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An aperiodic tiling displays no such “translational symmetry,” and mathematicians have long sought a single shape that could tile the plane in such a fashion. This is known as the einstein problem.

black and white squares also can make weird nonperiodic patterns, in addition to the familiar, periodic checkerboard pattern. “It’s really pretty trivial to be able to make weird and interesting patterns,” he said. The magic of the two Penrose tiles is that they make only nonperiodic patterns — that’s all they can do.“But then the Holy Grail was, could you do with one — one tile?” Dr. Goodman-Strauss said.

now a new paper — by Mr. Smith and three co-authors with mathematical and computational expertise — proves Mr. Smith’s discovery true. The researchers called their einstein “the hat,

“The most significant aspect for me is that the tiling does not clearly fall into any of the familiar classes of structures that we understand.”

“I’m always messing about and experimenting with shapes,” said Mr. Smith, 64, who worked as a printing technician, among other jobs, and retired early. Although he enjoyed math in high school, he didn’t excel at it, he said. But he has long been “obsessively intrigued” by the einstein problem.

Sir Roger found the proofs “very complicated.” Nonetheless, he was “extremely intrigued” by the einstein, he said: “It’s a really good shape, strikingly simple.”

The simplicity came honestly. Mr. Smith’s investigations were mostly by hand; one of his co-authors described him as an “imaginative tinkerer.”

When in November he found a tile that seemed to fill the plane without a repeating pattern, he emailed Craig Kaplan, a co-author and a computer scientist at the University of Waterloo.

“It was clear that something unusual was happening with this shape,” Dr. Kaplan said. Taking a computational approach that built on previous research, his algorithm generated larger and larger swaths of hat tiles. “There didn’t seem to be any limit to how large a blob of tiles the software could construct,”

The first step, Dr. Kaplan said, was to “define a set of four ‘metatiles,’ simple shapes that stand in for small groupings of one, two, or four hats.” The metatiles assemble into four larger shapes that behave similarly. This assembly, from metatiles to supertiles to supersupertiles, ad infinitum, covered “larger and larger mathematical ‘floors’ with copies of the hat,” Dr. Kaplan said. “We then show that this sort of hierarchical assembly is essentially the only way to tile the plane with hats, which turns out to be enough to show that it can never tile periodically.”

some might wonder whether this is a two-tile, not one-tile, set of aperiodic monotiles.

Dr. Goodman-Strauss had raised this subtlety on a tiling listserv: “Is there one hat or two?” The consensus was that a monotile counts as such even using its reflection. That leaves an open question, Dr. Berger said: Is there an einstein that will do the job without reflection?

“the hat” was not a new geometric invention. It is a polykite — it consists of eight kites. (Take a hexagon and draw three lines, connecting the center of each side to the center of its opposite side; the six shapes that result are kites.)

“It’s likely that others have contemplated this hat shape in the past, just not in a context where they proceeded to investigate its tiling properties,” Dr. Kaplan said. “I like to think that it was hiding in plain sight.”

Incredibly, Mr. Smith later found a second einstein. He called it “the turtle” — a polykite made of not eight kites but 10. It was “uncanny,” Dr. Kaplan said. He recalled feeling panicked; he was already “neck deep in the hat.”

Dr. Myers, who had done similar computations, promptly discovered a profound connection between the hat and the turtle. And he discerned that, in fact, there was an entire family of related einsteins — a continuous, uncountable infinity of shapes that morph one to the next.

this einstein family motivated the second proof, which offers a new tool for proving aperiodicity. The math seemed “too good to be true,” Dr. Myers said in an email. “I wasn’t expecting such a different approach to proving aperiodicity — but everything seemed to hold together as I wrote up the details.”

Mr. Smith was amazed to see the research paper come together. “I was no help, to be honest.” He appreciated the illustrations, he said: “I’m more of a pictures person.”

Gelfand and Harrington predicted that “‘tight’ states would exhibit a higher incidence of natural disasters, greater environmental vulnerability, fewer natural resources, greater incidence of disease and higher mortality rates, higher population density, and greater degrees of external threat.”

The South dominated the tight states: Mississippi, Alabama Arkansas, Oklahoma, Tennessee, Texas, Louisiana, Kentucky, South Carolina and North Carolina

states in New England and on the West Coast were the loosest: California, Oregon, Washington, Maine, Massachusetts, Connecticut, New Hampshire and Vermont.

Cultural differences, Gelfand continued, “have a certain logic — a rationale that makes good sense,” noting that “cultures that have threats need rules to coordinate to survive (think about how incredibly coordinated Japan is in response to natural disasters).

“Rule Makers, Rule Breakers: How Tight and Loose Cultures Wire the World” in 2018, in which she described the results of a 2016 pre-election survey she and two colleagues had commissioned

The results were telling: People who felt the country was facing greater threats desired greater tightness. This desire, in turn, correctly predicted their support for Trump. In fact, desired tightness predicted support for Trump far better than other measures. For example, a desire for tightness predicted a vote for Trump with 44 times more accuracy than other popular measures of authoritarianism.

The 2016 election, Gelfand continued, “turned largely on primal cultural reflexes — ones that had been conditioned not only by cultural forces, but by a candidate who was able to exploit them.”

Gelfand said:Some groups have much stronger norms than others; they’re tight. Others have much weaker norms; they’re loose. Of course, all cultures have areas in which they are tight and loose — but cultures vary in the degree to which they emphasize norms and compliance with them.

In both 2016 and 2020, Donald Trump carried all 10 of the top “tight” states; Hillary Clinton and Joe Biden carried all 10 of the top “loose” states.

The tight-loose concept, Gelfand argued,is an important framework to understand the rise of President Donald Trump and other leaders in Poland, Hungary, Italy, and France,

cultures that don’t have a lot of threat can afford to be more permissive and loose.”

The gist is this: when people perceive threat — whether real or imagined, they want strong rules and autocratic leaders to help them survive

My research has found that within minutes of exposing study participants to false information about terrorist incidents, overpopulation, pathogen outbreaks and natural disasters, their minds tightened. They wanted stronger rules and punishments.

Gelfand writes that tightness encourages conscientiousness, social order and self-control on the plus side, along with close-mindedness, conventional thinking and cultural inertia on the minus side.

Looseness, Gelfand posits, fosters tolerance, creativity and adaptability, along with such liabilities as social disorder, a lack of coordination and impulsive behavior.

