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The true work of the mathematician is not experienced until the later parts of graduate school, when the student is challenged to create knowledge in the form of a novel proof. It is common to fill page after page with an attempt, the seasons turning, only to arrive precisely where you began, empty-handed — or to realize that a subtle flaw of logic doomed the whole enterprise from its outset. The steady state of mathematical research is to be completely stuck. It is a process that Charles Fefferman of Princeton, himself a onetime math prodigy turned Fields medalist, likens to ‘‘playing chess with the devil.’’ The rules of the devil’s game are special, though: The devil is vastly superior at chess, but, Fefferman explained, you may take back as many moves as you like, and the devil may not. You play a first game, and, of course, ‘‘he crushes you.’’ So you take back moves and try something different, and he crushes you again, ‘‘in much the same way.’’ If you are sufficiently wily, you will eventually discover a move that forces the devil to shift strategy; you still lose, but — aha! — you have your first clue.

Tao has emerged as one of the field’s great bridge-­builders. At the time of his Fields Medal, he had already made discoveries with more than 30 different collaborators. Since then, he has also become a prolific math blogger with a decidedly non-­Gaussian ebullience: He celebrates the work of others, shares favorite tricks, documents his progress and delights at any corrections that follow in the comments. He has organized cooperative online efforts to work on problems. ‘‘Terry is what a great 21st-­century mathematician looks like,’’ Jordan Ellenberg, a mathematician at the University of Wisconsin, Madison, who has collaborated with Tao, told me. He is ‘‘part of a network, always communicating, always connecting what he is doing with what other people are doing.’’

As a group, the people drawn to mathematics tend to value certainty and logic and a neatness of outcome, so this game becomes a special kind of torture. And yet this is what any ­would-be mathematician must summon the courage to face down: weeks, months, years on a problem that may or may not even be possible to unlock. You find yourself sitting in a room without doors or windows, and you can shout and carry on all you want, but no one is listening.

For their work, Tao and Green salvaged a crucial bit from an earlier proof done by others, which had been discarded as incorrect, and aimed at a different goal. Other maneuvers came from masterful proofs by Timothy Gowers of England and Endre Szemeredi of Hungary. Their work, in turn, relied on contributions from Erdos, Klaus Roth and Frank Ramsey, an Englishman who died at age 26 in 1930, and on and on, into history. Ask mathematicians about their experience of the craft, and most will talk about an intense feeling of intellectual camaraderie. ‘‘A very central part of any mathematician’s life is this sense of connection to other minds, alive today and going back to Pythagoras,’’ said Steven Strogatz, a professor of mathematics at Cornell University. ‘‘We are having this conversation with each other going over the millennia.’’

Most mathematicians tend to specialize, but Tao ranges widely, learning from others and then working with them to make discoveries. Markus Keel, a longtime collaborator and close friend, reaches to science fiction to explain Tao’s ability to rapidly digest and employ mathematical ideas: Seeing Tao in action, Keel told me, reminds him of the scene in ‘‘The Matrix’’ when Neo has martial arts downloaded into his brain and then, opening his eyes, declares, ‘‘I know kung fu.’’ The citation for Tao’s Fields Medal, awarded in 2006, is a litany of boundary hopping and notes particularly ‘‘beautiful work’’ on Horn’s conjecture, which Tao completed with a friend he had played foosball with in graduate school. It was a new area of mathematics for Tao, at a great remove from his known stamping grounds. ‘‘This is akin,’’ the citation read, ‘‘to a leading English-­language novelist suddenly producing the definitive Russian novel.’’

An effort to prove that 1 equals 0 is not likely to yield much fruit, it’s true, but the hacker’s mind-set can be extremely useful when doing math. Long ago, mathematicians invented a number that when multiplied by itself equals negative 1, an idea that seemed to break the basic rules of multiplication. It was so far outside what mathematicians were doing at the time that they called it ‘‘imaginary.’’ Yet imaginary numbers proved a powerful invention, and modern physics and engineering could not function without them.

Early encounters with math can be misleading. The subject seems to be about learning rules — how and when to apply ancient tricks to arrive at an answer. Four cookies remain in the cookie jar; the ball moves at 12.5 feet per second. Really, though, to be a mathematician is to experiment. Mathematical research is a fundamentally creative act. Lore has it that when David Hilbert, arguably the most influential mathematician of fin de siècle Europe, heard that a colleague had left to pursue fiction, he quipped: ‘‘He did not have enough imagination for mathematics.’’

Many people think that substantial progress on Navier-­Stokes may be impossible, and years ago, Tao told me, he wrote a blog post concurring with this view. Now he has some small bit of hope. The twin-prime conjecture had the same feel, a sense of breaking through the wall of intimidation that has scared off many aspirants. Outside the world of mathematics, both Navier-­Stokes and the twin-prime conjecture are described as problems. But for Tao and others in the field, they are more like opponents. Tao’s opponent has been known to taunt him, convincing him that he is overlooking the obvious, or to fight back, making quick escapes when none should be possible. Now the opponent appears to have revealed a weakness. But Tao said he has been here before, thinking he has found a way through the defenses, when in fact he was being led into an ambush. ‘‘You learn to get suspicious,’’ Tao said. ‘‘You learn to be on the lookout.’’

Studies carried out with college students have found that brief episodes are common in young people, with a prevalence ranging from 30 to 70 percent. It can happen when you’re jet-lagged, hungover, or stressed. But for roughly 1 to 2 percent of the population, it becomes persistent, and distressing

Research suggests that areas of the brain that are key to emotional and physical sensations, such as the amygdala and the insula, appear to be less responsive in chronic depersonalization sufferers. You might become less empathetic; your pain threshold might increase. These numbing effects mean that it’s commonly conceived as a defense mechanism; Hunter calls it a “psychological trip switch” which can be triggered in times of stress.

Have you ever played that game when you repeat a word over and over again until it loses all meaning? It’s called semantic satiation. Like words, can a sense of self be broken down into arbitrary, socially-constructed components?

That question may be why the phenomenon has attracted a lot of interest from philosophers. In a sense, the experience presupposes certain notions of how the self is meant to feel. We think of a self as an essential thing—a soul or an ego that everyone has and is aware of—but scientists and philosophers have been telling us for a while now that the self isn’t quite as it seems

there is no center in the brain where the self is generated. “What we experience is a powerful depiction generated by our brains for our benefit,” he writes. Brains make sense of data that would otherwise be overwhelming. “Experiences are fragmented episodes unless they are woven together in a meaningful narrative,” he writes, with the self being the story that “pulls it all together.”

