intelligence signify? Define reason. Desire—meaningless. Intellect is not a cure. Justice is dead. Fear, recrimination, innocence, sympathy, guilt, waste, failure, grief, were things, emotions, that no one really felt anymore. Reflection is useless, the world is senseless. Evil is its only permanence. God is not alive. Love cannot be trusted. Surface, surface, surface was all that anyone found meaning in … this was civilization as I saw it, colossal and jagged …

No muscles without strength, friendship without trust, opinion without consequence, change without aesthetics, age without values, life without effort, water without thirst, food without nourishment, love without sacrifice, power without fairness, facts without rigor, statistics without logic, mathematics without proof, teaching without experience, politeness without warmth, values without embodiment, degrees without erudition, militarism without fortitude, progress without civilization, friendship without investment, virtue without risk, probability without ergodicity, wealth without exposure, complication without depth, fluency without content, decision without asymmetry, science without skepticism, religion without tolerance, and, most of all: nothing without skin in the game.

...where there was nature and earth, life and water, I saw a desert landscape that was unending, resembling some sort of crater, so devoid of reason and light and spirit that the mind could not grasp it on any sort of conscious level and if you came close the mind would reel backward, unable to take it in. It was a vision so clear and real and vital to me that in its purity it was almost abstract. This was what I could understand, this was how I lived my life, what I constructed my movement around, how I dealt with the tangible. This was the geography around which my reality revolved: it did not occur to me, ever, that people were good or that a man was capable of change or that the world could be a better place through one's taking pleasure in a feeling or a look or a gesture, of receiving another person's love or kindness. Nothing was affirmative, the term "generosity of spirit" applied to nothing, was a cliche, was some kind of bad joke. Sex is mathematics. Individuality no longer an issue. What does intelligence signify? Define reason. Desire - meaningless. Intellect is not a cure. Justice is dead. Fear, recrimination, innocence, sympathy, guilt, waste, failure, grief, were things, emotions, that no one really felt anymore. Reflection is useless, the world is senseless. Evil is its only permanence. God is not alive. Love cannot be trusted. Surface, surface, surface was all that anyone found meaning in... this was civilization as I saw it, colossal and jagged...

People who interfered in your life always did it for your own good and I figured it out finally that what they wanted was for you to conform completely and never differ from some accepted surface standard and then dissipate the way traveling salesmen would at a convention in every stupid and boring way there was. They knew nothing of our pleasures nor how much fun it was to be damned to ourselves and never would know nor could know. Our pleasures, which were those of being in love, were as simple and still as mysterious and complicated as a simple mathematical formula that can mean all happiness or can mean the end of the world. That is the sort of happiness you should not tinker with but nearly everyone you knew tried to adjust.

Faith in God, then, is not at all the same as the kind of logical certainty that we attain in Euclidean geometry. God is not the conclusion to a process of reasoning, the solution to a mathematical problem. To believe in God is not to accept the possibility of his existence because it has been “proved” to us by some theoretical argument, but it is to put our trust in One whom we know and love. Faith is not the supposition that something might be true, but the assurance that someone is there.

The world of being is unchangeable, rigid, exact, delightful to the mathematician, the logician, the builder of metaphysical systems, and all who love perfection more than life. The world of existence is fleeting, vague, without sharp boundaries, without any clear plan or arrangement, but it contains all thoughts and feelings, all the data of sense, and all physical objects, everything that can do either good or harm, everything that makes any difference to the value of life and the world. According to our temperaments, we shall prefer the contemplation of the one or of the other.

I had a chat with May and I had a sweet talk with April but the lovely conversation that left me to ponder was the long talk I had with June. Mathematics came to tell me that May is 3, June is 4 and April is 5. ‘ This should have been the counting order’ Mathematics said to me, and added, if you add 3 and 5 you shall surely get 8 and if you find the mid of 8 you will get 4 which is June. Ask June why the disorder! So I quickly called June and asked, why have you change the order? June said, ‘my brother, in this era, you should least give men things which are in order. Let them ponder and put things in order and they will learn something better’. I had to ponder and wonder. Then June added, those who will ponder to know why I have change the order to be at the mid of the other shall get to the mid of the other and wonder why they are at the mid of the other and end the other in wonder but, those who would never see why they must ponder when they get to the mid of the other to know why I am there shall end the other in disorder. They shall end the other and wander in the end! I was quick to ask June, which other? June calmly said, the twelve disciples of the year. Disciples’? I asked. June quickly said, I mean months! In your journey of life, take a break as you journey and ponder over the journey; June concluded!