If liberalism and conservatism have historically played a complementary role, each checking the other to constrain extremism, why are the left and right so destructively hostile to each other now, and why is the contemporary political system so polarized?

Along the same lines, if liberals and conservatives hold differing moral visions, not just about what makes a good government but about what makes a good life, what turned the relationship between left and right from competitive to mutually destructive?

As a set, Niemi wrote, conservative binding values encompassthe values oriented around group preservation, are associated with judgments, decisions, and interpersonal orientations that sacrifice the welfare of individuals

She cited research thatfound 47 percent of the most extreme conservatives strongly endorsed the view that “The world is becoming a more and more dangerous place,” compared to 19 percent of the most extreme liberals

Conservatives and liberals, Niemi continued,see different things as threats — the nature of the threat and how it happens to stir one’s moral values (and their associated emotions) is a better clue to why liberals and conservatives react differently.

Unlike liberals, conservatives strongly endorse the binding moral values aimed at protecting groups and relationships. They judge transgressions involving personal and national betrayal, disobedience to authority, and disgusting or impure acts such as sexually or spiritually unchaste behavior as morally relevant and wrong.

Underlying these differences are competing sets of liberal and conservative moral priorities, with liberals placing more stress than conservatives on caring, kindness, fairness and rights — known among scholars as “individualizing values

conservatives focus more on loyalty, hierarchy, deference to authority, sanctity and a higher standard of disgust, known as “binding values.”

Niemi contended that sensitivity to various types of threat is a key factor in driving differences between the far left and far right.

For example, binding values are associated with Machiavellianism (e.g., status-seeking and lying, getting ahead by any means, 2013); victim derogation, blame, and beliefs that victims were causal contributors for a variety of harmful acts (2016, 2020); and a tendency to excuse transgressions of ingroup members with attributions to the situation rather than the person (2023).

Niemi cited a paper she and Liane Young, a professor of psychology at Boston College, published in 2016, “When and Why We See Victims as Responsible: The Impact of Ideology on Attitudes Toward Victims,” which tested responses of men and women to descriptions of crimes including sexual assaults and robberies.

We measured moral values associated with unconditionally prohibiting harm (“individualizing values”) versus moral values associated with prohibiting behavior that destabilizes groups and relationships (“binding values”: loyalty, obedience to authority, and purity)

Increased endorsement of binding values predicted increased ratings of victims as contaminated, increased blame and responsibility attributed to victims, increased perceptions of victims’ (versus perpetrators’) behaviors as contributing to the outcome, and decreased focus on perpetrators.

A central explanation typically offered for the current situation in American politics is that partisanship and political ideology have developed into strong social identities where the mass public is increasingly sorted — along social, partisan, and ideological lines.

What happened to people ecologically affected social-political developments, including the content of the rules people made and how they enforced them

Just as ecological factors differing from region to region over the globe produced different cultural values, ecological factors differed throughout the U.S. historically and today, producing our regional and state-level dimensions of culture and political patterns.

Joshua Hartshorne, who is also a professor of psychology at Boston College, took issue with the binding versus individualizing values theory as an explanation for the tendency of conservatives to blame victims:

I would guess that the reason conservatives are more likely to blame the victim has less to do with binding values and more to do with the just-world bias (the belief that good things happen to good people and bad things happen to bad people, therefore if a bad thing happened to you, you must be a bad person).

Belief in a just world, Hartshorne argued, is crucial for those seeking to protect the status quo:It seems psychologically necessary for anyone who wants to advocate for keeping things the way they are that the haves should keep on having, and the have-nots have got as much as they deserve. I don’t see how you could advocate for such a position while simultaneously viewing yourself as moral (and almost everyone believes that they themselves are moral) without also believing in the just world

Conversely, if you generally believe the world is not just, and you view yourself as a moral person, then you are likely to feel like you have an obligation to change things.

I asked Lene Aaroe, a political scientist at Aarhus University in Denmark, why the contemporary American political system is as polarized as it is now, given that the liberal-conservative schism is longstanding. What has happened to produce such intense hostility between left and right?

There is variation across countries in hostility between left and right. The United States is a particularly polarized case which calls for a contextual explanatio

I then asked Aaroe why surveys find that conservatives are happier than liberals. “Some research,” she replied, “suggests that experiences of inequality constitute a larger psychological burden to liberals because it is more difficult for liberals to rationalize inequality as a phenomenon with positive consequences.”

Numerous factors potentially influence the evolution of liberalism and conservatism and other social-cultural differences, including geography, topography, catastrophic events, and subsistence styles

Steven Pinker, a professor of psychology at Harvard, elaborated in an email on the link between conservatism and happiness:

t’s a combination of factors. Conservatives are likelier to be married, patriotic, and religious, all of which make people happier

They may be less aggrieved by the status quo, whereas liberals take on society’s problems as part of their own personal burdens. Liberals also place politics closer to their identity and striving for meaning and purpose, which is a recipe for frustration.

Some features of the woke faction of liberalism may make people unhappier: as Jon Haidt and Greg Lukianoff have suggested, wokeism is Cognitive Behavioral Therapy in reverse, urging upon people maladaptive mental habits such as catastrophizing, feeling like a victim of forces beyond one’s control, prioritizing emotions of hurt and anger over rational analysis, and dividing the world into allies and villains.

Why, I asked Pinker, would liberals and conservatives react differently — often very differently — to messages that highlight threat?

It may be liberals (or at least the social-justice wing) who are more sensitive to threats, such as white supremacy, climate change, and patriarchy; who may be likelier to moralize, seeing racism and transphobia in messages that others perceive as neutral; and being likelier to surrender to emotions like “harm” and “hurt.”

While liberals and conservatives, guided by different sets of moral values, may make agreement on specific policies difficult, that does not necessarily preclude consensus.

there are ways to persuade conservatives to support liberal initiatives and to persuade liberals to back conservative proposals:

While liberals tend to be more concerned with protecting vulnerable groups from harm and more concerned with equality and social justice than conservatives, conservatives tend to be more concerned with moral issues like group loyalty, respect for authority, purity and religious sanctity than liberals are. Because of these different moral commitments, we find that liberals and conservatives can be persuaded by quite different moral arguments

For example, we find that conservatives are more persuaded by a same-sex marriage appeal articulated in terms of group loyalty and patriotism, rather than equality and social justice.

Liberals who read the fairness argument were substantially more supportive of military spending than those who read the loyalty and authority argument.