“The unity [of self that] we experience, which allows us legitimately to talk of ‘I,’ is a result of the Ego Trick—the remarkable way in which a complicated bundle of mental events, made possible by the brain, creates a singular self, without there being a singular thing underlying it,”

depersonalization is both a burden, a horrible burden—but it’s in some strange way a blessing, to reach some depths, some meaning which somehow comes only in the broken mirror,” Bezzubova says. “It’s a Dostoyevsky style illumination—where clarity cannot be distinguished from pain.”

for her, the experience is pleasant. “It’s helped me in my life,” she says. Over the past few years, she has learned to interpret her experiences in a Buddhist context, and she describes depersonalization as a “deconditioning” of sorts: “The significance I place on the world is all in my mind,”

“I believe I am on the path to enlightenment,” she says.

The crossover between dark mental states and Buddhist practices is being investigated

Mindfulness has become increasingly popular in the West over the past few years, but as Britton told The Atlantic, the practice in its original form isn’t just about relaxation: It’s about the often painstaking process of coming to terms with three specific insights of the Theravadin Buddhist tradition, which are anicca, or impermanence; dukkha, or dissatisfaction; and anatta, or not-self.

depersonalization must cause the patient distress and have an impact on her daily functioning for it to be classified as clinically significant. In this sense, it seems inappropriate to call Alice’s experiences pathological. “We have ways of measuring disorders, but you have to ask if it’s meaningful. It’s an open question,”

“I think calling it a loss of self is maybe a convenient shorthand for something that’s hard to capture,” he says. “I prefer to talk about experience—because that’s what’s important in psychiatry.”

“ I design projects that prove companies can be profitable when the end result is better stewardship of our planet. I think it’s the most ethical thing we can do for those who will come after us. Sometimes, like in ecological projects, that end result just happens to be a hundred years from now. Which isn’t that long when you consider how trees grow or lakes fill.”

The contrary insistence that the glories of art and thought are not evolutionary adaptations, or that the mind is not the brain, or that love is not just biology’s bait for sex, now amounts to a kind of heresy.

Greif’s book is a prehistory of our predicament, of our own “crisis of man.” (The “man” is archaic, the “crisis” is not.) It recognizes that the intellectual history of modernity may be written in part as the epic tale of a series of rebellions against humanism

We are not becoming transhumanists, obviously. We are too singular for the Singularity. But are we becoming posthumanists?

In American culture right now, as I say, the worldview that is ascendant may be described as posthumanism.

The posthumanism of the 1970s and 1980s was more insular, an academic affair of “theory,” an insurgency of professors; our posthumanism is a way of life, a social fate.

In “The Age of the Crisis of Man: Thought and Fiction in America, 1933-1973,” the gifted essayist Mark Greif, who reveals himself to be also a skillful historian of ideas, charts the history of the 20th-century reckonings with the definition of “man.

Here is his conclusion: “Anytime your inquiries lead you to say, ‘At this moment we must ask and decide who we fundamentally are, our solution and salvation must lie in a new picture of ourselves and humanity, this is our profound responsibility and a new opportunity’ — just stop.” Greif seems not to realize that his own book is a lasting monument to precisely such inquiry, and to its grandeur

“Answer, rather, the practical matters,” he counsels, in accordance with the current pragmatist orthodoxy. “Find the immediate actions necessary to achieve an aim.” But before an aim is achieved, should it not be justified? And the activity of justification may require a “picture of ourselves.” Don’t just stop. Think harder. Get it right.

— but rather in the appeal to their defiantly nonutilitarian character, so that individuals can know more than how things work, and develop their powers of discernment and judgment, their competence in matters of truth and goodness and beauty, to equip themselves adequately for the choices and the crucibles of private and public life.

Who has not felt superior to humanism? It is the cheapest target of all: Humanism is sentimental, flabby, bourgeois, hypocritical, complacent, middlebrow, liberal, sanctimonious, constricting and often an alibi for power

what is humanism? For a start, humanism is not the antithesis of religion, as Pope Francis is exquisitely demonstrating

The worldview takes many forms: a philosophical claim about the centrality of humankind to the universe, and about the irreducibility of the human difference to any aspect of our animality

Here is a humanist proposition for the age of Google: The processing of information is not the highest aim to which the human spirit can aspire, and neither is competitiveness in a global economy. The character of our society cannot be determined by engineers.

And posthumanism? It elects to understand the world in terms of impersonal forces and structures, and to deny the importance, and even the legitimacy, of human agency.

There have been humane posthumanists and there have been inhumane humanists. But the inhumanity of humanists may be refuted on the basis of their own worldview

the condemnation of cruelty toward “man the machine,” to borrow the old but enduring notion of an 18th-century French materialist, requires the importation of another framework of judgment. The same is true about universalism, which every critic of humanism has arraigned for its failure to live up to the promise of a perfect inclusiveness

there has never been a universalism that did not exclude. Yet the same is plainly the case about every particularism, which is nothing but a doctrine of exclusion; and the correction of particularism, the extension of its concept and its care, cannot be accomplished in its own name. It requires an idea from outside, an idea external to itself, a universalistic idea, a humanistic idea.

Asking universalism to keep faith with its own principles is a perennial activity of moral life. Asking particularism to keep faith with its own principles is asking for trouble.

there is no more urgent task for American intellectuals and writers than to think critically about the salience, even the tyranny, of technology in individual and collective life

a methodological claim about the most illuminating way to explain history and human affairs, and about the essential inability of the natural sciences to offer a satisfactory explanation; a moral claim about the priority, and the universal nature, of certain values, not least tolerance and compassion

“Our very mastery seems to escape our mastery,” Michel Serres has anxiously remarked. “How can we dominate our domination; how can we master our own mastery?”

universal accessibility is not the end of the story, it is the beginning. The humanistic methods that were practiced before digitalization will be even more urgent after digitalization, because we will need help in navigating the unprecedented welter

Searches for keywords will not provide contexts for keywords. Patterns that are revealed by searches will not identify their own causes and reasons

The new order will not relieve us of the old burdens, and the old pleasures, of erudition and interpretation.

Is all this — is humanism — sentimental? But sentimentality is not always a counterfeit emotion. Sometimes sentiment is warranted by reality.