Meanwhile, someplace in the world, somebody is making love and another a poem. Elsewhere in the universe, a star manyfold the mass of our third-rate sun is living out its final moments in a wild spin before collapsing into a black hole, its exhale bending spacetime itself into a well of nothingness that can swallow every atom that ever touched us and every datum we ever produced, every poem and statue and symphony we’ve ever known—an entropic spectacle insentient to questions of blame and mercy, devoid of why. “In four billion years, our own star will follow its fate, collapsing into a white dwarf. We exist only by chance, after all. The Voyager will still be sailing into the interstellar shorelessness on the wings of the “heavenly breezes” Kepler had once imagined, carrying Beethoven on a golden disc crafted by a symphonic civilization that long ago made love and war and mathematics on a distant blue dot. But until that day comes, nothing once created ever fully leaves us. Seeds are planted and come abloom generations, centuries, civilizations later, migrating across coteries and countries and continents. Meanwhile, people live and people die—in peace as war rages on, in poverty and disrepute as latent fame awaits, with much that never meets its more, in shipwrecked love. I will die. You will die. The atoms that huddled for a cosmic blink around the shadow of a self will return to the seas that made us. What will survive of us are shoreless seeds and stardust.

The best thing for being sad,’ replied Merlyn, beginning to puff and blow, ‘is to learn something. That is the only thing that never fails. You may grow old and trembling in you anatomies, you may lie awake at night listening to the disorder of your veins, you may miss your only love, you may see the world about you devastated by evil lunatics, or know your honour trampled in the sewers of baser minds. There is only one thing for it then – to learn. Learn why the world wags and what wags in it. That is the only thing which the mind can never exhaust, never alienate, never be tortured by, never fear or distrust, and never dream of regretting. Learning is the thing for you. Look at what a lot of things there are to learn – pure science, the only purity there is. You can learn astronomy in a lifetime, natural history in three, literature in six. And then, after you have exhausted a milliard lifetimes in biology and medicine and theocriticism and geography and history and economics – why, you can start to make a cartwheel out of the appropriate wood, or spend fifty years learning to begin to learn to beat your adversary at fencing. After that you can start again on mathematics, until it is time to learn to plough.

But man is a frivolous and incongruous creature, and perhaps, like a chess player, loves the process of the game, not the end of it. And who knows (there is no saying with certainty), perhaps the only goal on earth to which mankind is striving lies in this incessant process of attaining, in other words, in life itself, and not in the thing to be attained, which must always be expressed as a formula, as positive as twice two makes four, and such positiveness is not life, gentlemen, but is the beginning of death. Anyway, man has always been afraid of this mathematical certainty, and I am afraid of it now. Granted that man does nothing but seek that mathematical certainty, he traverses oceans, sacrifices his life in the quest, but to succeed, really to find it, dreads, I assure you. He feels that when he has found it there will be nothing for him to look for. When workmen have finished their work they do at least receive their pay, they go to the tavern, then they are taken to the police-station–and there is occupation for a week. But where can man go? Anyway, one can observe a certain awkwardness about him when he has attained such objects. He loves the process of attaining, but does not quite like to have attained, and that, of course, is very absurd. In fact, man is a comical creature; there seems to be a kind of jest in it all. But yet mathematical certainty is after all, something insufferable. Twice two makes four seems to me simply a piece of insolence. Twice two makes four is a pert coxcomb who stands with arms akimbo barring your path and spitting. I admit that twice two makes four is an excellent thing, but if we are to give everything its due, twice two makes five is sometimes a very charming thing too.

