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starting in the mid-2010s, those beloved blue skies began to disappear. First, the smoke came in occasional bursts, from wildfires in Canada or California or Siberia, and blew away when the wind changed direction. Within a few summers, though, it was coming in thicker, from more directions at once, and lasting longer.

Sometimes there were weeks when you were advised not to open your windows or exercise outside. Sometimes there were long stretches where you weren’t supposed to breathe the outside air at all.

Now lots of Bryant’s clients wanted to talk about climate change. They wanted to talk about how strange and disorienting and scary this new reality felt, about what the future might be like and how they might face it, about how to deal with all the strong feelings — helplessness, rage, depression, guilt — being stirred up inside them.

As a therapist, Bryant found himself unsure how to respond

while his clinical education offered lots of training in, say, substance abuse or family therapy, there was nothing about environmental crisis, or how to treat patients whose mental health was affected by it

Bryant immersed himself in the subject, joining and founding associations of climate-concerned therapists

could now turn to resources like the list maintained by the Climate Psychology Alliance North America, which contains more than 100 psychotherapists around the country who are what the organization calls “climate aware.”

Over and over, he read the same story, of potential patients who’d gone looking for someone to talk to about climate change and other environmental crises, only to be told that they were overreacting — that their concern, and not the climate, was what was out of whack and in need of treatment.

“You come in and talk about how anxious you are that fossil-fuel companies continue to pump CO2 into the air, and your therapist says, ‘So, tell me about your mother.’”

In many of the messages, people asked Bryant for referrals to climate-focused therapists in Houston or Canada or Taiwan, wherever it was the writer lived.

his practice had shifted to reflect a new reality of climate psychology. His clients didn’t just bring up the changing climate incidentally, or during disconcerting local reminders; rather, many were activists or scientists or people who specifically sought out Bryant because of their concerns about the climate crisis.

Climate change, in other words, surrounds us with constant reminders of “ethical dilemmas and deep social criticism of modern society. In its essence, climate crisis questions the relationship of humans with nature and the meaning of being human in the Anthropocene.”

It had been a challenging few years, Bryant told me when I first called to talk about his work. There were some ways in which climate fears were a natural fit in the therapy room, and he believed the field had coalesced around some answers that felt clear and useful

But treating those fears also stirred up lots of complicated questions that no one was quite sure how to answer. The traditional focus of his field, Bryant said, could be oversimplified as “fixing the individual”: treating patients as separate entities working on their personal growth

Climate change, by contrast, was a species-wide problem, a profound and constant reminder of how deeply intertwined we all are in complex systems — atmospheric, biospheric, economic — that are much bigger than us. It sometimes felt like a direct challenge to old therapeutic paradigms — and perhaps a chance to replace them with something better.

In one of climate psychology’s founding papers, published in 2011, Susan Clayton and Thomas J. Doherty posited that climate change would have “significant negative effects on mental health and well-being.” They described three broad types of possible impacts: the acute trauma of living through climate disasters; the corroding fear of a collapsing future; and the psychosocial decay that could damage the fabric of communities dealing with disruptive changes

All of these, they wrote, would make the climate crisis “as much a psychological and social phenomenon as a matter of biodiversity and geophysics.”

Many of these predictions have since been borne out

Studies have found rates of PTSD spiking in the wake of disasters, and in 2017 the American Psychological Association defined “ecoanxiety” as “a chronic fear of environmental doom.”

Climate-driven migration is on the rise, and so are stories of xenophobia and community mistrust.

eventually started a website, Climate & Mind, to serve as a sort of clearing house for other therapists searching for resources. Instead, the site became an unexpected window into the experience of would-be patients: Bryant found himself receiving messages from people around the world who stumbled across it while looking for help.

Many say it has led to symptoms of depression or anxiety; more than a quarter make an active effort not to think about it.

A poll by the American Psychiatric Association in the same year found that nearly half of Americans think climate change is already harming the nation’s mental health.

In June, the Yale Journal of Biology and Medicine published a paper cautioning that the world at large was facing “a psychological condition of ‘systemic uncertainty,’” in which “difficult emotions arise not only from experiencing the ecological loss itself,” but also from the fact that our lives are inescapably embedded in systems that keep on making those losses worse.

According to a 2022 survey by Yale and George Mason University, a majority of Americans report that they spend time worrying about climate change.

This is not an easy way to live.

Living within a context that is obviously unhealthful, he wrote, is painful: “a dimly intuited ‘fall’ from which we spend our lives trying to recover, a guilt we can never quite grasp or expiate” — a feeling of loss or dislocation whose true origins we look for, but often fail to see. This confusion leaves us feeling even worse.

When Barbara Easterlin first started studying environmental psychology 30 years ago, she told me, the focus of study was on ways in which cultivating a relationship with nature can be good for mental health

There was little or no attention to the fact that living through, or helping to cause, a collapse of nature can also be mentally harmful.

the field is still so new that it does not yet have evidence-tested treatments or standards of practice. Therapists sometimes feel as if they are finding the path as they go.

Rebecca Weston, a licensed clinical social worker practicing in New York and a co-president of the CPA-NA, told me that when she treats anxiety disorders, her goal is often to help the patient understand how much of their fear is internally produced — out of proportion to the reality they’re facing

climate anxiety is a different challenge, because people worried about climate change and environmental breakdown are often having the opposite experience: Their worries are rational and evidence-based, but they feel isolated and frustrated because they’re living in a society that tends to dismiss them.