The persistence of humanism through the centuries, in the face of formidable intellectual and social obstacles, has been owed to the truth of its representations of our complexly beating hearts, and to the guidance that it has offered, in its variegated and conflicting versions, for a soulful and sensitive existence

a complacent humanist is a humanist who has not read his books closely, since they teach disquiet and difficulty. In a society rife with theories and practices that flatten and shrink and chill the human subject, the humanist is the dissenter.

Last week, President Trump’s sketch of a budget underscored how little interest he has in the nation’s social insurance programs — proposing to shift $54 billion next year to the military

Republicans in the House plan to vote this week to undo the Affordable Care Act. That law was Mr. Obama’s singular contribution toward an American welfare state, the biggest expansion of the nation’s safety net in half a century.

Welfare reform did hurt many poor people by converting antipoverty funds into block grants to the states. But it was accompanied by a big increase in the earned-income tax credit, the nation’s most effective antipoverty tool today.

“No other Congress or administration has ever put forward a plan with the intention of having fewer people covered.”

Who knows where this retrenchment takes the country? Maybe attaching a work requirement to Medicaid, as conservatives propose, will prod the poor to get a job. Or perhaps it will just cut more people from Medicaid’s rolls. Further up the income ladder, losing a job will become more costly when it means losing health insurance, too.

Millions of Americans — poor ones, mainly — will use much less health care. They will make fewer outpatient visits, have fewer mammograms and cholesterol checks.

In any event, public health insurance will take a big hit.

Under the House Republican plan, 24 million more Americans will lack health insurance by 2026, according to the nonpartisan Congressional Budget Office.

Might depression and mental health problems destabilize families, feeding down into the health, education and well-being of the next generation?

Yet it is worth remembering that among advanced nations, the United States is a laggard in life expectancy and has one of the highest infant mortality rates.

If American history provides any sort of guidance, it is that continuing to shred the social safety net will definitely make things worse.

you know now, if you did not before, that the police departments of your country have been endowed with the authority to destroy your body. It does not matter if the destruction is the result of an unfortunate overreaction. It does not matter if it originates in a misunderstanding. It does not matter if the destruction springs from a foolish policy

I remember being amazed that death could so easily rise up from the nothing of a boyish afternoon, billow up like fog. I knew that West Baltimore, where I lived; that the north side of Philadelphia, where my cousins lived; that the South Side of Chicago, where friends of my father lived, comprised a world apart. Somewhere out there beyond the firmament, past the asteroid belt, there were other worlds where children did not regularly fear for their bodies

It is hard to face this. But all our phrasing—race relations, racial chasm, racial justice, racial profiling, white privilege, even white supremacy—serves to obscure that racism is a visceral experience, that it dislodges brains, blocks airways, rips muscle, extracts organs, cracks bones, breaks teeth

ou must never look away from this. You must always remember that the sociology, the history, the economics, the graphs, the charts, the regressions all land, with great violence, upon the body.

And should one live in such a body? What should be our aim beyond meager survival of constant, generational, ongoing battery and assault? I have asked this question all my life.

The question is unanswerable, which is not to say futile. The greatest reward of this constant interrogation, of confrontation with the brutality of my country, is that it has freed me from ghosts and myths.

I was afraid long before you, and in this I was unoriginal. When I was your age the only people I knew were black, and all of them were powerfully, adamantly, dangerously afraid. It was always right in front of me. The fear was there in the extravagant boys of my West Baltimore neighborhood

The fear lived on in their practiced bop, their slouching denim, their big T- shirts, the calculated angle of their baseball caps, a catalog of behaviors and garments enlisted to inspire the belief that these boys were in firm possession of everything they desired.

To be black in the Baltimore of my youth was to be naked before the elements of the world, before all the guns, fists, knives, crack, rape, and disease. The law did not protect us. And now, in your time, the law has become an excuse for stopping and frisking you, which is to say, for furthering the assault on your body

But a society that protects some people through a safety net of schools, government-backed home loans, and ancestral wealth but can only protect you with the club of criminal justice has either failed at enforcing its good intentions or has succeeded at something much darker.

here will surely always be people with straight hair and blue eyes, as there have been for all history. But some of these straight-haired people with blue eyes have been “black,” and this points to the great difference between their world and ours. We did not choose our fences. They were imposed on us by Virginia planters obsessed with enslaving as many Americans as possible. Now I saw that we had made something down here, in slavery, in Jim Crow, in ghettoes. At The Mecca I saw how we had taken their one-drop rule and flipped it. They made us into a race. We made ourselves into a people.

I came to understand that my country was a galaxy, and this galaxy stretched from the pandemonium of West Baltimore to the happy hunting grounds of Mr. Belvedere. I obsessed over the distance between that other sector of space and my own. I knew that my portion of the American galaxy, where bodies were enslaved by a tenacious gravity, was black and that the other, liberated portion was not. I knew that some inscrutable energy preserved the breach. I felt, but did not yet understand, the relation between that other world and me. And I felt in this a cosmic injustice, a profound cruelty, which infused an abiding, irrepressible desire to unshackle my body and achieve the velocity of escape.

Before I could escape, I had to survive, and this could only mean a clash with the streets, by which I mean not just physical blocks, nor simply the people packed into them, but the array of lethal puzzles and strange perils which seem to rise up from the asphalt itself. The streets transform every ordinary day into a series of trick questions, and every incorrect answer risks a beat-down, a shooting, or a pregnancy. No one survives unscathed

When I was your age, fully one-third of my brain was concerned with who I was walking to school with, our precise number, the manner of our walk, the number of times I smiled, who or what I smiled at, who offered a pound and who did not—all of which is to say that I practiced the culture of the streets, a culture concerned chiefly with securing the body.