And so to read is, in truth, to be in the constant act of creation. The old lady on the bus with her Orwell, the businessman on the Tube with Patricia Cornwell, the teenager roaring through Capote -- they are not engaged in idle pleasure. Their heads are on fire. Their hearts are flooding. With a book, you are the landscape, the sets, the snow, the hero, the kiss -- you are the mathematical calculation the plots the trajectory of the blazing, crashing zeppelin. You -- pale, punchable reader -- are terraforming whole worlds in your head, which will remain with you until the day you die. These books are as much a part of you as your guts and your bone. And when your guts fail and your bones break, Narnia, or Jamaica Inn, or Gormenghast will still be there; as pin-sharp and bright as the day you first imagined them -- hiding under the bedclothes, sitting on the bus. Exhausted, on a rainy day, weeping over the death of someone you never met, and who was nothing more than words until you transformed them with your time, and your love, and the imagination you constantly dismiss as "just being a bit of a bookworm.

But she knew it would never happen. She had no intention of visiting him there. Even if she were open to the idea, as Mom and Dad both hoped she would be, the mathematics of it seemed utterly impossible to her. What was she supposed to do, spend Christmas there and Easter here? See her dad every other holiday and one week during the summer, just enough to glimpse his new life in fragments, tiny slivers of a world she had no part in? And all the while missing out on those moments of her mom’s life—her mom, who’d done nothing to deserve to spend Christmas alone? That, it seemed to Hadley, was no way to live. Perhaps if there were more time, or if time were more malleable; if she could be both places at once, live parallel lives; or, simpler yet, if Dad would just come home. Because as far as she was concerned, there was no in-between: She wanted all or nothing, illogically, irrationally, even though something inside of her knew that nothing would be too hard, and all was impossible.

Questioner: I am full of hate. Will you please teach me how to love? KRISHNAMURTI: No one can teach you how to love. If people could be taught how to love, the world problem would be very simple, would it not? If we could learn how to love from a book as we learn mathematics, this would be a marvellous world; there would be no hate, no exploitation, no wars, no division of rich and poor, and we would all be really friendly with each other. But love is not so easily come by. It is easy to hate, and hate brings people together after a fashion; it creates all kinds of fantasies, it brings about various types of cooperation as in war. But love is much more difficult. You cannot learn how to love, but what you can do is to observe hate and put it gently aside. Don’t battle against hate, don’t say how terrible it is to hate people, but see hate for what it is and let it drop away; brush it aside, it is not important. What is important is not to let hate take root in your mind. Do you understand? Your mind is like rich soil, and if given sufficient time any problem that comes along takes root like a weed, and then you have the trouble of pulling it out; but if you do not give the problem sufficient time to take root, then it has no place to grow and it will wither away. If you encourage hate, give it time to take root, to grow, to mature, it becomes an enormous problem. But if each time hate arises you let it go by, then you will find that your mind becomes very sensitive without being sentimental; therefore it will know love. The mind can pursue sensations, desires, but it cannot pursue love. Love must come to the mind. And, when once love is there, it has no division as sensuous and divine: it is love. That is the extraordinary thing about love: it is the only quality that brings a total comprehension of the whole of existence.

Sometimes it's hard because I don't like to hurt people's feelings. So there have been times when a friend will get a haircut and I will see it and my initial reaction is "Oh my God, you look like a streetwalker who got caught in a wind tunnel." But I obviously can't say that because that would be an insult to streetwalkers. So I have to say, "I love it! It looks great!" But when I say it my voice goes up about three octaves. "It looks greee-aaattt!" So I'm certain they know I'm lying. How come when we lie our voices go up so many octaves? It's a dead giveaway. It happens when we dole out compliments we don't mean and it happens when we say things like "You didn't have to get my anything!" or "What do you mean you weren't invited to my party? You're always invited!" Everyone knows what those mean. "You definitely had to get me something" and "You haven't been invited back to the house since the urn incident of '04." And it's a mathematical fact: the higher the octave, the bigger the lie. "I didn't even hear my phone ring!" is usually like a four on the scale. "You think I'm sleeping with someone else?" is off the charts. I can tell when people are lying to me when they start their sentence with "I have to be honest with you." They may as well say, "Listen, I'm about to lie straight to your face." Why do people need to clarify when they're being honest? Does that mean everything else they've ever said has been a lie? Yesterday they said they liked my sweater but they didn't say they were being honest. Does that mean they hated it? It's so strange to me. It almost feels like they're giving me the option to not hear the truth. As if when they say, "I have to be honest with you," I might say, "No, no. Please. Only lies right now.

