Group items tagged

a reminder to stay informed and vigilant against groupthink.

A common refrain in battles about Covid-19 and vaccination, politics and conspiracy theories, parenting, drugs, food, stock trading and media, it signals not just a rejection of authority but often trust in another kind.

“Do your own research” is an idea central to Joe Rogan’s interview podcast, the most listened to program on Spotify, where external claims of expertise are synonymous with admissions of malice. In its current usage, DYOR is often an appeal to join in, rendered in the language of opting out.

“There’s this idea that the goal of science is consensus,” Professor Carrion said. “The model they brought to it was that we didn’t need consensus.” She noted that the women she surveyed often used singular rather than plural pronouns. “It was ‘she needs to do her own research,” Professor Carrion said, rather than we need to do ours. Unlike some critical health movements in the past, this was an individualist endeavor.

One of the enticing aspects of cryptocurrencies, which pose an alternative to traditional financial institutions, is that expertise is available to anyone who wants to claim it.

In crypto, the uses of DYOR are various and contradictory, earnest and ironic sometimes within the same discussion. Breathless investment pitches for new coins are punctuated with “NFA/DYOR” (not financial advice), or admonitions not to invest more than you can afford to lose, which many people are obviously ignoring; stories about getting rich are prefaced with DYOR; requests for advice about which coins to hold are answered with DYOR. It is the siren song of crypto investing.

In that way — the momentum of a group — crypto investing isn’t altogether distinct from how people have invested in the stock market for decades. Though here it is tinged with a rebellious, anti-authoritarian streak: We’re outsiders, in this together; we’re doing something sort of ridiculous, but also sort of cool.

“Now it seems like DYOR can only do so much,” the user wrote. Eventually, the user said, you end up relying on “trust.”

Red Army memorials are just some of the divisive symbols that persist in Germany long after the political systems and social mores that sustained them have vanished, a reckoning with parallels in the United States and elsewhere.

Officials say their duty to care for such memorials dates to the so-called Good Neighbor agreement between Germany and the Soviet Union in 1990. Under that measure, each nation committed itself to the upkeep of the other’s war graves on its territory.

This propensity for what Ms. Schneidewind calls “historical hoarding” means that many Soviet memorials in East Germany contain Stalin’s name nearly 70 years after the dictator was largely purged from public spaces in Russia itself.

Most of the Red Army monuments in Germany are believed to have been built above the graves of Soviet soldiers or prisoners of war. The Russian Embassy has used the pact to draw the German government’s attention to Soviet monuments, including the one in Lützen, that have been damaged or neglected.

“Instead of tearing them down, you should redefine these memorials,” Mr. Nagel said. “You need to explain why they are here, and why you have a different view of them now.”

In Lützen, local residents say they want to keep their Red Army memorial as it is, a tribute to the central place occupied by the pyramid in the town’s public life during Communist rule. Some remember playing around it while attending the nearby kindergarten, and they say they will fight plans to move it to accommodate a proposed new supermarket.

“This is our history, no matter what is going on in world politics,” said the town’s mayor, Uwe Weiss. “We have to take care of it, because it is part of us.”

The reality is that good comedy can’t be suppressed, particularly these days when gatekeepers have never had less power.

While he’s not especially good at comedy, Musk is a wonderful comic character: The boss who thinks he’s funny but isn’t. He’s Michael Scott from “The Office,” whose terrible jokes everyone must if not laugh at, at least put up with.

One reason Musk might think he’s hilarious is that every joke he makes gets a glowing response from his vast population of followers. Why? Comedy is subjective. But I bet a few just admire him and want his attention. This can be its own form of cringe humor and mocking it can really bring people together.

Musk doesn’t need to own his haters in a tweet. They already work for him for free. It’s entirely possible that we will look back on his tenure at Twitter and conclude that this was his only good joke. Judging by recent moves, he might screw that up, too.

Viewed from the United States, these skirmishes over the unaccountable power of tech platforms seem like a central battleground of free speech. But the real threat in much of the world is not the policies of social media companies, but of governments.

The real question now is if Musk’s commitment to “free speech” extends beyond conservatives in America and to the billions of people in the Global South who rely on the internet for open communication.

ndia’s government had demanded that Twitter block tweets and accounts from a variety of journalists, activists and politicians. The company went to court, arguing that these demands went beyond the law and into censorship. Now Twitter’s potential new owner was casting doubt on whether the company should be defying government demands that muzzle freedom of expression.

The winning side will not be decided in Silicon Valley or Beijing, the two poles around which debate over free expression on the internet have largely orbited. It will be the actions of governments in capitals like Abuja, Jakarta, Ankara, Brasília and New Delhi.