One of the emerging tenets of climate psychology is that counselors should validate their clients’ climate-related emotions as reasonable, not pathological

it does mean validating that feelings like grief and fear and shame aren’t a form of sickness, but, as Weston put it, “are actually rational responses to a world that’s very scary and very uncertain and very dangerous for people

In the words of a handbook on climate psychology, “Paying heed to what is happening in our communities and across the globe is a healthier response than turning away in denial or disavowal.”

But this, too, raises difficult questions. “How much do we normalize people to the system we’re in?” Weston asked. “And is that the definition of health?

Or is the definition of health resisting the things that are making us so unhappy? That’s the profound tension within our field.”

“It seems to shift all the time, the sort of content and material that people are bringing in,” Alexandra Woollacott, a psychotherapist in Seattle, told the group. Sometimes it was a pervasive anxiety about the future, or trauma responses to fires or smoke or heat; other times, clients, especially young ones, wanted to vent their “sort of righteous anger and sense of betrayal” at the various powers that had built and maintained a society that was so destructive.

“I’m so glad that we have each other to process this,” she said, “because we’re humans living through this, too. I have my own trauma responses to it, I have my own grief process around it, I have my own fury at government and oil companies, and I think I don’t want to burden my clients with my own emotional response to it.”

In a field that has long emphasized boundaries, discouraging therapists from bringing their own issues or experiences into the therapy room, climate therapy offers a particular challenge: Separation can be harder when the problems at hand affect therapist and client alike

Some therapists I spoke to were worried about navigating the breakdown of barriers, while others had embraced it. “There is no place on the planet that won’t eventually be impacted, where client and therapist won’t be in it together,” a family therapist wrote in a CPA-NA newsletter. “Most therapists I know have become more vulnerable and self-disclosing in their practice.”

“If you look at or consider typical theoretical framings of something like post-traumatic growth, which is the understanding of this idea that people can sort of grow and become stronger and better after a traumatic event,” she said, then the climate crisis poses a dilemma because “there is no afterwards, right? There is no resolution anytime in our lifetimes to this crisis that we nonetheless have to build the capacities to face and to endure and to hopefully engage.”

“How,” she asked, “do you think about resilience apart from resolution?”

many of her patients are also disconnected from the natural world, which means that they struggle to process or even recognize the grief and alienation that comes from living in a society that treats nature as other, a resource to be used and discarded.

“I’m so excited by what you’re bringing in,” Woollacott replied. “I’m doing psychoanalytic training at the moment, and we study attachment theory” — how the stability of early emotional bonds affects future relationships and feelings of well-being. “But nowhere in the literature does it talk about our attachment to the land.”

Torres said that she sometimes takes her therapy sessions outside or asks patients to remember their earliest and deepest connections with animals or plants or places. She believes it will help if they learn to think of themselves “as rooted beings that aren’t just simply living in the human overlay on the environment.” It was valuable to recognize, she said, that “we are part of the land” and suffer when it suffers.

Torres described introducing her clients to methods — mindfulness, distress tolerance, emotion regulation — to help them manage acute feelings of stress or panic and to avoid the brittleness of burnout.

She also encourages them to narrativize the problem, including themselves as agents of change inside stories about how they came to be in this situation, and how they might make it different.

then she encourages them to find a community of other people who care about the same problems, with whom they could connect outside the therapy room. As Woollacott said earlier: “People who share your values. People who are committed to not looking away.”

Dwyer told the group that she had been thinking more about psychological adaptation as a form of climate mitigation

Therapy, she said, could be a way to steward human energy and creative capacities at a time when they’re most needed.

It was hard, Bryant told me when we first spoke, to do this sort of work without finding yourself asking bigger questions — namely, what was therapy actually about?

Many of the therapists I talked to spoke of their role not as “fixing” a patient’s problem or responding to a pathology, but simply giving their patients the tools to name and explore their most difficult emotions, to sit with painful feelings without instantly running away from them

many of the methods in their traditional tool kits continue to be useful in climate psychology. Anxiety and hopelessness and anger are all familiar territory, after all, with long histories of well-studied treatments.

They focused on trying to help patients develop coping skills and find meaning amid destabilization, to still see themselves as having agency and choice.

Weston, the therapist in New York, has had patients who struggle to be in a world that surrounds them with waste and trash, who experience panic because they can never find a place free of reminders of their society’s destruction

eston said, that she has trouble with the repeated refrain that therapist and patient experiencing the same losses and dreads at the same time constituted a major departure from traditional therapeutic practice

she believed this framing reflected and reinforced a bias inherent in a field that has long been most accessible to, and practiced by, the privileged. It was hardly new in the world, after all, to face the collapse of your entire way of life and still find ways to keep going.

Lately, Bryant told me, he’s been most excited about the work that happens outside the therapy room: places where groups of people gather to talk about their feelings and the future they’re facing

It was at such a meeting — a community event where people were brainstorming ways to adapt to climate chaos — that Weston, realizing she had concrete skills to offer, was inspired to rework her practice to focus on the challenge. She remembers finding the gathering empowering and energizing in a way she hadn’t experienced before. In such settings, it was automatic that people would feel embraced instead of isolated, natural that the conversation would start moving away from the individual and toward collective experiences and ideas.

There was no fully separate space, to be mended on its own. There was only a shared and broken world, and a community united in loving it.

Pandu Nayak, a vice president for search who leads the company’s search-quality teams, told me that snippets are designed to be helpful to the user, to surface relevant and high-caliber results. He argued that they are “usually an invitation to learn more” about a subject

“It’s a strange world where these massive companies think they’re just going to slap this generative slop at the top of search results and expect that they’re going to maintain quality of the experience,” Nicholas Diakopoulos, a professor of communication studies and computer science at Northwestern University, told me. “I’ve caught myself starting to read the generative results, and then I stop myself halfway through. I’m like, Wait, Nick. You can’t trust this.”