Why were only our heroes nonviolent? Back then all I could do was measure these freedom-lovers by what I knew. Which is to say, I measured them against children pulling out in the 7-Eleven parking lot, against parents wielding extension cords, and the threatening intonations of armed black gangs saying, “Yeah, nigger, what’s up now?” I judged them against the country I knew, which had acquired the land through murder and tamed it under slavery, against the country whose armies fanned out across the world to extend their dominion. The world, the real one, was civilization secured and ruled by savage means. How could the schools valorize men and women whose values society actively scorned? How could they send us out into the streets of Baltimore, knowing all that they were, and then speak of nonviolence?

the beauty of the black body was never celebrated in movies, in television, or in the textbooks I’d seen as a child. Everyone of any import, from Jesus to George Washington, was white. This was why your grandparents banned Tarzan and the Lone Ranger and toys with white faces from the house. They were rebelling against the history books that spoke of black people only as sentimental “firsts”—first black four-star general, first black congressman, first black mayor—always presented in the bemused manner of a category of Trivial Pursuit.

erious history was the West, and the West was white. This was all distilled for me in a quote I once read, from the novelist Saul Bellow. I can’t remember where I read it, or when—only that I was already at Howard. “Who is the Tolstoy of the Zulus?,” Bellow quipped

this view of things was connected to the fear that passed through the generations, to the sense of dispossession. We were black, beyond the visible spectrum, beyond civilization. Our history was inferior because we were inferior, which is to say our bodies were inferior. And our inferior bodies could not possibly be accorded the same respect as those that built the West. Would it not be better, then, if our bodies were civilized, improved, and put to some legitimate Christian use?

now I looked back on my need for a trophy case, on the desire to live by the standards of Saul Bellow, and I felt that this need was not an escape but fear again—fear that “they,” the alleged authors and heirs of the universe, were right. And this fear ran so deep that we accepted their standards of civilization and humanity.

There is nothing uniquely evil in these destroyers or even in this moment. The destroyers are merely men enforcing the whims of our country, correctly interpreting its heritage and legacy. This legacy aspires to the shackling of black bodies

still and all I knew that we were something, that we were a tribe—on one hand, invented, and on the other, no less real. The reality was out there on the Yard, on the first warm day of spring when it seemed that every sector, borough, affiliation, county, and corner of the broad diaspora had sent a delegate to the great world party

I could see now that that world was more than a photonegative of that of the people who believe they are white. “White America” is a syndicate arrayed to protect its exclusive power to dominate and control our bodies. Sometimes this power is direct (lynching), and sometimes it is insidious (redlining). But however it appears, the power of domination and exclusion is central to the belief in being white, and without it, “white people” would cease to exist for want of reasons

“Tolstoy is the Tolstoy of the Zulus,” wrote Wiley. “Unless you find a profit in fencing off universal properties of mankind into exclusive tribal ownership.” And there it was. I had accepted Bellow’s premise. In fact, Bellow was no closer to Tolstoy than I was to Nzinga. And if I were closer it would be because I chose to be, not because of destiny written in DNA. My great error was not that I had accepted someone else’s dream but that I had accepted the fact of dreams, the need for escape, and the invention of racecraft.

Think of all the embraces, all the private jokes, customs, greetings, names, dreams, all the shared knowledge and capacity of a black family injected into that vessel of flesh and bone. And think of how that vessel was taken, shattered on the concrete, and all its holy contents, all that had gone into each of them, was sent flowing back to the earth. It is terrible to truly see our particular beauty, Samori, because then you see the scope of the loss. But you must push even further. You must see that this loss is mandated by the history of your country, by the Dream of living white.

I don’t know if you remember how the film we saw at the Petersburg Battlefield ended as though the fall of the Confederacy were the onset of a tragedy, not jubilee. I doubt you remember the man on our tour dressed in the gray wool of the Confederacy, or how every visitor seemed most interested in flanking maneuvers, hardtack, smoothbore rifles, grapeshot, and ironclads, but virtually no one was interested in what all of this engineering, invention, and design had been marshaled to achieve. You were only 10 years old. But even then I knew that I must trouble you, and this meant taking you into rooms where people would insult your intelligence, where thieves would try to enlist you in your own robbery and disguise their burning and looting as Christian charity. But robbery is what this is, what it always was.

American reunion was built on a comfortable narrative that made enslavement into benevolence, white knights of body snatchers, and the mass slaughter of the war into a kind of sport in which one could conclude that both sides conducted their affairs with courage, honor, and élan. This lie of the Civil War is the lie of innocence, is the Dream.

I, like every kid I knew, loved The Dukes of Hazzard. But I would have done well to think more about why two outlaws, driving a car named the General Lee, must necessarily be portrayed as “just some good ole boys, never meanin’ no harm”—a mantra for the Dreamers if there ever was one. But what one “means” is neither important nor relevant. It is not necessary that you believe that the officer who choked Eric Garner set out that day to destroy a body. All you need to understand is that the officer carries with him the power of the American state and the weight of an American legacy, and they necessitate that of the bodies destroyed every year, some wild and disproportionate number of them will be black.

Here is what I would like for you to know: In America, it is traditional to destroy the black body—it is heritage. Enslavement was not merely the antiseptic borrowing of labor—it is not so easy to get a human being to commit their body against its own elemental interest. And so enslavement must be casual wrath and random manglings, the gashing of heads and brains blown out over the river as the body seeks to escape. It must be rape so regular as to be industrial. There is no uplifting way to say this.

It had to be blood. It had to be the thrashing of kitchen hands for the crime of churning butter at a leisurely clip. It had to be some woman “chear’d ... with thirty lashes a Saturday last and as many more a Tuesday again.” It could only be the employment of carriage whips, tongs, iron pokers, handsaws, stones, paperweights, or whatever might be handy to break the black body, the black family, the black community, the black nation. The bodies were pulverized into stock and marked with insurance. And the bodies were an aspiration, lucrative as Indian land, a veranda, a beautiful wife, or a summer home in the mountains. For the men who needed to believe themselves white, the bodies were the key to a social club, and the right to break the bodies was the mark of civilization.

“The two great divisions of society are not the rich and poor, but white and black,” said the great South Carolina senator John C. Calhoun. “And all the former, the poor as well as the rich, belong to the upper class, and are respected and treated as equals.” And there it is—the right to break the black body as the meaning of their sacred equality. And that right has always given them meaning, has always meant that there was someone down in the valley because a mountain is not a mountain if there is nothing below.

There is no them without you, and without the right to break you they must necessarily fall from the mountain, lose their divinity, and tumble out of the Dream. And then they would have to determine how to build their suburbs on something other than human bones, how to angle their jails toward something other than a human stockyard, how to erect a democracy independent of cannibalism. I would like to tell you that such a day approaches when the people who believe themselves to be white renounce this demon religion and begin to think of themselves as human. But I can see no real promise of such a day. We are captured, brother, surrounded by the majoritarian bandits of America. And this has happened here, in our only home, and the terrible truth is that we cannot will ourselves to an escape on our own.