Across the world, countries are putting in place frameworks that on their face seem designed to combat online abuse and misinformation but are largely used to stifle dissent or enable abuse of the enemies of those in power.

other governments are passing laws just to increase their power over speech online and to force companies to be an extension of state surveillance.” For example: requiring companies to house their servers locally rather than abroad, which can make them more vulnerable to government surveillance.

while much of the focus has been on countries like China, which overtly restricts access to huge swaths of the internet, the real war over the future of internet freedom is being waged in what she called “swing states,” big, fragile democracies like India.

it seems that this is actually what he believes. In April, he tweeted: “By ‘free speech’, I simply mean that which matches the law. I am against censorship that goes far beyond the law. If people want less free speech, they will ask government to pass laws to that effect. Therefore, going beyond the law is contrary to the will of the people.”

Musk is either exceptionally naïve or willfully ignorant about the relationship between government power and free speech, especially in fragile democracies.

The combination of a rigid commitment to following national laws and a hands-off approach to content moderation is combustible and highly dangerous.

Independent journalism is increasingly under threat in India. Much of the mainstream press has been neutered by a mix of intimidation and conflicts of interests created by the sprawling conglomerates and powerful families that control much of Indian media

Twitter has historically fought against censorship. Whether that will continue under Musk seems very much a question. The Indian government has reasons to expect friendly treatment: Musk’s company Tesla has been trying to enter the Indian car market for some time, but in May it hit an impasse in negotiations with the government over tariffs and other issues

I believe “Twitter poisoning” is a real thing. It is a side effect that appears when people are acting under an algorithmic system that is designed to engage them to the max. It’s a symptom of being part of a behavior-modification scheme.

The same could be said about any number of other figures, including on the left. Examples are found in the excesses of cancel culture and joyless orthodoxies in fandom, in vain attention competitions and senseless online bullying.

The human brain did not evolve to handle modern chemicals or modern media technology and is vulnerable to addiction. That is true for me and for us all.

Behavioral changes occur as a side effect of something called operant conditioning, which is the underlying mechanism of social media addiction. This is the core mechanism analogous to the role alcohol plays in alcoholism.

In the case of digital platforms, the purpose is usually “engagement,” a concept that is hard to distinguish from addiction. People receive little positive and negative jolts of social feedback — getting followed or liked, or being ignored or even humiliated.

Before social media, that kind of tight feedback loop had rarely been present in human communications outside of laboratories or marriages. (This is part of why marriage can be hard, I suspect.)  

was around when Google and other companies that operate on the personalized advertising model were created, and I can say that at least in the early days, operant conditioning was not part of the plan.

What happened was that the algorithms that optimized the individualized advertising model found their way into it automatically, unintentionally rediscovering methods that had been tested on dogs and pigeons.

There is a childish insecurity, where before there was pride. Instead of being above it all, like traditional strongmen throughout history, the modern social media-poisoned alpha male whines and frets.

What do I think are the symptoms of Twitter poisoning?

o be clear, whiners are much better than Stalins. And yet there have been plenty of more mature and gracious leaders who are better than either

When we were children, we all had to negotiate our way through the jungle of human power relationships at the playground

When we feel those old humiliations, anxieties and sadisms again as adults — over and over, because the algorithm has settled on that pattern as a powerful way to engage us — habit formation restimulates old patterns that had been dormant. We become children again, not in a positive, imaginative sense, but in a pathetic way.

Twitter poisoning makes sufferers feel more oppressed than is reasonable in response to reasonable rules. The scope of fun is constricted to transgressions.

Unfortunately, scale changes everything. Taunts become dangerous hate when amplified. A Twitter-poisoned soul will often complain of a loss of fun when someone succeeds at moderating the spew of hate.

the afflicted lose all sense of proportion about their own powers. They can come to believe they have almost supernatural abilities

The degree of narcissism becomes almost absolute. Everything is about what someone else thinks of you.

These observations should inform our concerns about TikTok. The most devastating way China might use TikTok is not to misdirect our elections or to prefer pro-China posts, but to generally ramp up social media disease, so as to make Americans more divided, less able to talk to one another and less able to put up a coordinated, unified front.

uide society. Whether that idea appeals or not, when technology degrades the minds of those same engineers, then the result can only be dysfunction.

Jaron Lanier is a computer scientist who pioneered research in virtual reality and whose books include “Ten Arguments for Deleting Your Social Media Accounts Right Now.” He is Microsoft’s “prime unifying scientist” but does not speak for the company.

“I continued to be duped by ChatGPT. It’s embarrassing,” Mr. Schwartz said.