He was beautiful when he sat alone, he was like me, he had wide lapels, he was holding the mug in the hardest possible way so that his fingers were all twisted but still long and beautiful, he didn’t like to sit alone all the time, but this time, I swear, he didn’t care on way or the other. I’ll tell you why I like to sit alone, because I’m a sadist, that’s why we like to sit alone, because we’re the sadists who like to sit alone. He sat alone because he was beautifully dressed for the occasion and because he was not a civilian. We are the sadists you don’t have to worry about, you think, and we have no opinion on the matter of whether you have to worry about us, and we don’t even like to think about the matter because it baffles us. Maybe he doesn’t mean a thing to me any more but I think he was like me. You didn’t expect to fall in love, I said to myself and at the same time I answered gently, Do you think so? I heard you humming beautifully, your hum said that I can’t ignore you, that I’d finally come around for a number of delicious reasons that only you knew about, and here I am, Miss Blood. And you won’t come back, you won’t come back to where you left me, and that’s why you keep my number, so you don’t dial it by mistake when you’re fooling with the dial not even dialing numbers. You begin to bore us with your pain and we have decided to change your pain. You said you were happiest when you danced, you said you were happiest when you danced with me, now which do you mean? And so we changed his pain, we threw the idea of a body at him and we told him a joke, and then he thought a great deal about laughing and about the code. And he thought that she thought that he thought that she thought the worst thing a woman could do was to take a man away from his work because that made her what, ugly or beautiful? And now you’ve entered the mathematical section of your soul which you claimed you never had. I suppose that this, plus the broken heart, makes you believe that now you have a perfect right to go out and tame the sadists. He had the last line of each verse of the song but he didn’t have any of the other lines, the last line was always the same, Don’t call yourself a secret unless you mean to keep it. He thought he knew, or he actually did know too much about singing to be a singer; and if there is actually such a condition, is anybody in it, and are sadists born there? It is not a question mark, it is not an exclamation point, it is a full stop by the man who wrote Parasites of Heaven. Even if we stated our case very clearly and all those who held as we do came to our side, all of them, we would still be very few.

Of course, I’ve only brought up two examples. Other universal laws of physics have been used as weapons as well, though we don’t know all of them. It’s very possible that every law of physics has been weaponized. It’s possible that in some parts of the universe, even … Forget it, I don’t even believe that.” “What were you going to say?” “The foundation of mathematics.” Cheng Xin tried to imagine it, but it was simply impossible. “That’s … madness.” Then she asked, “Will the universe turn into a war ruin? Or, maybe it’s more accurate to ask: Will the laws of physics turn into war ruins?” “Maybe they already are.… The physicists and cosmologists of the new world are focused on trying to recover the original appearance of the universe before the wars more than ten billion years ago. They’ve already constructed a fairly clear theoretical model describing the pre-war universe. That was a really lovely time, when the universe itself was a Garden of Eden. Of course, the beauty could only be described mathematically. We can’t picture it: Our brains don’t have enough dimensions.” Cheng Xin thought back to the conversation with the Ring again. Did you build this four-dimensional fragment? You told me that you came from the sea. Did you build the sea? “You are saying that the universe of the Edenic Age was four-dimensional, and that the speed of light was much higher?” “No, not at all. The universe of the Edenic Age was ten-dimensional. The speed of light back then wasn’t only much higher—rather, it was close to infinity. Light back then was capable of action at a distance, and could go from one end of the cosmos to the other within a Planck time.… If you had been to four-dimensional space, you would have some vague hint of how beautiful that ten-dimensional Garden must have been.” “You’re saying—” “I’m not saying anything.” Yifan seemed to have awakened from a dream. “We’ve only seen small hints; everything else is just guessing. You should treat it as a guess, just a dark myth we’ve made up.” But Cheng Xin continued to follow the course of the discussion taken so far. “—that during the wars after the Edenic Age, one dimension after another was imprisoned from the macroscopic into the microscopic, and the speed of light was reduced again and again.…” “As I said, I’m not saying anything, just guessing.” Yifan’s voice grew softer. “But no one knows if the truth is even darker than our guesses.… We are certain of only one thing: The universe is dying.” The