Nayak said the team focuses on the bigger underlying problem, and whether its algorithm can be trained to address it.

If Nayak is right, and people do still follow links even when presented with a snippet, anyone who wants to gain clicks or money through search has an incentive to capitalize on that—perhaps even by flooding the zone with AI-written content.

Nayak told me that Google plans to fight AI-generated spam as aggressively as it fights regular spam, and claimed that the company keeps about 99 percent of spam out of search results.

The result is a world that feels more confused, not less, as a result of new technology.

The Kenya result still pops up on Google, despite viral posts about it. This is a strategic choice, not an error. If a snippet violates Google policy (for example, if it includes hate speech) the company manually intervenes and suppresses it, Nayak said. However, if the snippet is untrue but doesn’t violate any policy or cause harm, the company will not intervene.

experts I spoke with had several ideas for how tech companies might mitigate the potential harms of relying on AI in search

For starters, tech companies could become more transparent about generative AI. Diakopoulos suggested that they could publish information about the quality of facts provided when people ask questions about important topics

They can use a coding technique known as “retrieval-augmented generation,” or RAG, which instructs the bot to cross-check its answer with what is published elsewhere, essentially helping it self-fact-check. (A spokesperson for Google said the company uses similar techniques to improve its output.) They could open up their tools to researchers to stress-test it. Or they could add more human oversight to their outputs, maybe investing in fact-checking efforts.

Fact-checking, however, is a fraught proposition. In January, Google’s parent company, Alphabet, laid off roughly 6 percent of its workers, and last month, the company cut at least 40 jobs in its Google News division. This is the team that, in the past, has worked with professional fact-checking organizations to add fact-checks into search results

Alex Heath, at The Verge, reported that top leaders were among those laid off, and Google declined to give me more information. It certainly suggests that Google is not investing more in its fact-checking partnerships as it builds its generative-AI tool.

Nayak acknowledged how daunting a task human-based fact-checking is for a platform of Google’s extraordinary scale. Fifteen percent of daily searches are ones the search engine hasn’t seen before, Nayak told me. “With this kind of scale and this kind of novelty, there’s no sense in which we can manually curate results.”

Creating an infinite, largely automated, and still accurate encyclopedia seems impossible. And yet that seems to be the strategic direction Google is taking.

A representative for Google told me that this was an example of a “false premise” search, a type that is known to trip up the algorithm. If she were trying to date me, she argued, she wouldn’t just stop at the AI-generated response given by the search engine, but would click the link to fact-check it.

Rather, our conversations are mediated through institutions like journals and newspapers and social-media platforms. They rely on a dense network of norms and rules, like truthfulness and fact-checking. They depend on the expertise of professionals, like peer reviewers and editors. The entire system rests on a foundation of values: a shared understanding that there are right and wrong ways to make knowledge.

Those values and rules and institutions do for knowledge what the U.S. Constitution does for politics: They create a governing structure, forcing social contestation onto peaceful and productive pathways.

I call them, collectively, the Constitution of Knowledge. If we want to defend that system from its many persistent attackers, we need to understand it—and its very special notion of reality.

What reality really is

The question “What is reality?” may seem either too metaphysical to answer meaningfully or too obvious to need answering

The whole problem is that humans have no direct access to an objective world independent of our minds and senses, and subjective certainty is no guarantee of truth. Faced with those problems and others, philosophers and practitioners think of reality as a set of propositions (or claims, or statements) that have been validated in some way, and that have thereby been shown to be at least conditionally true—true, that is, unless debunked

Some propositions reflect reality as we perceive it in everyday life (“The sky is blue”). Others, like the equations on a quantum physicist’s blackboard, are incomprehensible to intuition. Many fall somewhere in between.

a phrase I used a few sentences ago, “validated in some way,” hides a cheat. In epistemology, the whole question is, validated in what way? If we care about knowledge, freedom, and peace, then we need to stake a strong claim: Anyone can believe anything, but liberal science—open-ended, depersonalized checking by an error-seeking social network—is the only legitimate validator of knowledge, at least in the reality-based community.

That is a very bold, very broad, very tough claim, and it goes down very badly with lots of people and communities who feel ignored or oppressed by the Constitution of Knowledge: creationists, Christian Scientists, homeopaths, astrologists, flat-earthers, anti-vaxxers, birthers, 9/11 truthers, postmodern professors, political partisans, QAnon followers, and adherents of any number of other belief systems and religions.

But, like the U.S. Constitution’s claim to exclusivity in governing (“unconstitutional” means “illegal,” period), the Constitution of Knowledge’s claim to exclusivity is its sine qua non.

Rules for reality

The specific proposition does not matter. What does matter is that the only way to validate it is to submit it to the reality-based community. Otherwise, you could win dominance for your proposition by, say, brute force, threatening and jailing and torturing and killing those who see things differently—a standard method down through history

Say you believe something (X) to be true, and you believe that its acceptance as true by others is important or at least warranted

Or you and your like-minded friends could go off and talk only to each other, in which case you would have founded a cult—which is lawful but socially divisive and epistemically worthless.

Or you could engage in a social-media campaign to shame and intimidate those who disagree with you—a very common method these days, but one that stifles debate and throttles knowledge (and harms a lot of people).

What the reality-based community does is something else again. Its distinctive qualities derive from two core rules: 

what counts is the way the rule directs us to behave: You must assume your own and everyone else’s fallibility and you must hunt for your own and others’ errors, even if you are confident you are right. Otherwise, you are not reality-based.

The fallibilist rule: No one gets the final say. You may claim that a statement is established as knowledge only if it can be debunked, in principle, and only insofar as it withstands attempts to debunk it.