I think now of the old rule that held that should a boy be set upon in someone else’s chancy hood, his friends must stand with him, and they must all take their beating together. I now know that within this edict lay the key to all living. None of us were promised to end the fight on our feet, fists raised to the sky. We could not control our enemies’ number, strength, or weaponry. Sometimes you just caught a bad one. But whether you fought or ran, you did it together, because that is the part that was in our control. What we must never do is willingly hand over our own bodies or the bodies of our friends. That was the wisdom: We knew we did not lay down the direction of the street, but despite that, we could—and must—fashion the way of our walk. And that is the deeper meaning of your name—that the struggle, in and of itself, has meaning.

I have raised you to respect every human being as singular, and you must extend that same respect into the past. Slavery is not an indefinable mass of flesh. It is a particular, specific enslaved woman, whose mind is as active as your own, whose range of feeling is as vast as your own; who prefers the way the light falls in one particular spot in the woods, who enjoys fishing where the water eddies in a nearby stream, who loves her mother in her own complicated way, thinks her sister talks too loud, has a favorite cousin, a favorite season, who excels at dressmaking and knows, inside herself, that she is as intelligent and capable as anyone. “Slavery” is this same woman born in a world that loudly proclaims its love of freedom and inscribes this love in its essential texts, a world in which these same professors hold this woman a slave, hold her mother a slave, her father a slave, her daughter a slave, and when this woman peers back into the generations all she sees is the enslaved. She can hope for more. She can imagine some future for her grandchildren. But when she dies, the world—which is really the only world she can ever know—ends. For this woman, enslavement is not a parable. It is damnation. It is the never-ending night. And the length of that night is most of our history. Never forget that we were enslaved in this country longer than we have been free. Never forget that for 250 years black people were born into chains—whole generations followed by more generations who knew nothing but chains.

You must resist the common urge toward the comforting narrative of divine law, toward fairy tales that imply some irrepressible justice. The enslaved were not bricks in your road, and their lives were not chapters in your redemptive history. They were people turned to fuel for the American machine. Enslavement was not destined to end, and it is wrong to claim our present circumstance—no matter how improved—as the redemption for the lives of people who never asked for the posthumous, untouchable glory of dying for their children. Our triumphs can never redeem this. Perhaps our triumphs are not even the point. Perhaps struggle is all we have

I am not a cynic. I love you, and I love the world, and I love it more with every new inch I discover. But you are a black boy, and you must be responsible for your body in a way that other boys cannot know. Indeed, you must be responsible for the worst actions of other black bodies, which, somehow, will always be assigned to you. And you must be responsible for the bodies of the powerful—the policeman who cracks you with a nightstick will quickly find his excuse in your furtive movements. You have to make your peace with the chaos, but you cannot lie.

“I could have you arrested,” he said. Which is to say: “One of your son’s earliest memories will be watching the men who sodomized Abner Louima and choked Anthony Baez cuff, club, tase, and break you.” I had forgotten the rules, an error as dangerous on the Upper West Side of Manhattan as on the West Side of Baltimore. One must be without error out here. Walk in single file. Work quietly. Pack an extra No. 2 pencil. Make no mistakes.

the price of error is higher for you than it is for your countrymen, and so that America might justify itself, the story of a black body’s destruction must always begin with his or her error, real or imagined—with Eric Garner’s anger, with Trayvon Martin’s mythical words (“You are gonna die tonight”), with Sean Bell’s mistake of running with the wrong crowd, with me standing too close to the small-eyed boy pulling out.

You are called to struggle, not because it assures you victory but because it assures you an honorable and sane life

I am sorry that I cannot save you—but not that sorry. Part of me thinks that your very vulnerability brings you closer to the meaning of life, just as for others, the quest to believe oneself white divides them from it. The fact is that despite their dreams, their lives are also not inviolable. When their own vulnerability becomes real—when the police decide that tactics intended for the ghetto should enjoy wider usage, when their armed society shoots down their children, when nature sends hurricanes against their cities—they are shocked by the rages of logic and the natural world in a way that those of us who were born and bred to understand cause and effect can never be.

I would not have you live like them. You have been cast into a race in which the wind is always at your face and the hounds are always at your heels. And to varying degrees this is true of all life. The difference is that you do not have the privilege of living in ignorance of this essential fact.

I never wanted you to be twice as good as them, so much as I have always wanted you to attack every day of your brief bright life determined to struggle. The people who must believe they are white can never be your measuring stick. I would not have you descend into your own dream. I would have you be a conscious citizen of this terrible and beautiful world.

One reason that a profound moral improvement of humankind is hard to envision is that it seems difficult to pull ourselves up morally by our own bootstraps; our attempts at improvement are going to be made by the unimproved

People and societies occasionally improve, managing to enfranchise marginalized groups, for example, or reduce violence, but also often degenerate into war, oppression or xenophobia. It is difficult to improve and easy to convince yourself that you have improved, until the next personality crisis, the next bad decision, the next war, the next outbreak of racism, the next “crisis” in educatio

It’s difficult to teach your children what you yourself do not know, and it’s difficult to be good enough actually to teach your children to be good.

Plans for our improvement have resulted in progress here and there, but they’ve also led to many disasters of oppression, many wars and genocides.

One thing that Twain is saying is that many forms of evil — envy, for example, or elaborate dishonesty — appear on earth only with human beings and are found wherever we are. Creatures like us can’t see clearly what we’d be making progress toward.

His story “The Imp of the Perverse” shows another sort of reason that humans find it difficult to improve. The narrator asserts that a basic human impulse is to act wrongly on purpose, or even to do things because we know they’re wrong: “We act, for the reason that we should not,” the narrator declares. This is one reason that human action tends to undermine itself; our desires are contradictory.

Perhaps, then if we cannot improve systematically, we can improve inadvertently — or even by sheer perversity

As to evolution, it, too, is as likely to end in our extinction as our flourishing; it has of course extinguished most of the species to which it has given rise, and it does not clearly entail that every or any species gets better in any dimension over time

Our technologies may, as Kurzweil believes, allow us to transcend our finitude. On the other hand, they may end in our or even the planet’s total destruction.

“I have no faith in human perfectibility. I think that human exertion will have no appreciable effect on humanity. Man is … not more happy — nor more wise, than he was 6,000 years ago.”

. Modern marriage is a partnership, and both men and women expect their partners to be at least their equal intellectually and personally.