Finding a taxi, she felt like a child pressing her nose to the window of a candy store as she watched the changing vista pass by while the twilight descended and the capital became bathed in a translucent misty lavender glow. Entering the city from that airport was truly unique. Charles de Gaulle, built nineteen miles north of the bustling metropolis, ensured that the final point of destination was veiled from the eyes of the traveller as they descended. No doubt, the officials scrupulously planned the airport’s location to prevent the incessant air traffic and roaring engines from visibly or audibly polluting the ambience of their beloved capital, and apparently, they succeeded. If one flew over during the summer months, the visitor would be visibly presented with beautifully managed quilt-like fields of alternating gold and green appearing as though they were tilled and clipped with the mathematical precision of a slide rule. The countryside was dotted with quaint villages and towns that were obviously under meticulous planning control. When the aircraft began to descend, this prevailing sense of exactitude and order made the visitor long for an aerial view of the capital city and its famous wonders, hoping they could see as many landmarks as they could before they touched ground, as was the usual case with other major international airports, but from this point of entry, one was denied a glimpse of the city below. Green fields, villages, more fields, the ground grew closer and closer, a runway appeared, a slight bump or two was felt as the craft landed, and they were surrounded by the steel and glass buildings of the airport. Slightly disappointed with this mysterious game of hide-and-seek, the voyager must continue on and collect their baggage, consoled by the reflection that they will see the metropolis as they make their way into town. For those travelling by road, the concrete motorway with its blue road signs, the underpasses and the typical traffic-logged hubbub of industrial areas were the first landmarks to greet the eye, without a doubt, it was a disheartening first impression. Then, the real introduction began. Quietly, and almost imperceptibly, the modern confusion of steel and asphalt was effaced little by little as the exquisite timelessness of Parisian heritage architecture was gradually unveiled. Popping up like mushrooms were cream sandstone edifices filigreed with curled, swirling carvings, gently sloping mansard roofs, elegant ironwork lanterns and wood doors that charmed the eye, until finally, the traveller was completely submerged in the glory of the Second Empire ala Baron Haussmann’s master plan of city design, the iconic grand mansions, tree-lined boulevards and avenues, the quaint gardens, the majestic churches with their towers and spires, the shops and cafés with their colourful awnings, all crowded and nestled together like jewels encrusted on a gold setting.

We all love stories, even if they’re not true. As we grow up, one of the ways we learn about the world is through the stories we hear. Some are about particular events and personalities within our personal circles of family and friends. Some are part of the larger cultures we belong to—the myths, fables, and fairy tales about our own ways of life that have captivated people for generations. In stories that are told often, the line between fact and myth can become so blurred that we easily mistake one for the other. This is true of a story that many people believe about education, even though it’s not real and never really was. It goes like this: Young children go to elementary school mainly to learn the basic skills of reading, writing, and mathematics. These skills are essential so they can do well academically in high school. If they go on to higher education and graduate with a good degree, they’ll find a well-paid job and the country will prosper too.