The empirical rule: No one has personal authority. You may claim that a statement has been established as knowledge only insofar as the method used to check it gives the same result regardless of the identity of the checker, and regardless of the source of the statement

Who you are does not count; the rules apply to everybody and persons are interchangeable. If your method is valid only for you or your affinity group or people who believe as you do, then you are not reality-based.

Whatever you do to check a proposition must be something that anyone can do, at least in principle, and get the same result. Also, no one proposing a hypothesis gets a free pass simply because of who she is or what group she belongs to.

Both rules have very profound social implications. “No final say” insists that to be knowledge, a statement must be checked; and it also says that knowledge is always provisional, standing only as long as it withstands checking.

“No personal authority” adds a crucial second step by defining what properly counts as checking. The point, as the great American philosopher Charles Sanders Peirce emphasized more than a century ago, is not that I look or you look but that we look; and then we compare, contest, and justify our views. Critically, then, the empirical rule is a social principle that forces us into the same conversation—a requirement that all of us, however different our viewpoints, agree to discuss what is in principle only one reality.

By extension, the empirical rule also dictates what does not count as checking: claims to authority by dint of a personally or tribally privileged perspective.

In principle, persons and groups are interchangeable. If I claim access to divine revelation, or if I claim the support of miracles that only believers can witness, or if I claim that my class or race or historically dominant status or historically oppressed status allows me to know and say things that others cannot, then I am breaking the empirical rule by exempting my views from contestability by others.

Though seemingly simple, the two rules define a style of social learning that prohibits a lot of the rhetorical moves we see every day.

Claiming that a conversation is too dangerous or blasphemous or oppressive or traumatizing to tolerate will almost always break the fallibilist rule.

Claims which begin “as a Jew,” or “as a queer,” or for that matter “as minister of information” or “as Pope” or “as head of the Supreme Soviet,” can be valid if they provide useful information about context or credentials; but if they claim to settle an argument by appealing to personal or tribal authority, rather than earned authority, they violate the empirical rule. 

“No personal authority” says nothing against trying to understand where people are coming from. If we are debating same-sex marriage, I may mention my experience as a gay person, and my experience may (I hope) be relevant.

But statements about personal standing and interest inform the conversation; they do not control it, dominate it, or end it. The rule acknowledges, and to an extent accepts, that people’s social positions and histories matter; but it asks its adherents not to burrow into their social identities, and not to play them as rhetorical trump cards, but to bring them to the larger project of knowledge-building and thereby transcend them.

the fallibilist and empirical rules are the common basis of science, journalism, law, and all the other branches of today’s reality-based community. For that reason, both rules also attract hostility, defiance, interference, and open warfare from those who would rather manipulate truth than advance it.

the stage was set for the major transformation, which began in 2009: the intensification of viral dynamics.

Before 2009, Facebook had given users a simple timeline––a never-ending stream of content generated by their friends and connections, with the newest posts at the top and the oldest ones at the bottom

That began to change in 2009, when Facebook offered users a way to publicly “like” posts with the click of a button. That same year, Twitter introduced something even more powerful: the “Retweet” button, which allowed users to publicly endorse a post while also sharing it with all of their followers.

“Like” and “Share” buttons quickly became standard features of most other platforms.

Facebook developed algorithms to bring each user the content most likely to generate a “like” or some other interaction, eventually including the “share” as well.

Later research showed that posts that trigger emotions––especially anger at out-groups––are the most likely to be shared.

By 2013, social media had become a new game, with dynamics unlike those in 2008. If you were skillful or lucky, you might create a post that would “go viral” and make you “internet famous”

If you blundered, you could find yourself buried in hateful comments. Your posts rode to fame or ignominy based on the clicks of thousands of strangers, and you in turn contributed thousands of clicks to the game.

This new game encouraged dishonesty and mob dynamics: Users were guided not just by their true preferences but by their past experiences of reward and punishment,

As a social psychologist who studies emotion, morality, and politics, I saw this happening too. The newly tweaked platforms were almost perfectly designed to bring out our most moralistic and least reflective selves. The volume of outrage was shocking.

It was just this kind of twitchy and explosive spread of anger that James Madison had tried to protect us from as he was drafting the U.S. Constitution.

The Framers of the Constitution were excellent social psychologists. They knew that democracy had an Achilles’ heel because it depended on the collective judgment of the people, and democratic communities are subject to “the turbulency and weakness of unruly passions.”

The key to designing a sustainable republic, therefore, was to build in mechanisms to slow things down, cool passions, require compromise, and give leaders some insulation from the mania of the moment while still holding them accountable to the people periodically, on Election Day.

The tech companies that enhanced virality from 2009 to 2012 brought us deep into Madison’s nightmare.

a less quoted yet equally important insight, about democracy’s vulnerability to triviality.

Madison notes that people are so prone to factionalism that “where no substantial occasion presents itself, the most frivolous and fanciful distinctions have been sufficient to kindle their unfriendly passions and excite their most violent conflicts.”

Social media has both magnified and weaponized the frivolous.

It’s not just the waste of time and scarce attention that matters; it’s the continual chipping-away of trust.

a democracy depends on widely internalized acceptance of the legitimacy of rules, norms, and institutions.

when citizens lose trust in elected leaders, health authorities, the courts, the police, universities, and the integrity of elections, then every decision becomes contested; every election becomes a life-and-death struggle to save the country from the other side

The most recent Edelman Trust Barometer (an international measure of citizens’ trust in government, business, media, and nongovernmental organizations) showed stable and competent autocracies (China and the United Arab Emirates) at the top of the list, while contentious democracies such as the United States, the United Kingdom, Spain, and South Korea scored near the bottom (albeit above Russia).