We find support for these claims across six studies involving diverse political issues, including same-sex marriage, universal health care, military spending, and adopting English as the nation’s official language.”

In one test of persuadability on the right, Feinberg and Willer assigned some conservatives to read an editorial supporting universal health care as a matter of “fairness (health coverage is a basic human right)” or to read an editorial supporting health care as a matter of “purity (uninsured people means more unclean, infected, and diseased Americans).”

Conservatives who read the purity argument were much more supportive of health care than those who read the fairness case.

“political arguments reframed to appeal to the moral values of those holding the opposing political position are typically more effective

In “Conservative and Liberal Attitudes Drive Polarized Neural Responses to Political Content,” Willer, Yuan Chang Leong of the University of Chicago, Janice Chen of Johns Hopkins and Jamil Zaki of Stanford address the question of how partisan biases are encoded in the brain:

society. How do such biases arise in the brain? We measured the neural activity of participants watching videos related to immigration policy. Despite watching the same videos, conservative and liberal participants exhibited divergent neural responses. This “neural polarization” between groups occurred in a brain area associated with the interpretation of narrative content and intensified in response to language associated with risk, emotion, and morality. Furthermore, polarized neural responses predicted attitude change in response to the videos.

The four authors argue that their “findings suggest that biased processing in the brain drives divergent interpretations of political information and subsequent attitude polarization.” These results, they continue, “shed light on the psychological and neural underpinnings of how identical information is interpreted differently by conservatives and liberals.”

The authors used neural imaging to follow changes in the dorsomedial prefrontal cortex (known as DMPFC) as conservatives and liberals watched videos presenting strong positions, left and right, on immigration.

or each video,” they write,participants with DMPFC activity time courses more similar to that of conservative-leaning participants became more likely to support the conservative positio

Conversely, those with DMPFC activity time courses more similar to that of liberal-leaning participants became more likely to support the liberal position. These results suggest that divergent interpretations of the same information are associated with increased attitude polarizatio

Together, our findings describe a neural basis for partisan biases in processing political information and their effects on attitude change.

Describing their neuroimaging method, the authors point out that theysearched for evidence of “neural polarization” activity in the brain that diverges between people who hold liberal versus conservative political attitudes. Neural polarization was observed in the dorsomedial prefrontal cortex (DMPFC), a brain region associated with the interpretation of narrative content.

The question is whether the political polarization that we are witnessing now proves to be a core, encoded aspect of the human mind, difficult to overcome — as Leong, Chen, Zaki and Willer sugges

— or whether, with our increased knowledge of the neural basis of partisan and other biases, we will find more effective ways to manage these most dangerous of human predispositions.

There were plenty of books about Black people, but they tended to be about poor or working-class Black people and often depicted Black lives proscribed by discrimination and inequality

I was aware of two instances of myself in fiction of the time. One was the nerdy teenage middle-class Black girl in Louise Fitzhugh’s “Nobody’s Family Is Going to Change.” Then there was “Sarah Phillips” by Andrea Lee in 1984. That one was a near-sacred experience for me, in depicting a middle-class Black girl who grew up outside Philadelphia, went to Harvard and then moved to Europe. Here was someone I could have been, a variation on some people I knew

But I neither needed nor sought out more such books. How much me did I need? I read to learn about what I didn’t know.

when I started my graduate study, I explicitly did not want to study Black English. It was too close to home.

What fascinated me, and still does, are languages utterly unlike the one I grew up with. This is what I do my academic work on. I am happy to write about Black English, but I do it out of civic duty. What first hooked me on languages was hearing someone speak Hebrew

This idea that one, if brown, is to seek one’s self in what one reads and watches gets around quite a bit.

But still, the idea that Black people are deprived in not exploring what they already relate to is not as natural as it sounds.

This position is rooted, one suspects, as a defense against racism, in a sense that learning most meaningfully takes place within a warm comfort zone of cultural membership. But it’s a wide, wide world out there, and this position ultimately limits the mind and the soul.

I question its necessity in 2023. The etymology of the word “education” is related to the Latin “educere,” meaning to lead outward, not inward.

It can be especially ticklish to hear white people taking up the idea that Black people stray from their selves when taking up things beyond Blackness

I sense the idea that real Blackness means ever seeking yourself in your reading and viewing is a post-1966 thing, to refer to what I wrote here last week.

W.E.B. Du Bois had no such idea. He wrote: “I sit with Shakespeare, and he winces not. Across the color line I move arm in arm with Balzac and Dumas, where smiling men and welcoming women glide in gilded halls. From out the caves of evening that swing between the strong-limbed Earth and the tracery of the stars, I summon Aristotle and Aurelius and what soul I will, and they come all graciously with no scorn nor condescension.”

Du Bois adapted these “white” works to his own needs and predilections. Even the naked racism he lived with daily did not lead him to draw a line around “white” things as something alien to his essence

Rather, he insisted that these works were, in fact, part of his self, regardless of how wider society saw that self or how figures like Shakespeare and Aristotle would have seen him.

Du Bois, in this, was normal. Today I sit with “Succession,” Steely Dan and Saul Bellow, and they wince not. I see myself in none of them. Yes, Bellow had some nasty moments on race, such as a gruesomely prurient scene in “Mr. Sammler’s Planet.” But I’m sorry: I cannot let that one scene — or even two — deprive me of the symphonic reaches of “Herzog” and “Humboldt’s Gift.” What they offer, after all, becomes part of me along with everything else.

the truth is that characters I can see as me are now not uncommon on television in particular. Andre Braugher’s Captain Holt on “Brooklyn Nine-Nine” was about as close to me as I expect a sitcom character ever to be, for example. That was fun. But honestly, I didn’t need it. I live with me. I watch TV to see somebody else.

In the summer of 2020, “public-health experts” decided that racism is a public-health crisis comparable to the coronavirus pandemic. It was therefore, they claimed, within their purview to express public support for the Black Lives Matter protests following the murder of George Floyd and to argue that the benefits of such protests outweighed the increased risk of spreading the disease. Those supposed experts actually knew nothing about the likely effects of the protests. They made no concrete predictions about whether they would in any way ameliorate racism in America, just as Nature can make no concrete predictions about whether its political endorsements will actually help a preferred candidate without jeopardizing its other important goals. The political action was expressive, not evidence-based...

as is often the case, a debate which appears to be about the neutrality of institutions is not really about neutrality at all... Rather, it is about whether there is any room left for soberly weighing our goals and values and thinking in a measured way about the consequences of our actions rather than simply reacting to situations in an impulsive and expressive manner, broadcasting our views to the world so that people know where we stand.