Among this bewildering multiplicity of ideals which shall we choose? The answer is that we shall choose none. For it is clear that each one of these contradictory ideals is the fruit of particular social circumstances. To some extent, of course, this is true of every thought and aspiration that has ever been formulated. Some thoughts and aspirations, however, are manifestly less dependent on particular social circumstances than others. And here a significant fact emerges: all the ideals of human behaviour formulated by those who have been most successful in freeing themselves from the prejudices of their time and place are singularly alike. Liberation from prevailing conventions of thought, feeling and behaviour is accomplished most effectively by the practice of disinterested virtues and through direct insight into the real nature of ultimate reality. (Such insight is a gift, inherent in the individual; but, though inherent, it cannot manifest itself completely except where certain conditions are fulfilled. The principal pre-condition of insight is, precisely, the practice of disinterested virtues.) To some extent critical intellect is also a liberating force. But the way in which intellect is used depends upon the will. Where the will is not disinterested, the intellect tends to be used (outside the non-human fields of technology, science or pure mathematics) merely as an instrument for the rationalization of passion and prejudice, the justification of self-interest. That is why so few even of die acutest philosophers have succeeded in liberating themselves completely from the narrow prison of their age and country. It is seldom indeed that they achieve as much freedom as the mystics and the founders of religion. The most nearly free men have always been those who combined virtue with insight. Now, among these freest of human beings there has been, for the last eighty or ninety generations, substantial agreement in regard to the ideal individual. The enslaved have held up for admiration now this model of a man, now that; but at all times and in all places, the free have spoken with only one voice. It is difficult to find a single word that will adequately describe the ideal man of the free philosophers, the mystics, the founders of religions. 'Non-attached* is perhaps the best. The ideal man is the non-attached man. Non-attached to his bodily sensations and lusts. Non-attached to his craving for power and possessions. Non-attached to the objects of these various desires. Non-attached to his anger and hatred; non-attached to his exclusive loves. Non-attached to wealth, fame, social position. Non-attached even to science, art, speculation, philanthropy. Yes, non-attached even to these. For, like patriotism, in Nurse Cavel's phrase, 'they are not enough, Non-attachment to self and to what are called 'the things of this world' has always been associated in the teachings of the philosophers and the founders of religions with attachment to an ultimate reality greater and more significant than the self. Greater and more significant than even the best things that this world has to offer. Of the nature of this ultimate reality I shall speak in the last chapters of this book. All that I need do in this place is to point out that the ethic of non-attachment has always been correlated with cosmologies that affirm the existence of a spiritual reality underlying the phenomenal world and imparting to it whatever value or significance it possesses.

I always felt that someone, a long time ago, organized the affairs of the world into areas that made sense-catagories of stuff that is perfectible, things that fit neatly in perfect bundles. The world of business, for example, is this way-line items, spreadsheets, things that add up, that can be perfected. The legal system-not always perfect, but nonetheless a mind-numbing effort to actually write down all kinds of laws and instructions that cover all aspects of being human, a kind of umbrella code of conduct we should all follow. Perfection is crucial in building an aircraft, a bridge, or a high-speed train. The code and mathematics residing just below the surface of the Internet is also this way. Things are either perfectly right or they will not work. So much of the world we work and live in is based upon being correct, being perfect. But after this someone got through organizing everything just perfectly, he (or probably a she) was left with a bunch of stuff that didn't fit anywhere-things in a shoe box that had to go somewhere. So in desperation this person threw up her arms and said, 'OK! Fine. All the rest of this stuff that isn't perfectible, that doesn't seem to fit anywhere else, will just have to be piled into this last, rather large, tattered box that we can sort of push behind the couch. Maybe later we can come back and figure where it all is supposed to fit in. Let's label the box ART.' The problem was thankfully never fixed, and in time the box overflowed as more and more art piled up. I think the dilemma exists because art, among all the other tidy categories, most closely resembles what it is like to be human. To be alive. It is our nature to be imperfect. The have uncategorized feelings and emotions. To make or do things that don't sometimes necessarily make sense. Art is all just perfectly imperfect. Once the word ART enters the description of what you're up to , it is almost getting a hall pass from perfection. It thankfully releases us from any expectation of perfection. In relation to my own work not being perfect, I just always point to the tattered box behind the couch and mention the word ART, and people seem to understand and let you off the hook about being perfect a go back to their business.