The literature is complex—some studies show benefits, particularly in less developed democracies—but the review found that, on balance, social media amplifies political polarization; foments populism, especially right-wing populism; and is associated with the spread of misinformation.

When people lose trust in institutions, they lose trust in the stories told by those institutions. That’s particularly true of the institutions entrusted with the education of children.

Facebook and Twitter make it possible for parents to become outraged every day over a new snippet from their children’s history lessons––and math lessons and literature selections, and any new pedagogical shifts anywhere in the country

The motives of teachers and administrators come into question, and overreaching laws or curricular reforms sometimes follow, dumbing down education and reducing trust in it further.

young people educated in the post-Babel era are less likely to arrive at a coherent story of who we are as a people, and less likely to share any such story with those who attended different schools or who were educated in a different decade.

former CIA analyst Martin Gurri predicted these fracturing effects in his 2014 book, The Revolt of the Public. Gurri’s analysis focused on the authority-subverting effects of information’s exponential growth, beginning with the internet in the 1990s. Writing nearly a decade ago, Gurri could already see the power of social media as a universal solvent, breaking down bonds and weakening institutions everywhere it reached.

he notes a constructive feature of the pre-digital era: a single “mass audience,” all consuming the same content, as if they were all looking into the same gigantic mirror at the reflection of their own society. I

The digital revolution has shattered that mirror, and now the public inhabits those broken pieces of glass. So the public isn’t one thing; it’s highly fragmented, and it’s basically mutually hostile

Facebook, Twitter, YouTube, and a few other large platforms unwittingly dissolved the mortar of trust, belief in institutions, and shared stories that had held a large and diverse secular democracy together.

I think we can date the fall of the tower to the years between 2011 (Gurri’s focal year of “nihilistic” protests) and 2015, a year marked by the “great awokening” on the left and the ascendancy of Donald Trump on the right.

Twitter can overpower all the newspapers in the country, and stories cannot be shared (or at least trusted) across more than a few adjacent fragments—so truth cannot achieve widespread adherence.

fter Babel, nothing really means anything anymore––at least not in a way that is durable and on which people widely agree.

Politics After Babel

“Politics is the art of the possible,” the German statesman Otto von Bismarck said in 1867. In a post-Babel democracy, not much may be possible.

The ideological distance between the two parties began increasing faster in the 1990s. Fox News and the 1994 “Republican Revolution” converted the GOP into a more combative party.

So cross-party relationships were already strained before 2009. But the enhanced virality of social media thereafter made it more hazardous to be seen fraternizing with the enemy or even failing to attack the enemy with sufficient vigor.

What changed in the 2010s? Let’s revisit that Twitter engineer’s metaphor of handing a loaded gun to a 4-year-old. A mean tweet doesn’t kill anyone; it is an attempt to shame or punish someone publicly while broadcasting one’s own virtue, brilliance, or tribal loyalties. It’s more a dart than a bullet

from 2009 to 2012, Facebook and Twitter passed out roughly 1 billion dart guns globally. We’ve been shooting one another ever since.

“devoted conservatives,” comprised 6 percent of the U.S. population.

the warped “accountability” of social media has also brought injustice—and political dysfunction—in three ways.

First, the dart guns of social media give more power to trolls and provocateurs while silencing good citizens.

a small subset of people on social-media platforms are highly concerned with gaining status and are willing to use aggression to do so.

Across eight studies, Bor and Petersen found that being online did not make most people more aggressive or hostile; rather, it allowed a small number of aggressive people to attack a much larger set of victims. Even a small number of jerks were able to dominate discussion forums,

Additional research finds that women and Black people are harassed disproportionately, so the digital public square is less welcoming to their voices.

Second, the dart guns of social media give more power and voice to the political extremes while reducing the power and voice of the moderate majority.

The “Hidden Tribes” study, by the pro-democracy group More in Common, surveyed 8,000 Americans in 2017 and 2018 and identified seven groups that shared beliefs and behaviors.

Social media has given voice to some people who had little previously, and it has made it easier to hold powerful people accountable for their misdeeds

The group furthest to the left, the “progressive activists,” comprised 8 percent of the population. The progressive activists were by far the most prolific group on social media: 70 percent had shared political content over the previous year. The devoted conservatives followed, at 56 percent.

These two extreme groups are similar in surprising ways. They are the whitest and richest of the seven groups, which suggests that America is being torn apart by a battle between two subsets of the elite who are not representative of the broader society.

they are the two groups that show the greatest homogeneity in their moral and political attitudes.

likely a result of thought-policing on social media:

political extremists don’t just shoot darts at their enemies; they spend a lot of their ammunition targeting dissenters or nuanced thinkers on their own team.

Finally, by giving everyone a dart gun, social media deputizes everyone to administer justice with no due process. Platforms like Twitter devolve into the Wild West, with no accountability for vigilantes.

Enhanced-virality platforms thereby facilitate massive collective punishment for small or imagined offenses, with real-world consequences, including innocent people losing their jobs and being shamed into suicide

we don’t get justice and inclusion; we get a society that ignores context, proportionality, mercy, and truth.

Since the tower fell, debates of all kinds have grown more and more confused. The most pervasive obstacle to good thinking is confirmation bias, which refers to the human tendency to search only for evidence that confirms our preferred beliefs

search engines were supercharging confirmation bias, making it far easier for people to find evidence for absurd beliefs and conspiracy theorie

The most reliable cure for confirmation bias is interaction with people who don’t share your beliefs. They confront you with counterevidence and counterargument.