Any psychologist will state that appearance is still the number one factor in bringing two people together, and that it takes more than a singular trait (in this case, intelligence) to create a strong, long-lasting bond.

And it's important to note that these statistics are heteronormative, applying purely to straight couples and not addressing gays and lesbians at all.

For millennia, a woman's value in a marriage was largely limited to birthing children and caring for a household. That's changed now, and men's desires have changed accordingly. Men want their wives—partners, really—to be much more independent, with lives and careers outside of the home.

You can trace the Great Breach to Justice Kennedy’s words in the 2010 Citizens United case, which gave wealthy, secret donors unlimited power to manipulate American elections. The decision legalized large-scale bribery — O.K., influence buying — and ensured that we would never know exactly who was purchasing certain politicians.

Kennedy famously predicted the opposite. He wrote that “independent expenditures, including those made by corporations, do not give rise to corruption or the appearance of corruption.” That’s the money quote — one of the great wish-projections in court history. But Kennedy also envisioned a new day, whereby there would be real-time disclosure of the big financial forces he unleashed across the land.In his make-believe, post-Citizens United world, voters “can see whether elected officials are ‘in the pocket’ of so-called moneyed interests.”

At the same time that this court has handed over elections to people who already have enormous power, they’ve given approval to efforts to keep the powerless from voting. In Texas, Republicans have passed a selective voter ID bill that could keep upward of 600,000 citizens — students, Native Americans in federally recognized tribes, the elderly — from having a say in this election.

you can’t argue with the corrosive and dispiriting effect, on the rest of us, of campaigns controlled by the rich, the secret, the few.

This year, the Koch brothers and their extensions — just to name one lonely voice in the public realm — have operations in at least 35 states, and will spend somewhere north of $120 million to ensure a Congress that will do their bidding. Spending by outside groups has gone to $1 billion in 2012 from $52 million in 2000.

just the opposite has happened. The big money headed for the shadows. As my colleague Nicholas Confessore documented earlier this month, more than half the ads aired by outside groups during this campaign have come from secret donors. Oligarchs hiding behind front groups — Citizens for Fluffy Pillows — are pulling the levers of the 2014 campaign, and overwhelmingly aiding Republicans.

What’s the big deal? Well, you can vote in Texas with a concealed handgun ID, but not one from a four-year college. The new voter suppression measure, allowed to go ahead in an unsigned order by the court last Saturday, “is a purposefully discriminating law,” Justice Ruth Bader Ginsburg wrote in dissent, “one that likely imposes an unconstitutional poll tax and risks denying the right to vote to hun

With the 2010 case, the court handed control of elections over to dark money interests who answer to nobody. And in the Texas case, the court has ensured that it will be more difficult for voters without money or influence to use the one tool they have.

The Common Core promotes 10 so-called "College and Career Readiness Anchor Standards" for reading that emphasize technical skills like analyzing, integrating, and delineating a text. But these expectations deal very little with ensuring students are actually appreciating the literature at hand—and say nothing about the personal engagement and life lessons to which my principal was referring

Kate Kinsella, an influential author who consults school districts across the country and is considered "a guiding force on the National Advisory Board for the Consortium on Reading Excellence," recently told me to "ditch literature" since "literary fiction is not critical to college success." Kinsella continued, "What’s represented by the standards is the need to analyze texts rather than respond to literature.

As a teacher working within this regimented environment, my classroom objectives have had to shift. I used to feel deeply satisfied facilitating a rich classroom discussion on a Shakespearean play; now, I feel proud when my students explicitly acknowledge the aforementioned "anchor standards" and take the initiative to learn these technical skills.

But as a man who used to be a high school student interested in pursuing wisdom, I’m almost startled to find myself up late at night, literally studying these anchor standards instead of Hamlet itself.

It just feels like a very slow, gradual cultural shift that I don’t even notice except for sudden moments of nostalgia, like remembering a dream out of nowhere

I get it: My job is to teach communication, not values, and maybe that’s reasonable. After all, I’m not sure I would want my daughter gaining her wisdom from a randomly selected high-school teacher just because he passed a few writing and literature courses at a state university (which is what I did). My job description has evolved, and I’m fine with that

This arrangement, in theory, allows students to read the literature on their own, when they get their own time—and I’m fine with that. But then, where are they getting the time and space to appreciate the deeper lessons of classic literature, to evaluate its truth and appropriately apply it to their own lives?

research suggests that a significant majority of teens do not attend church, and youth church attendance has been decreasing over the past few decades. This is fine with me. But then again, where are they getting their wisdom?

I’m not talking about my child, or your child. I’m absolutely positive that my daughter will know the difference between Darcy and Wickham before she’s in eighth grade; and it's likely that people who would gravitate toward this story would appreciate this kind of thinking

I’m talking about American children in general—kids whose parents work all day, whose fathers left them or whose mothers died

even for the parents who do prioritize the humanities in their households, I’m not sure that one generation is actually sharing culturally relevant wisdom with the next one—not if the general community doesn’t even talk about what that wisdom specifically means. Each family can be responsible for teaching wisdom in their own way, and I’m fine with that. But then, does the idea of cultural wisdom get surrendered in the process?

Secular wisdom in the public schools seems like it should inherently spring from the literature that’s shaped American culture. And while the students focus on how Whitman’s "purpose shapes the content and style of his text," they’re obviously exposed to the words that describe his leaves of grass.

But there is a noticeable deprioritization of literature, and a crumbling consensus regarding the nation’s idea of classic literature. The Common Core requires only Shakespeare, which is puzzling if only for its singularity

The country’s disregard for the institutional transfer of cultural wisdom is evident with this single observation: None of the state assessments has a single question about the content of any classic literature. They only test on reading skills

But where are the students getting their wisdom?

Admittedly, nothing about the Common Core or any modern shifts in teaching philosophies is forbidding me from sharing deeper lessons found in Plato’s cave or Orwell’s Airstrip One. The fine print of the Common-Core guidelines even mentions a few possible titles. But this comes with constant and pervasive language that favors objective analysis over personal engagement.

Later, a kid who reminds me of the teenager I was in high school—a boy who is at different times depressed, excited, naive, and curious—asked me why I became an English teacher. I smiled in self-defense, but I was silent again, not knowing what to say anymore.