In Tibet, we have a traditional image, the windhorse, which represents a balanced relationship between the wind and the mind. The horse represents wind and movement. On its saddle rides a precious jewel. That jewel is our mind. A jewel is a stone that is clear and reflects light. There is a solid, earthly element to it. You can pick it up in your hand, and at the same time you can see through it. These qualities represent the mind: it is both tangible and translucent. The mind is capable of the highest wisdom. It can experience love and compassion, as well as anger. It can understand history, philosophy, and mathematics—and also remember what’s on the grocery list. The mind is truly like a wish-fulfilling jewel. With an untrained mind, the thought process is said to be like a wild and blind horse: erratic and out of control. We experience the mind as moving all the time—suddenly darting off, thinking about one thing and another, being happy, being sad. If we haven’t trained our mind, the wild horse takes us wherever it wants to go. It’s not carrying a jewel on its back—it’s carrying an impaired rider. The horse itself is crazy, so it is quite a bizarre scene. By observing our own mind in meditation, we can see this dynamic at work. Especially in the beginning stages of meditation, we find it extremely challenging to control our mind. Even if we wish to control it, we have very little power to do so, like the infirm rider. We want to focus on the breathing, but the mind keeps darting off unexpectedly. That is the wild horse. The process of meditation is taming the horse so that it is in our control, while making the mind an expert rider.

To change the subject, he tells them about Dr. Kashen’s funeral, where Dr. Li gave a eulogy. “People who don’t love math always accuse mathematicians of trying to make math complicated,” Dr. Li had said. “But anyone who does love math knows it’s really the opposite: math rewards simplicity, and mathematicians value it above all else. So it’s no surprise that Walter’s favorite axiom was also the most simple in the realm of mathematics: the axiom of the empty set. “The axiom of the empty set is the axiom of zero. It states that there must be a concept of nothingness, that there must be the concept of zero: zero value, zero items. Math assumes there’s a concept of nothingness, but is it proven? No. But it must exist. “And if we are being philosophical—which we today are—we can say that life itself is the axiom of the empty set. It begins in zero and ends in zero. We know that both states exist, but we will not be conscious of either experience: they are states that are necessary parts of life, even as they cannot be experienced as life. We assume the concept of nothingness, but we cannot prove it. But it must exist. So I prefer to think that Walter has not died but has instead proven for himself the axiom of the empty set, that he has proven the concept of zero. I know nothing else would have made him happier. An elegant mind wants elegant endings, and Walter had the most elegant mind. So I wish him goodbye; I wish him the answer to the axiom he so loved.” They

It as mathematical, marriage, not, as one might expect, additional; it was exponential. This one man, nervous in a suite a size too small for his long, lean self, this woman, in a green lace dress cut to the upper thigh, with a white rose behind her ear. Christ, so young. The woman before them was a unitarian minister, and on her buzzed scalp, the grey hairs shone in a swab of sun through the lace in the window. Outside, Poughkeepsie was waking. Behind them, a man in a custodian's uniform cried softly beside a man in pajamas with a Dachshund, their witnesses, a shine in everyone's eye. One could taste the love on the air, or maybe that was sex, or maybe that was all the same then. 'I do,' she said. 'I do,' he said. They did. They would. Our children will be so fucking beautiful, he thought, looking at her. Home, she thought, looking at him. 'You may kiss,' said the officiant. They did, would. Now they thanked everyone and laughed, and papers were signed and congratulations offered, and all stood for a moment, unwilling to leave this gentile living room where there was such softness. The newlyweds thanked everyone again, shyly, and went out the door into the cool morning. They laughed, rosy. In they'd come integers, out they came, squared. Her life, in the window, the parakeet, scrap of blue midday in the London dusk, ages away from what had been most deeply lived. Day on a rocky beach, creatures in the tide pool. All those ordinary afternoons, listening to footsteps in the beams of the house, and knowing the feeling behind them. Because it was so true, more than the highlights and the bright events, it was in the daily where she'd found life. The hundreds of time she'd dug in her garden, each time the satisfying chew of spade through soil, so often that this action, the pressure and release and rich dirt smell delineated the warmth she'd felt in the cherry orchard. Or this, each day they woke in the same place, her husband waking her with a cup of coffee, the cream still swirling into the black. Almost unremarked upon this kindness, he would kiss her on the crown of her head before leaving, and she'd feel something in her rising in her body to meet him. These silent intimacies made their marriage, not the ceremonies or parties or opening nights or occasions, or spectacular fucks. Anyway, that part was finished. A pity...