In his book The Constitution of Knowledge, Jonathan Rauch describes the historical breakthrough in which Western societies developed an “epistemic operating system”—that is, a set of institutions for generating knowledge from the interactions of biased and cognitively flawed individuals

English law developed the adversarial system so that biased advocates could present both sides of a case to an impartial jury.

Newspapers full of lies evolved into professional journalistic enterprises, with norms that required seeking out multiple sides of a story, followed by editorial review, followed by fact-checking.

Universities evolved from cloistered medieval institutions into research powerhouses, creating a structure in which scholars put forth evidence-backed claims with the knowledge that other scholars around the world would be motivated to gain prestige by finding contrary evidence.

Part of America’s greatness in the 20th century came from having developed the most capable, vibrant, and productive network of knowledge-producing institutions in all of human history

But this arrangement, Rauch notes, “is not self-maintaining; it relies on an array of sometimes delicate social settings and understandings, and those need to be understood, affirmed, and protected.”

This, I believe, is what happened to many of America’s key institutions in the mid-to-late 2010s. They got stupider en masse because social media instilled in their members a chronic fear of getting darted

it was so pervasive that it established new behavioral norms backed by new policies seemingly overnight

Participants in our key institutions began self-censoring to an unhealthy degree, holding back critiques of policies and ideas—even those presented in class by their students—that they believed to be ill-supported or wrong.

The stupefying process plays out differently on the right and the left because their activist wings subscribe to different narratives with different sacred values.

The “Hidden Tribes” study tells us that the “devoted conservatives” score highest on beliefs related to authoritarianism. They share a narrative in which America is eternally under threat from enemies outside and subversives within; they see life as a battle between patriots and traitors.

they are psychologically different from the larger group of “traditional conservatives” (19 percent of the population), who emphasize order, decorum, and slow rather than radical change.

The traditional punishment for treason is death, hence the battle cry on January 6: “Hang Mike Pence.”

Right-wing death threats, many delivered by anonymous accounts, are proving effective in cowing traditional conservatives

The wave of threats delivered to dissenting Republican members of Congress has similarly pushed many of the remaining moderates to quit or go silent, giving us a party ever more divorced from the conservative tradition, constitutional responsibility, and reality.

The stupidity on the right is most visible in the many conspiracy theories spreading across right-wing media and now into Congress.

The Democrats have also been hit hard by structural stupidity, though in a different way. In the Democratic Party, the struggle between the progressive wing and the more moderate factions is open and ongoing, and often the moderates win.

The problem is that the left controls the commanding heights of the culture: universities, news organizations, Hollywood, art museums, advertising, much of Silicon Valley, and the teachers’ unions and teaching colleges that shape K–12 education. And in many of those institutions, dissent has been stifled:

Liberals in the late 20th century shared a belief that the sociologist Christian Smith called the “liberal progress” narrative, in which America used to be horrifically unjust and repressive, but, thanks to the struggles of activists and heroes, has made (and continues to make) progress toward realizing the noble promise of its founding.

It is also the view of the “traditional liberals” in the “Hidden Tribes” study (11 percent of the population), who have strong humanitarian values, are older than average, and are largely the people leading America’s cultural and intellectual institutions.

when the newly viralized social-media platforms gave everyone a dart gun, it was younger progressive activists who did the most shooting, and they aimed a disproportionate number of their darts at these older liberal leaders.

Confused and fearful, the leaders rarely challenged the activists or their nonliberal narrative in which life at every institution is an eternal battle among identity groups over a zero-sum pie, and the people on top got there by oppressing the people on the bottom. This new narrative is rigidly egalitarian––focused on equality of outcomes, not of rights or opportunities. It is unconcerned with individual rights.

The universal charge against people who disagree with this narrative is not “traitor”; it is “racist,” “transphobe,” “Karen,” or some related scarlet letter marking the perpetrator as one who hates or harms a marginalized group.

The punishment that feels right for such crimes is not execution; it is public shaming and social death.

anyone on Twitter had already seen dozens of examples teaching the basic lesson: Don’t question your own side’s beliefs, policies, or actions. And when traditional liberals go silent, as so many did in the summer of 2020, the progressive activists’ more radical narrative takes over as the governing narrative of an organization.

This is why so many epistemic institutions seemed to “go woke” in rapid succession that year and the next, beginning with a wave of controversies and resignations at The New York Times and other newspapers, and continuing on to social-justice pronouncements by groups of doctors and medical associations

The problem is structural. Thanks to enhanced-virality social media, dissent is punished within many of our institutions, which means that bad ideas get elevated into official policy.

In a 2018 interview, Steve Bannon, the former adviser to Donald Trump, said that the way to deal with the media is “to flood the zone with shit.” He was describing the “firehose of falsehood” tactic pioneered by Russian disinformation programs to keep Americans confused, disoriented, and angry.

artificial intelligence is close to enabling the limitless spread of highly believable disinformation. The AI program GPT-3 is already so good that you can give it a topic and a tone and it will spit out as many essays as you like, typically with perfect grammar and a surprising level of coherence.

Renée DiResta, the research manager at the Stanford Internet Observatory, explained that spreading falsehoods—whether through text, images, or deep-fake videos—will quickly become inconceivably easy. (She co-wrote the essay with GPT-3.)

American factions won’t be the only ones using AI and social media to generate attack content; our adversaries will too.

In the 20th century, America’s shared identity as the country leading the fight to make the world safe for democracy was a strong force that helped keep the culture and the polity together.

In the 21st century, America’s tech companies have rewired the world and created products that now appear to be corrosive to democracy, obstacles to shared understanding, and destroyers of the modern tower.

What changes are needed?

I can suggest three categories of reforms––three goals that must be achieved if democracy is to remain viable in the post-Babel era.