In 31 states, governors — most but not all Republicans — have formed an axis of ignorance, declaring their borders closed to refugees fleeing the Islamic State in Syria.

defending the displaced against blatant discrimination. That it is even necessary to protect the victims of Islamic extremism from being victimized again, in the United States, is a national disgrace.

the danger right now is allowing him to legitimize the hatred that he so skillfully exploits, and to revive the old American tendency, in frightening times, toward vicious treatment of the weak and outsiders.

The internment of Japanese-Americans in World War II, as some Republicans have either forgotten or never understood, was a dark episode in American history. It is remembered today with regret, as something the nation struggled with, learned from, and moved beyond. But there are millions of Muslims who have good reason to fear that the darkness is falling again.

The time to renounce Mr. Trump’s views was the day he entered the race, calling Mexico an exporter of criminals and rapists.

He played to the politics of nativism and fear that was evident last year

The racism behind the agenda of the right wing on immigrants and foreigners has long been plain as day. Mr. Trump makes it even plainer.

. Many of his themes coincide with those of Mr. Obama, but they also diverge in significant ways that could flavor the visit.

“The pope is a singular figure and he has really stirred the souls of people all around the world,” said Josh Earnest, the White House press secretary.

Pope Francis arrived here from Cuba, where he wrapped up a four-day visit on Tuesday morning in the country’s heartland of religion and revolution,

“Without family, without the warmth of home, life grows empty, there is a weakening of the networks which sustain us in adversity, nurture us in daily living and motivate us to build a better future,”

The president’s personal welcome was a sign of respect. Presidents rarely greet foreign visitors at Andrews, instead waiting for them to make their way to the White House.

The White House sought to highlight the alignment between the president and the pope, while de-emphasizing areas of discord.

abortion opponents were hoping that Pope Francis would boost their bid to impose new limits on the procedure and cut off federal financing of Planned Parenthood.

Yet Pope Francis may also make points that challenge both parties, particularly if he repeats his remarks against what he sees as the excesses of globalization and capitalism.

Mr. Serra is seen as a hero who spread the gospel to the New World. But Native American groups condemn him for harsh treatment of the indigenous population.

There were some expectations that he would raise the issues of human rights and political liberty with his hosts, but Pope Francis opted instead to be cautious.

The pope did not speak out against the American trade embargo against Cuba, either

Some analysts said Pope Francis’s restrained remarks worked to the advantage of Cuba’s leaders and the Obama administration. They saw the visit as a success because it allowed all parties to keep moving toward normalized relations.

Maurice discloses her Catholicism, and the reader is aware that prayer undergirds the therapy, but the book is about the therapy, not the prayer. Specifically, it is about the importance of choosing methods of treatment that are supported by scientific data. Applied behavioral analysis is all about data: its daily collection and interpretation. The method is empirical, hard-headed, and results-oriented.

on a deeper level, the book is profoundly religious, more religious perhaps than its author intended. In this reading of the book, autism is not only a developmental disorder afflicting particular individuals, but a metaphor for the spiritual condition of fallen man.

Maurice’s autistic daughter is indifferent to her mother

In this reading of the book, the mother is God, watching a child of his wander away from him into darkness: a heartbroken but also a determined God, determined at any cost to bring the child back

the mother doesn’t turn back, concedes nothing to the condition that has overtaken her daughter. There is no political correctness in Maurice’s attitude to autism; no nod to “neurodiversity.” Like the God in Donne’s sonnet, “Batter my heart, three-personed God,” she storms the walls of her daughter’s condition

Like God, she sets her sights high, commits both herself and her child to a demanding, sometimes painful therapy (life!), and receives back in the end a fully alive, loving, talking, and laughing child

the reader realizes that for God, the harrowing drama of recovery is never a singular, or even a twice-told tale, but a perennial one. Every child of his, every child of Adam and Eve, wanders away from him into darkness

we have an epidemic of autism, or “autism spectrum disorder,” which includes classic autism (Maurice’s children’s diagnosis); atypical autism, which exhibits some but not all of the defects of autism; and Asperger’s syndrome, which is much more common in boys than in girls and is characterized by average or above average language skills but impaired social skills.

At the same time, all around us, we have an epidemic of something else. On the street and in the office, at the dinner table and on a remote hiking trail, in line at the deli and pushing a stroller through the park, people go about their business bent over a small glowing screen, as if praying.

This latter epidemic, or experiment, has been going on long enough that people are beginning to worry about its effects.

for a comprehensive survey of the emerging situation on the ground, the interested reader might look at Sherry Turkle’s recent book, Reclaiming Conversation: The Power of Talk in a Digital Age.

she also describes in exhaustive, chilling detail the mostly horrifying effects recent technology has had on families and workplaces, educational institutions, friendships and romance.

many of the promises of technology have not only not been realized, they have backfired. If technology promised greater connection, it has delivered greater alienation. If it promised greater cohesion, it has led to greater fragmentation, both on a communal and individual level.

If thinking that the grass is always greener somewhere else used to be a marker of human foolishness and a temptation to be resisted, today it is simply a possibility to be checked out. The new phones, especially, turn out to be portable Pied Pipers, irresistibly pulling people away from the people in front of them and the tasks at hand.

all it takes is a single phone on a table, even if that phone is turned off, for the conversations in the room to fade in number, duration, and emotional depth.

an infinitely malleable screen isn’t an invitation to stability, but to restlessness

Current media, and the fear of missing out that they foster (a motivator now so common it has its own acronym, FOMO), drive lives of continual interruption and distraction, of virtual rather than real relationships, and of “little” rather than “big” talk

if you may be interrupted at any time, it makes sense, as a student explains to Turkle, to “keep things light.”

we are reaping deficits in emotional intelligence and empathy; loneliness, but also fears of unrehearsed conversations and intimacy; difficulties forming attachments but also difficulties tolerating solitude and boredom

consider the testimony of the faculty at a reputable middle school where Turkle is called in as a consultant

The teachers tell Turkle that their students don’t make eye contact or read body language, have trouble listening, and don’t seem interested in each other, all markers of autism spectrum disorder

Like much younger children, they engage in parallel play, usually on their phones. Like autistic savants, they can call up endless information on their phones, but have no larger context or overarching narrative in which to situate it

Students are so caught up in their phones, one teacher says, “they don’t know how to pay attention to class or to themselves or to another person or to look in each other’s eyes and see what is going on.

“It is as though they all have some signs of being on an Asperger’s spectrum. But that’s impossible. We are talking about a schoolwide problem.”