Our goals and values might not be “neutral” at all, but they might still be best served by procedures, institutions, and even individuals that follow neutral principles.

The same person who, on his own, wouldn’t ‘hurt a fly’ will not hesitate to set a government building on fire or rob a liquor store when part of an angry mass. The most mild-mannered of us can make the meanest comments as part of an online mob.

Once caught up in the maelstrom, it is extremely difficult to hold back: you see it as your duty to participate. Any act of lynching, ancient or modern, literal or on social media, displays this feature. ‘A murder shared with many others, which is not only safe and permitted, but indeed recommended, is irresistible to the great majority of men,’ writes Elias Canetti in Crowds and Power (1960).

The herd can also give its members a disproportionate sense of personal worth. No matter how empty or miserable their individual existence may otherwise be, belonging to a certain group makes them feel accepted and recognised – even respected. There is no hole in one’s personal life, no matter how big, that one’s intense devotion to one’s tribe cannot fill, no trauma that it does not seem to heal.

to a disoriented soul, they can offer a sense of fulfilment and recognition that neither family nor friends nor profession can supply. A crowd can be therapeutic in the same way in which a highly toxic substance can have curative powers.

Herding, then, engenders a paradoxical form of identity: you are somebody not despite the fact that you’ve melted into the crowd, but because of it

You will not be able to find yourself in the crowd, but that’s the least of your worries: you are now part of something that feels so much grander and nobler than your poor self

Your connection with the life of the herd not only fills an inner vacuum but adds a sense of purpose to your disoriented existence.

The primatologist Frans de Waal, who has studied the social and political behaviour of apes for decades, concludes in his book Mama’s Last Hug (2018) that primates are ‘made to be social’ – and ‘the same applies to us.’ Living in groups is ‘our main survival strategy’

we are all wired for herding. We herd all the time: when we make war as when we make peace, when we celebrate and when we mourn, we herd at work and on vacation. The herd is not out there somewhere, but we carry it within us. The herd is deeply seated in our mind.

As far as the practical conduct of our lives and our survival in the world are concerned, this is not a bad arrangement. Thanks to the herd in our minds, we find it easier to connect with others, to communicate and collaborate with them, and in general to live at ease with one another. Because of our herding behaviour, then, we stand a better chance to survive as members of a group than on our own

The trouble starts when we decide to use our mind against our biology. As when we employ our thinking not pragmatically, to make our existence in the world easier and more comfortable in some respect or another, but contemplatively, to see our situation in its naked condition, from the outside.

In such a situation, if we are to make any progress, we need to pull the herd out of our mind and set it firmly aside, exceedingly difficult as the task may be. This kind of radical thinking can be done only in the absence of the herd’s influence in its many forms: societal pressure, political partisanship, ideological bias, religious indoctrination, media-induced fads and fashions, intellectual mimetism, or any other -isms, for that matter.

a society’s established knowledge is the glue that keeps it together. Indeed, this unique concoction – a combination of pious lies and convenient half-truths, useful prejudices and self-flattering banalities – is what gives that society its specific cultural physiognomy and, ultimately, its sense of identity

By celebrating its established knowledge, that community celebrates itself. Which, for the sociologist Émile Durkheim, is the very definition of religion.

Making friends can be hard—but there may be more opportunities than we think. Doing these interviews has taught me that connection can come from anywhere, at any time, if both parties are open to it.

“You have to look for friendship in places you would never expect it.”

Paying attention goes a long way when forging these unexpected friendships—noticing when you click with someone, being open to chance encounters.

as much as we may feel like our social networks are set and settled, it’s never too late to meet someone who will be important to you for the rest of your life. I spoke with more than one group who was surprised and grateful to have found one another in middle age, a period when work and family responsibilities tend to peak and keeping up with friends is not always easy.

I’m inspired by the people I’ve spoken with who imagined something different for themselves: the friends who bought a house together, who went to therapy together, who have raised their children together, who committed to an “arranged friendship,” whose friendship has fueled their fight for justice.

they won’t grow without intention. This is the hardest part of friendship. It takes energy and thought, and our mental and physical resources are often spread thin. In other words, friendships take work. But I have never liked framing our friendships as labor. Showing up for our friends takes effort, yes, but it shouldn’t be drudgery. It should be a joy.

One thing that seems to make keeping up with friends easier is ritual. I personally find that the effort of coordinating hangs (or even phone calls) is the biggest barrier to seeing my friends. It’s much easier when something is baked into my schedule, and all I have to do is show up.

Some have organized a book club, a monthly hike, or a regular dinner party. Others have committed to a group chat that runs all day every day, or a Dungeons & Dragons campaign that’s lasted for 30 years. In addition to keeping groups close, these traditions can fuel a friendship and give it a shared culture.

Imagination

Society has a place for friendships, and it’s on the sidelines. They’re supposed to play a supporting role to work, family, and romance. It takes imagination not to default to this norm, and to design your life so that friendship plays the role you really want it to.

Attention only gets you so far without action. When opportunity arises, you have to put yourself out there, and that requires courage, vulnerability, and a willingness to let things be awkward.

The man who gave his friend a kidney and the woman who gave birth to her best friend’s quadruplets remind me that there are friends who choose to love each other radically every day. Their love does not stand on the sidelines.

The beauty and the challenge of friendship is its diversity. A friendship can be whatever you want it to. Each one is a canvas whose only limit is our imagination.

Grace

All of the forces I’ve mentioned so far—accumulation, attention, intention, ritual, and imagination—are ideals. They’re impossible to fully live up to. Life often gets in the way.

I do love the concept of grace, of a gift so profound that it could never be earned or deserved. And so when I cite grace here as the final and most important force in friendships, I mean it in two ways. One is the forgiveness that we offer each other when we fall short. The other is the space that creates for connections—and reconnections—that feel nothing short of miraculous.

Many of the people I spoke with—who, in many cases, love each other so much that they nominated themselves to be interviewed about their friendship—told me that they don’t see each other that often, or that they don’t talk as much as they would like. I’ve come to believe that friendship doesn’t always have to be about presence; it can also be about love that can weather absence.