We must harden democratic institutions so that they can withstand chronic anger and mistrust, reform social media so that it becomes less socially corrosive, and better prepare the next generation for democratic citizenship in this new age.

Harden Democratic Institutions

we must reform key institutions so that they can continue to function even if levels of anger, misinformation, and violence increase far above those we have today.

Reforms should reduce the outsize influence of angry extremists and make legislators more responsive to the average voter in their district.

One example of such a reform is to end closed party primaries, replacing them with a single, nonpartisan, open primary from which the top several candidates advance to a general election that also uses ranked-choice voting

A second way to harden democratic institutions is to reduce the power of either political party to game the system in its favor, for example by drawing its preferred electoral districts or selecting the officials who will supervise elections

These jobs should all be done in a nonpartisan way.

Reform Social Media

Social media’s empowerment of the far left, the far right, domestic trolls, and foreign agents is creating a system that looks less like democracy and more like rule by the most aggressive.

it is within our power to reduce social media’s ability to dissolve trust and foment structural stupidity. Reforms should limit the platforms’ amplification of the aggressive fringes while giving more voice to what More in Common calls “the exhausted majority.”

the main problem with social media is not that some people post fake or toxic stuff; it’s that fake and outrage-inducing content can now attain a level of reach and influence that was not possible before

Perhaps the biggest single change that would reduce the toxicity of existing platforms would be user verification as a precondition for gaining the algorithmic amplification that social media offers.

One of the first orders of business should be compelling the platforms to share their data and their algorithms with academic researchers.

Prepare the Next Generation

Childhood has become more tightly circumscribed in recent generations––with less opportunity for free, unstructured play; less unsupervised time outside; more time online. Whatever else the effects of these shifts, they have likely impeded the development of abilities needed for effective self-governance for many young adults

Depression makes people less likely to want to engage with new people, ideas, and experiences. Anxiety makes new things seem more threatening. As these conditions have risen and as the lessons on nuanced social behavior learned through free play have been delayed, tolerance for diverse viewpoints and the ability to work out disputes have diminished among many young people

Students did not just say that they disagreed with visiting speakers; some said that those lectures would be dangerous, emotionally devastating, a form of violence. Because rates of teen depression and anxiety have continued to rise into the 2020s, we should expect these views to continue in the generations to follow, and indeed to become more severe.

The most important change we can make to reduce the damaging effects of social media on children is to delay entry until they have passed through puberty.

The age should be raised to at least 16, and companies should be held responsible for enforcing it.

et them out to play. Stop starving children of the experiences they most need to become good citizens: free play in mixed-age groups of children with minimal adult supervision

while social media has eroded the art of association throughout society, it may be leaving its deepest and most enduring marks on adolescents. A surge in rates of anxiety, depression, and self-harm among American teens began suddenly in the early 2010s. (The same thing happened to Canadian and British teens, at the same time.) The cause is not known, but the timing points to social media as a substantial contributor—the surge began just as the large majority of American teens became daily users of the major platforms.

What would it be like to live in Babel in the days after its destruction? We know. It is a time of confusion and loss. But it is also a time to reflect, listen, and build.

In recent years, Americans have started hundreds of groups and organizations dedicated to building trust and friendship across the political divide, including BridgeUSA, Braver Angels (on whose board I serve), and many others listed at BridgeAlliance.us. We cannot expect Congress and the tech companies to save us. We must change ourselves and our communities.

when we look away from our dysfunctional federal government, disconnect from social media, and talk with our neighbors directly, things seem more hopeful. Most Americans in the More in Common report are members of the “exhausted majority,” which is tired of the fighting and is willing to listen to the other side and compromise. Most Americans now see that social media is having a negative impact on the country, and are becoming more aware of its damaging effects on children.

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.”

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

The students who’d been told they were almost always right were, on average, no more discerning than those who had been told they were mostly wrong.

In the second phase of the study, the deception was revealed. The students were told that the real point of the experiment was to gauge their responses to thinking they were right or wrong.

Once again, midway through the study, the students were informed that they’d been misled, and that the information they’d received was entirely fictitious. The students were then asked to describe their own beliefs

The students who’d received the first packet thought that he would avoid it. The students in the second group thought he’d embrace it.

Even after the evidence “for their beliefs has been totally refuted, people fail to make appropriate revisions in those beliefs,” the researchers noted. In this case, the failure was “particularly impressive,”

Humans’ biggest advantage over other species is our ability to coöperate. Coöperation is difficult to establish and almost as difficult to sustain

Reason is an adaptation to the hypersocial niche humans have evolved for themselves

Consider what’s become known as “confirmation bias,” the tendency people have to embrace information that supports their beliefs and reject information that contradicts them

Of the many forms of faulty thinking that have been identified, confirmation bias is among the best catalogued; it’s the subject of entire textbooks’ worth of experiments

One implication of the naturalness with which we divide cognitive labor,” they write, is that there’s “no sharp boundary between one person’s ideas and knowledge” and “those of other members” of the group

reason is an evolved trait, like bipedalism or three-color vision. It emerged on the savannas of Africa, and has to be understood in that context

the popular suffix “maxxing” for “maximizing” (e.g., “I’m burritomaxxing” instead of “I’m eating a lot of burritos”) is drawn from the incel idea of “looksmaxxing,” or “maximizing attractiveness” through surgical or cosmetic techniques.

Then there’s the word “cucked” for “weakened” or “emasculated.” If the taqueria is out of burritos, you might be “tacocucked,” drawing on the incel idea of being sexually emasculated by more attractive “chads.

finally, we have the word “sigma” for “assertive male,” which comes from an incel’s desired position outside the social hierarchy.

there’s a dark side to the site as well — certain boards, like /r9k/, are known breeding grounds for incel discussion, and the source of the incel words being used today.