Discreet as you are, Rohan, one can’t help but notice how ardently you are pursued. It seems you hold quite an appeal for the ladies of London. And from all appearances, you’ve taken full advantage of what’s been offered.” Cam stared at him without expression. “Pardon, but are you leading to an actual point, my lord?” Leaning back in his chair, St. Vincent made a temple of his elegant hands and regarded Cam steadily. “Since you’ve had no problem with lack of desire in the past, I can only assume that, as happens with other appetites, yours has been sated with an overabundance of sameness. A bit of novelty may be just the thing.” Considering the statement, which actually made sense, Cam wondered if the notorious former rake had ever been tempted to stray. Having known Evie since childhood, when she had come to visit her widowed father at the club from time to time, Cam felt as protective of her as if she’d been his younger sister. No one would have paired the gentle-natured Evie with such a libertine. And perhaps no one had been as surprised as St. Vincent himself to discover their marriage of convenience had turned into a passionate love match. “What of married life?” Cam asked softly. “Does it eventually become an overabundance of sameness?” St. Vincent’s expression changed, the light blue eyes warming at the thought of his wife. “It has become clear to me that with the right woman, one can never have enough. I would welcome an overabundance of such bliss—but I doubt such a thing is mortally possible.” Closing the account book with a decisive thud, he stood from the desk. “If you’ll excuse me, Rohan, I’ll bid you good night.” “What about finishing the accounting?” “I’ll leave the rest in your capable hands.” At Cam’s scowl, St. Vincent shrugged innocently. “Rohan, one of us is an unmarried man with superior mathematical abilities and no prospects for the evening. The other is a confirmed lecher in an amorous mood, with a willing and nubile young wife waiting at home. Who do you think should do the damned account books?” And, with a nonchalant wave, St. Vincent had left the office.

In South Texas I saw three interesting things. The first was a tiny girl, maybe ten years old, driving in a 1965 Cadillac. She wasn't going very fast, because I passed her, but still she was cruising right along, with her head tilted back and her mouth open and her little hands gripping the wheel. Then I saw an old man walking up the median strip pulling a wooden cross behind him. It was mounted on something like a golf cart with two spoked wheels. I slowed down to read the hand-lettered sign on his chest. JACKSONVILLE FLA OR BUST I had never been to Jacksonville but I knew it was the home of the Gator Bowl and I had heard it was a boom town, taking in an entire county or some such thing. It seemed an odd destination for a religious pilgrim. Penance maybe for some terrible sin, or some bargain he had worked out with God, or maybe just a crazed hiker. I waved and called out to him, wishing him luck, but he was intent on his marching and had no time for idle greetings. His step was brisk and I was convinced he wouldn't bust. The third interesting thing was a convoy of stake-bed trucks all piled high with loose watermelons and cantaloupes. I was amazed. I couldn't believe that the bottom ones weren't crushed under all that weight, exploding and spraying hazardous melon juice onto the highway. One of nature's tricks with curved surfaces. Topology! I had never made it that far in mathematics and engineering studies, and I knew now that I never would, just as I knew that I would never be a navy pilot or a Treasury agent. I made a B in Statics but I was failing in Dynamics when I withdrew from the field. The course I liked best was one called Strength of Materials. Everybody else hated it because of all the tables we had to memorize but I loved it, the sheared beam. I had once tried to explain to Dupree how things fell apart from being pulled and compressed and twisted and bent and sheared but he wouldn't listen. Whenever that kind of thing came up, he would always say - boast, the way those people do - that he had no head for figures and couldn't do things with his hands, slyly suggesting the presence of finer qualities.