Sometimes, people have assumed that I must be a really great friend, given how much time I’ve spent thinking about this. And I’m not. I try to be, but I tend to retreat too much into myself and my romantic relationship and don’t prioritize my friends as much as I’d like to.

But absence doesn’t have to last forever. “The Friendship Files” includes many stories of second chances and rekindlings.

Accumulation

Attention

Intention

Ritual

. The implicit lesson is that grown-ups aren’t infallible. It’s OK to laugh at them and it’s OK to feel compassion for them and it’s even OK to feel sorry for them on occasion.

The adult figures in children’s literature are also frequently outsiders or eccentrics in some way, and quite often subject to ridicule

yes, adults are often the Other — which makes them a mystery and a curiosity. Literature offers insight into these occasionally intimidating creatures.

In real life, children revere adults and they fear them. It only follows, then, that they appreciate when adult characters behave admirably but also delight in seeing the consequences — especially when rendered with humor — when they don’t.

Nursery rhymes, folk tales, myths and legends overwhelmingly cast adults as their central characters — and have endured for good reason

In somewhat later tales, children investigated crimes alongside Sherlock Holmes, adventured through Narnia, inhabited Oz and traversed Middle-earth. Grown-up heroes can be hobbits, or rabbits (“Watership Down”), badgers or moles (“The Wind in the Willows”). Children join them no matter what because they like to be in league with their protagonists and by extension, their authors.

In children’s books with adult heroes, children get to conspire alongside their elders. Defying the too-often adversarial relationship between adults and children in literature, such books enable children to see that adults are perfectly capable of occupying their shared world with less antagonism — as partners in life, in love and in adventure.

The word for ‘philosophy’ in Korean is 철학, pronounced ch’ŏrhak. It literally means the ‘study of wisdom’ or, perhaps better, ‘how to become wise’, which reflects its more dynamic and proactive implications

At night, in the darkness of the cave, he drank water from a perfectly useful ‘bowl’. But when he could see properly, he found that there was no ‘bowl’ at all, only a disgusting human skull.

Our lives and minds are affected by others (and their actions), as others (and their minds) are affected by our actions. This is particularly true in the Korean application of Confucian and Buddhist ideas.

Wŏnhyo understood that how we think about things shapes their very existence – and in turn our own existence, which is constructed according to our thoughts.

In the Korean tradition of philosophy, human beings are social beings, therefore knowing how to interact with others is an essential part of living a good life – indeed, living well with others is our real contribution to human life

he realised that there isn’t a difference between the ‘bowl’ and the skull: the only difference lies with us and our perceptions. We interpret our lives through a continual stream of thoughts, and so we become what we think, or rather how we think

As our daily lives are shaped by our thoughts, so our experience of this reality is good or bad – depending on our thoughts – which make things ‘appear’ good or bad because, in ‘reality’, things in and of themselves are devoid of their own independent nature

We can take from Wŏnhyo the idea that, if you change the patterns that have become engrained in how you think, you will begin to live differently. To do this, you need to change your mental habits, which is why meditation and mindful awareness can help. And this needs to be practised every day

Wŏnhyo’s most important work is titled Awaken your Mind and Practice (in Korean, Palsim suhaeng-jang). It is an explicit call to younger adherents to put Buddhist ideas into practice, and an indirect warning not to get lost in contemplation or in the study of text

While Wŏnhyo had emphasised the mind and the need to ‘practise’ Buddhism, a later Korean monk, Chinul (1158-1210), spearheaded Sŏn, the meditational tradition in Korea that espoused the idea of ‘sudden enlightenment’ that alerts the mind, accompanied by ‘gradual cultivation’

we still need to practise meditation, for if not we can easily fall into our old ways even if our minds have been awakened

his greatest contribution to Sŏn is Secrets on Cultivating the Mind (Susim kyŏl). This text outlines in detail his teachings on sudden awakening followed by the need for gradual cultivation

hinul’s approach recognises the mind as the ‘essence’ of one’s Buddha nature (contained in the mind, which is inherently good), while continual practice and cultivation aids in refining its ‘function’ – this is the origin of the ‘essence-function’ concept that has since become central to Korean philosophy.

These ideas also influenced the reformed view of Confucianism that became linked with the mind and other metaphysical ideas, finally becoming known as Neo-Confucianism.

During the Chosŏn dynasty (1392-1910), the longest lasting in East Asian history, Neo-Confucianism became integrated into society at all levels through rituals for marriage, funerals and ancestors

Neo-Confucianism recognises that we as individuals exist through plural relationships with responsibilities to others (as a child, brother/sister, lover, husband/wife, parent, teacher/student and so on), an idea nicely captured in 2000 by the French philosopher Jean-Luc Nancy when he described our ‘being’ as ‘singular plural’

Corrupt interpretations of Confucianism by heteronormative men have historically championed these ideas in terms of vertical relationships rather than as a reciprocal set of benevolent social interactions, meaning that women have suffered greatly as a result.

Setting aside these sexist and self-serving interpretations, Confucianism emphasises that society works as an interconnected set of complementary reciprocal relationships that should be beneficial to all parties within a social system

Confucian relationships have the potential to offer us an example of effective citizenship, similar to that outlined by Cicero, where the good of the republic or state is at the centre of being a good citizen

There is a general consensus in Korean philosophy that we have an innate sociability and therefore should have a sense of duty to each other and to practise virtue.

The main virtue of Confucianism is the idea of ‘humanity’, coming from the Chinese character 仁, often left untranslated and written as ren and pronounced in Korean as in.

It is a combination of the character for a human being and the number two. In other words, it signifies what (inter)connects two people, or rather how they should interact in a humane or benevolent manner to each other. This character therefore highlights the link between people while emphasising that the most basic thing that makes us ‘human’ is our interaction with others.

Neo-Confucianism adopted a turn towards a more mind-centred view in the writings of the Korean scholar Yi Hwang, known by his pen name T’oegye (1501-70), who appears on the 1,000-won note. He greatly influenced Neo-Confucianism in Japan through his formidable text, Ten Diagrams on Sage Learning (Sŏnghak sipto), composed in 1568, which was one of the most-reproduced texts of the entire Chosŏn dynasty and represents the synthesis of Neo-Confucian thought in Korea

with commentaries that elucidate the moral principles of Confucianism, related to the cardinal relationships and education. It also embodies T’oegye’s own development of moral psychology through his focus on the mind, and illuminates the importance of teaching and the practice of self-cultivation.