Can technology cause Asperger’

“It is not necessary to settle this debate to state the obvious. If we don’t look at our children and engage them in conversation, it is not surprising if they grow up awkward and withdrawn.”

In the protocols developed by Ivar Lovaas for treating autism spectrum disorder, every discrete trial in the therapy, every drill, every interaction with the child, however seemingly innocuous, is prefaced by this clear command: “Look at me!”

If absence of relationship is a defining feature of autism, connecting with the child is both the means and the whole goal of the therapy. Applied behavioral analysis does not concern itself with when exactly, how, or why a child becomes autistic, but tries instead to correct, do over, and even perhaps actually rewire what went wrong, by going back to the beginning

Eye contact—which we know is essential for brain development, emotional stability, and social fluency—is the indispensable prerequisite of the therapy, the sine qua non of everything that happens.

There are no shortcuts to this method; no medications or apps to speed things up; no machines that can do the work for us. This is work that only human beings can do

it must not only be started early and be sufficiently intensive, but it must also be carried out in large part by parents themselves. Parents must be trained and involved, so that the treatment carries over into the home and continues for most of the child’s waking hours.

there are foundational relationships that are templates for all other relationships, and for learning itself.

Maurice’s book, in other words, is not fundamentally the story of a child acquiring skills, though she acquires them perforce. It is the story of the restoration of a child’s relationship with her parents

it is also impossible to overstate the time and commitment that were required to bring it about, especially today, when we have so little time, and such a faltering, diminished capacity for sustained engagement with small children

The very qualities that such engagement requires, whether our children are sick or well, are the same qualities being bred out of us by technologies that condition us to crave stimulation and distraction, and by a culture that, through a perverse alchemy, has changed what was supposed to be the freedom to work anywhere into an obligation to work everywhere.

In this world of total work (the phrase is Josef Pieper’s), the work of helping another person become fully human may be work that is passing beyond our reach, as our priorities, and the technologies that enable and reinforce them, steadily unfit us for the work of raising our own young.

in Turkle’s book, as often as not, it is young people who are distressed because their parents are unreachable. Some of the most painful testimony in Reclaiming Conversation is the testimony of teenagers who hope to do things differently when they have children, who hope someday to learn to have a real conversation, and so o

it was an older generation that first fell under technology’s spell. At the middle school Turkle visits, as at many other schools across the country, it is the grown-ups who decide to give every child a computer and deliver all course content electronically, meaning that they require their students to work from the very medium that distracts them, a decision the grown-ups are unwilling to reverse, even as they lament its consequences.

we have approached what Turkle calls the robotic moment, when we will have made ourselves into the kind of people who are ready for what robots have to offer. When people give each other less, machines seem less inhuman.

robot babysitters may not seem so bad. The robots, at least, will be reliable!

If human conversations are endangered, what of prayer, a conversation like no other? All of the qualities that human conversation requires—patience and commitment, an ability to listen and a tolerance for aridity—prayer requires in greater measure.

this conversation—the Church exists to restore. Everything in the traditional Church is there to facilitate and nourish this relationship. Everything breathes, “Look at me!”

there is a second path to God, equally enjoined by the Church, and that is the way of charity to the neighbor, but not the neighbor in the abstract.

“Who is my neighbor?” a lawyer asks Jesus in the Gospel of Luke. Jesus’s answer is, the one you encounter on the way.

Virtue is either concrete or it is nothing. Man’s path to God, like Jesus’s path on the earth, always passes through what the Jesuit Jean Pierre de Caussade called “the sacrament of the present moment,” which we could equally call “the sacrament of the present person,” the way of the Incarnation, the way of humility, or the Way of the Cross.

The tradition of Zen Buddhism expresses the same idea in positive terms: Be here now.

Both of these privileged paths to God, equally dependent on a quality of undivided attention and real presence, are vulnerable to the distracting eye-candy of our technologies

Turkle is at pains to show that multitasking is a myth, that anyone trying to do more than one thing at a time is doing nothing well. We could also call what she was doing multi-relating, another temptation or illusion widespread in the digital age. Turkle’s book is full of people who are online at the same time that they are with friends, who are texting other potential partners while they are on dates, and so on.

This is the situation in which many people find themselves today: thinking that they are special to someone because of something that transpired, only to discover that the other person is spread so thin, the interaction was meaningless. There is a new kind of promiscuity in the world, in other words, that turns out to be as hurtful as the old kind.

Who can actually multitask and multi-relate? Who can love everyone without diluting or cheapening the quality of love given to each individual? Who can love everyone without fomenting insecurity and jealousy? Only God can do this.

When an individual needs to be healed of the effects of screens and machines, it is real presence that he needs: real people in a real world, ideally a world of God’s own making

Nature is restorative, but it is conversation itself, unfolding in real time, that strikes these boys with the force of revelation. More even than the physical vistas surrounding them on a wilderness hike, unrehearsed conversation opens up for them new territory, open-ended adventures. “It was like a stream,” one boy says, “very ongoing. It wouldn’t break apart.”

in the waters of baptism, the new man is born, restored to his true parent, and a conversation begins that over the course of his whole life reminds man of who he is, that he is loved, and that someone watches over him always.

Even if the Church could keep screens out of her sanctuaries, people strongly attached to them would still be people poorly positioned to take advantage of what the Church has to offer. Anxious people, unable to sit alone with their thoughts. Compulsive people, accustomed to checking their phones, on average, every five and a half minutes. As these behaviors increase in the Church, what is at stake is man’s relationship with truth itself.

This short moment of ugly collapse should not lead Americans to dismiss the extraordinary eloquence and value of their system.

Wednesday's violence didn't really fit the conventional description of an "attempted coup"

It was uglier.

the departing President's supporters did not take over parliament and change the government. The army did not switch sides. The rightful winner of the last election is not in hiding

Yet remember, between horror at what a sense of privilege among a small mob can do, there is also a moment of hope. Values worked.

But when you woke up each morning in Donetsk, the system continued to fall apart. In Washington DC, the opposite was true.

Now is not a time for chest-thumping over American values that have slowly deteriorated for years to get to this point.

The singular reason the US system has advantages over its authoritarian rivals is that it is based on the open competition and truth of ideas.

Many perhaps taking for granted how lucky they are to live in a nation where such a staggering abuse of democracy can still be eclipsed by its virtues.