These slang terms developed on 4chan precisely because of the site’s anonymity. Since users don’t have identifiable aliases, they signal their in-group status through performative fluency in shared slang

Memes and niche vocabulary become a form of cultural currency, fueling their proliferation.

From there, those words filter out to more mainstream websites such as Reddit and eventually become popularized by viral memes and TikTok trends. Social media algorithms do the rest of the work by curating recommended content for viewers.

Because these terms often spread in ironic contexts, people find them funny, engage with them and are eventually rewarded with more memes featuring incel vocabulary.

Creators are not just aware of this process — they are directly incentivized to abet it. We know that using trending audio helps our videos perform better and that incorporating popular metadata with hashtags or captions will help us reach wider audiences

kids aren’t actually saying “cucked” because they’re “blackpilled”; they’re using it for the same reason all kids use slang: It helps them bond as a group. And what are they bonding over? A shared mockery of incel ideas.

These words capture an important piece of the Gen Z zeitgeist. We should therefore be aware of them, keeping in mind that they’re being used ironically.

The human problem-solvers — 609 high school students from 108 countries — won 58 gold medals, 123 silver and 145 bronze. The A.I. performed at the level of a silver medalist, solving four out of six problems for a total of 28 points. It was the first time that A.I. has achieved a medal-worthy performance on an Olympiad’s problems.

Nonetheless, Dr. Kohli described the result as a “phase transition” — a transformative change — “in the use of A.I. in mathematics and the ability of A.I. systems to do mathematics.”

Dr. Gowers added in an email: “I was definitely impressed.” The lab had discussed its Olympiad ambitions with him a couple of weeks beforehand, so “my expectations were quite high,” he said. “But the program met them, and in one or two instances significantly surpassed them.” The program found the “magic keys” that unlocked the problems, he said.

Haojia Shi, a student from China, ranked No. 1 and was the only competitor to earn a perfect score — 42 points for six problems; each problem is worth seven points for a full solution. The U.S. team won first place with 192 points; China placed second with 190.

The Google system earned its 28 points for fully solving four problems — two in algebra, one in geometry and one in number theory. (It flopped at two combinatorics problems.) The system was allowed unlimited time; for some problems it took up to three days. The students were allotted only 4.5 hours per exam.

“The fact that we’ve reached this threshold, where it’s even possible to tackle these problems at all, is what represents a step-change in the history of mathematics,” he added. “And hopefully it’s not just a step-change in the I.M.O., but also represents the point at which we went from computers only being able to prove very, very simple things toward computers being able to prove things that humans can’t.”

“Mathematics requires this interesting combination of abstract, precise and creative reasoning,” Dr. Davies said. In part, he noted, this repertoire of abilities is what makes math a good litmus test for the ultimate goal: reaching so-called artificial general intelligence, or A.G.I., a system with capabilities ranging from emerging to competent to virtuoso to superhuman

In January, a Google DeepMind system named AlphaGeometry solved a sampling of Olympiad geometry problems at nearly the level of a human gold medalist. “AlphaGeometry 2 has now surpassed the gold medalists in solving I.M.O. problems,” Thang Luong, the principal investigator, said in an email.

Dr. Hubert’s team developed a new model that is comparable but more generalized. Named AlphaProof, it is designed to engage with a broad range of mathematical subjects. All told, AlphaGeometry and AlphaProof made use of a number of different A.I. technologies.

One approach was an informal reasoning system, expressed in natural language. This system leveraged Gemini, Google’s large language model. It used the English corpus of published problems and proofs and the like as training data.

The informal system excels at identifying patterns and suggesting what comes next; it is creative and talks about ideas in an understandable way. Of course, large language models are inclined to make things up — which may (or may not) fly for poetry and definitely not for math. But in this context, the L.L.M. seems to have displayed restraint; it wasn’t immune to hallucination, but the frequency was reduced.

Another approach was a formal reasoning system, based on logic and expressed in code. It used theorem prover and proof-assistant software called Lean, which guarantees that if the system says a proof is correct, then it is indeed correct. “We can exactly check that the proof is correct or not,” Dr. Hubert said. “Every step is guaranteed to be logically sound.”

Another crucial component was a reinforcement learning algorithm in the AlphaGo and AlphaZero lineage. This type of A.I. learns by itself and can scale indefinitely, said Dr. Silver, who is Google DeepMind’s vice-president of reinforcement learning. Since the algorithm doesn’t require a human teacher, it can “learn and keep learning and keep learning until ultimately it can solve the hardest problems that humans can solve,” he said. “And then maybe even one day go beyond those.”

Dr. Hubert added, “The system can rediscover knowledge for itself.” That’s what happened with AlphaZero: It started with zero knowledge, Dr. Hubert said, “and by just playing games, and seeing who wins and who loses, it could rediscover all the knowledge of chess. It took us less than a day to rediscover all the knowledge of chess, and about a week to rediscover all the knowledge of Go. So we thought, Let’s apply this to mathematics.”

Dr. Gowers doesn’t worry — too much — about the long-term consequences. “It is possible to imagine a state of affairs where mathematicians are basically left with nothing to do,” he said. “That would be the case if computers became better, and far faster, at everything that mathematicians currently do.”

“There still seems to be quite a long way to go before computers will be able to do research-level mathematics,” he added. “It’s a fairly safe bet that if Google DeepMind can solve at least some hard I.M.O. problems, then a useful research tool can’t be all that far away.”

A really adept tool might make mathematics accessible to more people, speed up the research process, nudge mathematicians outside the box. Eventually it might even pose novel ideas that resonate.