He writes that we ourselves can transform the unrestrained mind and its desires, and achieve sagehood, if we take the arduous, gradual path of self-cultivation centred on the mind.

Confucians had generally accepted the Mencian idea that human nature was embodied in the unaroused state of the mind, before it was shaped by its environment. The mind in its unaroused state was taken to be theoretically good. However, this inborn tendency for goodness is always in danger of being reduced to passivity, unless you cultivate yourself as a person of ‘humanity’ (in the Confucian sense mentioned above).

You should constantly try to activate your humanity to allow the unhampered operation of the original mind to manifest itself through socially responsible and moral character in action

Humanity is the realisation of what I describe as our ‘optimum level of perfection’ that exists in an inherent stage of potentiality due our innate good nature

This, in a sense, is like the Buddha nature of the Buddhists, which suggests we are already enlightened and just need to recover our innate mental state. Both philosophies are hopeful: humans are born good with the potential to correct their own flaws and failures

this could hardly contrast any more greatly with the Christian doctrine of original sin

The seventh diagram in T’oegye’s text is entitled ‘The Diagram of the Explanation of Humanity’ (Insŏl-to). Here he warns how one’s good inborn nature may become impaired, hampering the operation of the original mind and negatively impacting our character in action. Humanity embodies the gradual realisation of our optimum level of perfection that already exists in our mind but that depends on how we think about things and how we relate that to others in a social context

For T’oegye, the key to maintaining our capacity to remain level-headed, and to control our impulses and emotions, was kyŏng. This term is often translated as ‘seriousness’, occasionally ‘mindfulness’, and it identifies the serious need for constant effort to control one’s mind in order to go about one’s life in a healthy manner

For T’oegye, mindfulness is as serious as meditation is for the Buddhists. In fact, the Neo-Confucians had their own meditational practice of ‘quiet-sitting’ (chŏngjwa), which focused on recovering the calm and not agitated ‘original mind’, before putting our daily plans into action

These diagrams reinforce this need for a daily practice of Confucian mindfulness, because practice leads to the ‘good habit’ of creating (and maintaining) routines. There is no short-cut provided, no weekend intro to this practice: it is life-long, and that is what makes it transformative, leading us to become better versions of who were in the beginning. This is consolation of Korean philosophy.

Seeing the world as it is can steer us away from making unnecessary mistakes, while highlighting what is good and how to maintain that good while also reducing anxiety from an agitated mind and harmful desires. This is why Korean philosophy can provide us with consolation; it recognises the bad, but prioritises the good, providing several moral pathways that are referred to in the East Asian traditions (Confucianism, Buddhism and Daoism) as modes of ‘self-cultivation’

As social beings, we penetrate the consciousness of others, and so humans are linked externally through conduct but also internally through thought. Humanity is a unifying approach that holds the potential to solve human problems, internally and externally, as well as help people realise the perfection that is innately theirs

That’s an extraordinary thing to hear from a corporate CEO. Daunt wanted to run a bookstore that was “intellectually satisfying” and “feeds your mind.

If you want to sell music, you must love those songs. If you want to succeed in journalism, you must love those newspapers. If you want to succeed in movies, you must love the cinema.

You don’t fall in love for logical reasons, and you could never convince someone else to do so on the basis of arguments. People either feel it or they don’t. That’s true whether you love your spouse or you love something more intangible like a song or a book or a movie.

But even if you can’t teach this kind of love, you know it when you see it. There are people who are passionate about these things. They believe in them with ardor and devotion. You can find them and hire these people—and those are the individuals you can trust.

The Samsung threat represented the first potential crack in Google’s seemingly impregnable search business, which was worth $162 billion last year.

Modernizing its search engine has become an obsession at Google, and the planned changes could put new A.I. technology in phones and homes all over the world.

Google has been worried about A.I.-powered competitors since OpenAI, a San Francisco start-up that is working with Microsoft, demonstrated a chatbot called ChatGPT in November. About two weeks later, Google created a task force in its search division to start building A.I. products,

Google has been doing A.I. research for years. Its DeepMind lab in London is considered one of the best A.I. research centers in the world, and the company has been a pioneer with A.I. projects, such as self-driving cars and the so-called large language models that are used in the development of chatbots. In recent years, Google has used large language models to improve the quality of its search results, but held off on fully adopting A.I. because it has been prone to generating false and biased statements.

Now the priority is winning control of the industry’s next big thing. Last month, Google released its own chatbot, Bard, but the technology received mixed reviews.

The system would learn what users want to know based on what they’re searching when they begin using it. And it would offer lists of preselected options for objects to buy, information to research and other information. It would also be more conversational — a bit like chatting with a helpful person.

Magi would keep ads in the mix of search results. Search queries that could lead to a financial transaction, such as buying shoes or booking a flight, for example, would still feature ads on their results pages.

Last week, Google invited some employees to test Magi’s features, and it has encouraged them to ask the search engine follow-up questions to judge its ability to hold a conversation. Google is expected to release the tools to the public next month and add more features in the fall, according to the planning document.

The company plans to initially release the features to a maximum of one million people. That number should progressively increase to 30 million by the end of the year. The features will be available exclusively in the United States.

Google has also explored efforts to let people use Google Earth’s mapping technology with help from A.I. and search for music through a conversation with a chatbot

A tool called GIFI would use A.I. to generate images in Google Image results.

Tivoli Tutor, would teach users a new language through open-ended A.I. text conversations.

Yet another product, Searchalong, would let users ask a chatbot questions while surfing the web through Google’s Chrome browser. People might ask the chatbot for activities near an Airbnb rental, for example, and the A.I. would scan the page and the rest of the internet for a response.

“If we are the leading search engine and this is a new attribute, a new feature, a new characteristic of search engines, we want to make sure that we’re in this race as well,”

a 2022 Reuters investigation found that some American clinics were quite aggressive with treatment: None of the 18 U.S. clinics that Reuters looked at performed long assessments on their patients, and some prescribed puberty blockers on the first visit.

As Cass writes in her report, “The toxicity of the debate is exceptional.” She continues, “There are few other areas of health care where professionals are so afraid to openly discuss their views, where people are vilified on social media and where name-calling echoes the worst bullying behavior.”

The report’s greatest strength is its epistemic humility. Cass is continually asking, “What do we really know?” She is carefully examining the various studies — which are high quality, which are not. She is down in the academic weeds.

he notes that the quality of the research in this field is poor. The current treatments are “built on shaky foundations,” she writes in The BMJ. Practitioners have raced ahead with therapies when we don’t know what the effects will be. As Cass tells The BMJ, “I can’t think of another area of pediatric care where we give young people a potentially irreversible treatment and have no idea what happens to them in adulthood.”

She writes in her report, “The option to provide masculinizing/feminizing hormones from age 16 is available, but the review would recommend extreme caution.

her core conclusion is this: “For most young people, a medical pathway will not be the best way to manage their gender-related distress.” She realizes that this conclusion will not please many of the young people she has come to know, but this is where the evidence has taken her.

In 1877 a British philosopher and mathematician named William Kingdon Clifford published an essay called “The Ethics of Belief.” In it he argued that if a shipowner ignored evidence that his craft had problems and sent the ship to sea having convinced himself it was safe, then of course we would blame him if the ship went down and all aboard were lost. To have a belief is to bear responsibility, and one thus has a moral responsibility to dig arduously into the evidence, avoid ideological thinking and take into account self-serving biases.

“It is wrong always, everywhere, and for anyone, to believe anything upon insufficient evidence,” Clifford wrote

A belief, he continued, is a public possession. If too many people believe things without evidence, “the danger to society is not merely that it should believe wrong things, though that is great enough; but that it should become credulous, and lose the habit of testing things and inquiring into them; for then it must sink back into savagery.”

Since the Trump years, this habit of not consulting the evidence has become the underlying crisis in so many realms. People segregate into intellectually cohesive teams, which are always dumber than intellectually diverse teams. Issues are settled by intimidation, not evidence

Our natural human tendency is to be too confident in our knowledge, too quick to ignore contrary evidence. But these days it has become acceptable to luxuriate in those epistemic shortcomings, not to struggle against them. See, for example, the modern Republican Party.

Since the 1960s, advances in resuscitation had helped to revive thousands of people who might otherwise have died. About 10% or 20% of those people brought with them stories of near-death experiences in which they felt their souls or selves departing from their bodies

According to several international surveys and studies, one in 10 people claims to have had a near-death experience involving cardiac arrest, or a similar experience in circumstances where they may have come close to death. That’s roughly 800 million souls worldwide who may have dipped a toe in the afterlife.

In the 1970s, a small network of cardiologists, psychiatrists, medical sociologists and social psychologists in North America and Europe began investigating whether near-death experiences proved that dying is not the end of being, and that consciousness can exist independently of the brain. The field of near-death studies was born.

in 1975, an American medical student named Raymond Moody published a book called Life After Life.

Meanwhile, new technologies and techniques were helping doctors revive more and more people who, in earlier periods of history, would have almost certainly been permanently deceased.

“We are now at the point where we have both the tools and the means to scientifically answer the age-old question: What happens when we die?” wrote Sam Parnia, an accomplished resuscitation specialist and one of the world’s leading experts on near-death experiences, in 2006. Parnia himself was devising an international study to test whether patients could have conscious awareness even after they were found clinically dead.

Borjigin, together with several colleagues, took the first close look at the record of electrical activity in the brain of Patient One after she was taken off life support. What they discovered – in results reported for the first time last year – was almost entirely unexpected, and has the potential to rewrite our understanding of death.

“I believe what we found is only the tip of a vast iceberg,” Borjigin told me. “What’s still beneath the surface is a full account of how dying actually takes place. Because there’s something happening in there, in the brain, that makes no sense.”

Over the next 30 years, researchers collected thousands of case reports of people who had had near-death experiences

Moody was their most important spokesman; he eventually claimed to have had multiple past lives and built a “psychomanteum” in rural Alabama where people could attempt to summon the spirits of the dead by gazing into a dimly lit mirror.

near-death studies was already splitting into several schools of belief, whose tensions continue to this day. One influential camp was made up of spiritualists, some of them evangelical Christians, who were convinced that near-death experiences were genuine sojourns in the land of the dead and divine

It is no longer unheard of for people to be revived even six hours after being declared clinically dead. In 2011, Japanese doctors reported the case of a young woman who was found in a forest one morning after an overdose stopped her heart the previous night; using advanced technology to circulate blood and oxygen through her body, the doctors were able to revive her more than six hours later, and she was able to walk out of the hospital after three weeks of care

The second, and largest, faction of near-death researchers were the parapsychologists, those interested in phenomena that seemed to undermine the scientific orthodoxy that the mind could not exist independently of the brain. These researchers, who were by and large trained scientists following well established research methods, tended to believe that near-death experiences offered evidence that consciousness could persist after the death of the individua

Their aim was to find ways to test their theories of consciousness empirically, and to turn near-death studies into a legitimate scientific endeavour.

Finally, there emerged the smallest contingent of near-death researchers, who could be labelled the physicalists. These were scientists, many of whom studied the brain, who were committed to a strictly biological account of near-death experiences. Like dreams, the physicalists argued, near-death experiences might reveal psychological truths, but they did so through hallucinatory fictions that emerged from the workings of the body and the brain.

Between 1975, when Moody published Life After Life, and 1984, only 17 articles in the PubMed database of scientific publications mentioned near-death experiences. In the following decade, there were 62. In the most recent 10-year span, there were 221.

Today, there is a widespread sense throughout the community of near-death researchers that we are on the verge of great discoveries

“We really are in a crucial moment where we have to disentangle consciousness from responsiveness, and maybe question every state that we consider unconscious,”

“I think in 50 or 100 years time we will have discovered the entity that is consciousness,” he told me. “It will be taken for granted that it wasn’t produced by the brain, and it doesn’t die when you die.”

it is in large part because of a revolution in our ability to resuscitate people who have suffered cardiac arrest

In his book, Moody distilled the reports of 150 people who had had intense, life-altering experiences in the moments surrounding a cardiac arrest. Although the reports varied, he found that they often shared one or more common features or themes. The narrative arc of the most detailed of those reports – departing the body and travelling through a long tunnel, having an out-of-body experience, encountering spirits and a being of light, one’s whole life flashing before one’s eyes, and returning to the body from some outer limit – became so canonical that the art critic Robert Hughes could refer to it years later as “the familiar kitsch of near-death experience”.

Loss of oxygen to the brain and other organs generally follows within seconds or minutes, although the complete cessation of activity in the heart and brain – which is often called “flatlining” or, in the case of the latter, “brain death” – may not occur for many minutes or even hours.

That began to change in 1960, when the combination of mouth-to-mouth ventilation, chest compressions and external defibrillation known as cardiopulmonary resuscitation, or CPR, was formalised. Shortly thereafter, a massive campaign was launched to educate clinicians and the public on CPR’s basic techniques, and soon people were being revived in previously unthinkable, if still modest, numbers.

scientists learned that, even in its acute final stages, death is not a point, but a process. After cardiac arrest, blood and oxygen stop circulating through the body, cells begin to break down, and normal electrical activity in the brain gets disrupted. But the organs don’t fail irreversibly right away, and the brain doesn’t necessarily cease functioning altogether. There is often still the possibility of a return to life. In some cases, cell death can be stopped or significantly slowed, the heart can be restarted, and brain function can be restored. In other words, the process of death can be reversed.

In a medical setting, “clinical death” is said to occur at the moment the heart stops pumping blood, and the pulse stops. This is widely known as cardiac arrest

In 2019, a British woman named Audrey Schoeman who was caught in a snowstorm spent six hours in cardiac arrest before doctors brought her back to life with no evident brain damage.

That is a key tenet of the parapsychologists’ arguments: if there is consciousness without brain activity, then consciousness must dwell somewhere beyond the brain

Some of the parapsychologists speculate that it is a “non-local” force that pervades the universe, like electromagnetism. This force is received by the brain, but is not generated by it, the way a television receives a broadcast.

In order for this argument to hold, something else has to be true: near-death experiences have to happen during death, after the brain shuts down

To prove this, parapsychologists point to a number of rare but astounding cases known as “veridical” near-death experiences, in which patients seem to report details from the operating room that they might have known only if they had conscious awareness during the time that they were clinically dead.

At the very least, Parnia and his colleagues have written, such phenomena are “inexplicable through current neuroscientific models”. Unfortunately for the parapsychologists, however, none of the reports of post-death awareness holds up to strict scientific scrutiny. “There are many claims of this kind, but in my long decades of research into out-of-body and near-death experiences I never met any convincing evidence that this is true,”

In other cases, there’s not enough evidence to prove that the experiences reported by cardiac arrest survivors happened when their brains were shut down, as opposed to in the period before or after they supposedly “flatlined”. “So far, there is no sufficiently rigorous, convincing empirical evidence that people can observe their surroundings during a near-death experience,”

The parapsychologists tend to push back by arguing that even if each of the cases of veridical near-death experiences leaves room for scientific doubt, surely the accumulation of dozens of these reports must count for something. But that argument can be turned on its head: if there are so many genuine instances of consciousness surviving death, then why should it have so far proven impossible to catch one empirically?

The spiritualists and parapsychologists are right to insist that something deeply weird is happening to people when they die, but they are wrong to assume it is happening in the next life rather than this one. At least, that is the implication of what Jimo Borjigin found when she investigated the case of Patient One.

Given the levels of activity and connectivity in particular regions of her dying brain, Borjigin believes it’s likely that Patient One had a profound near-death experience with many of its major features: out-of-body sensations, visions of light, feelings of joy or serenity, and moral re-evaluations of one’s life. Of course,

“As she died, Patient One’s brain was functioning in a kind of hyperdrive,” Borjigin told me. For about two minutes after her oxygen was cut off, there was an intense synchronisation of her brain waves, a state associated with many cognitive functions, including heightened attention and memory. The synchronisation dampened for about 18 seconds, then intensified again for more than four minutes. It faded for a minute, then came back for a third time.

n those same periods of dying, different parts of Patient One’s brain were suddenly in close communication with each other. The most intense connections started immediately after her oxygen stopped, and lasted for nearly four minutes. There was another burst of connectivity more than five minutes and 20 seconds after she was taken off life support. In particular, areas of her brain associated with processing conscious experience – areas that are active when we move through the waking world, and when we have vivid dreams – were communicating with those involved in memory formation. So were parts of the brain associated with empathy. Even as she slipped irre

something that looked astonishingly like life was taking place over several minutes in Patient One’s brain.

Although a few earlier instances of brain waves had been reported in dying human brains, nothing as detailed and complex as what occurred in Patient One had ever been detected.

In the moments after Patient One was taken off oxygen, there was a surge of activity in her dying brain. Areas that had been nearly silent while she was on life support suddenly thrummed with high-frequency electrical signals called gamma waves. In particular, the parts of the brain that scientists consider a “hot zone” for consciousness became dramatically alive. In one section, the signals remained detectable for more than six minutes. In another, they were 11 to 12 times higher than they had been before Patient One’s ventilator was removed.

“The brain, contrary to everybody’s belief, is actually super active during cardiac arrest,” Borjigin said. Death may be far more alive than we ever thought possible.

“The brain is so resilient, the heart is so resilient, that it takes years of abuse to kill them,” she pointed out. “Why then, without oxygen, can a perfectly healthy person die within 30 minutes, irreversibly?”

Evidence is already emerging that even total brain death may someday be reversible. In 2019, scientists at Yale University harvested the brains of pigs that had been decapitated in a commercial slaughterhouse four hours earlier. Then they perfused the brains for six hours with a special cocktail of drugs and synthetic blood. Astoundingly, some of the cells in the brains began to show metabolic activity again, and some of the synapses even began firing.

One calculation performed by an audience demographics firm found 32 million connections to male followers among the 5,000 accounts examined by The Times.

Interacting with the men opens the door to abuse. Some flatter, bully and blackmail girls and their parents to get racier and racier images. The Times monitored separate exchanges on Telegram, the messaging app, where men openly fantasize about sexually abusing the children they follow on Instagram and extol the platform for making the images so readily available.

The so-called creator economy surpasses $250 billion worldwide, according to Goldman Sachs, with U.S. brands spending more than $5 billion a year on influencers.

The troubling interactions on Instagram come as social media companies increasingly dominate the cultural landscape and the internet is seen as a career path of its own.

Nearly one in three preteens lists influencing as a career goal, and 11 percent of those born in Generation Z, between 1997 and 2012, describe themselves as influencers.

“It’s like a candy store

Health and technology experts have recently cautioned that social media presents a “profound risk of harm” for girls. Constant comparisons to their peers and face-altering filters are driving negative feelings of self-worth and promoting objectification of their bodies, researchers found.

he pursuit of online fame, particularly through Instagram, has supercharged the often toxic phenomenon, The Times found, encouraging parents to commodify their children’s images. Some of the child influencers earn six-figure incomes, according to interviews.