As Mr. Schwartz answered the judge’s questions, the reaction in the courtroom, crammed with close to 70 people who included lawyers, law students, law clerks and professors, rippled across the benches. There were gasps, giggles and sighs. Spectators grimaced, darted their eyes around, chewed on pens.

“This case has reverberated throughout the entire legal profession,” said David Lat, a legal commentator. “It is a little bit like looking at a car wreck.”

The episode, which arose in an otherwise obscure lawsuit, has riveted the tech world, where there has been a growing debate about the dangers — even an existential threat to humanity — posed by artificial intelligence. It has also transfixed lawyers and judges.

Avianca asked Judge Castel to dismiss the lawsuit because the statute of limitations had expired. Mr. Mata’s lawyers responded with a 10-page brief citing more than half a dozen court decisions, with names like Martinez v. Delta Air Lines, Zicherman v. Korean Air Lines and Varghese v. China Southern Airlines, in support of their argument that the suit should be allowed to proceed.After Avianca’s lawyers could not locate the cases, Judge Castel ordered Mr. Mata’s lawyers to provide copies. They submitted a compendium of decisions.It turned out the cases were not real.

Mr. Schwartz, who has practiced law in New York for 30 years, said in a declaration filed with the judge this week that he had learned about ChatGPT from his college-aged children and from articles, but that he had never used it professionally.He told Judge Castel on Thursday that he had believed ChatGPT had greater reach than standard databases.“I heard about this new site, which I falsely assumed was, like, a super search engine,” Mr. Schwartz said.

Irina Raicu, who directs the internet ethics program at Santa Clara University, said this week that the Avianca case clearly showed what critics of such models have been saying, “which is that the vast majority of people who are playing with them and using them don’t really understand what they are and how they work, and in particular what their limitations are.”

“This case has changed the urgency of it,” Professor Roiphe said. “There’s a sense that this is not something that we can mull over in an academic way. It’s something that has affected us right now and has to be addressed.”

In the declaration Mr. Schwartz filed this week, he described how he had posed questions to ChatGPT, and each time it seemed to help with genuine case citations. He attached a printout of his colloquy with the bot, which shows it tossing out words like “sure” and “certainly!”After one response, ChatGPT said cheerily, “I hope that helps!”

Why some people can shake off the impulse to eat, and other people stay mired in thoughts about food, is “the million-dollar question,”

There’s another theoretical framework for why Ozempic might quash food noise: Semaglutide activates receptors for a hormone called GLP-1. Studies in animals have shown those receptors are found in cells in regions of the brain that are particularly important for motivation and reward, pointing to one potential way semaglutide could influence cravings and desires.

Ms. Klemmer said she worried about the potential long-term side effects of a medication she might be on for the rest of her life. But she thinks the trade-off — the end of food noise — is worth it. “It’s worth every bad side effect that I’d have to go through to have what I feel now,” she said: “not caring about food.”

Industry leaders believe the new A.I. systems could be as important as the introduction of the web browser in the early 1990s and could lead to breakthroughs in areas ranging from drug research to education.

But gnawing at many industry insiders is a fear that they are releasing something dangerous into the wild. Generative A.I. can already be a tool for misinformation. Soon, it could be a risk to jobs. Somewhere down the line, tech’s biggest worriers say, it could be a risk to humanity.

“It is hard to see how you can prevent the bad actors from using it for bad things,” Dr. Hinton said.

After the San Francisco start-up OpenAI released a new version of ChatGPT in March, more than 1,000 technology leaders and researchers signed an open letter calling for a six-month moratorium on the development of new systems because A.I technologies pose “profound risks to society and humanity.

Several days later, 19 current and former leaders of the Association for the Advancement of Artificial Intelligence, a 40-year-old academic society, released their own letter warning of the risks of A.I. That group included Eric Horvitz, chief scientific officer at Microsoft, which has deployed OpenAI’s technology across a wide range of products, including its Bing search engine.

Dr. Hinton, often called “the Godfather of A.I.,” did not sign either of those letters and said he did not want to publicly criticize Google or other companies until he had quit his job

Dr. Hinton, a 75-year-old British expatriate, is a lifelong academic whose career was driven by his personal convictions about the development and use of A.I. In 1972, as a graduate student at the University of Edinburgh, Dr. Hinton embraced an idea called a neural network. A neural network is a mathematical system that learns skills by analyzing data. At the time, few researchers believed in the idea. But it became his life’s work.

Dr. Hinton is deeply opposed to the use of artificial intelligence on the battlefield — what he calls “robot soldiers.”

Around the same time, Google, OpenAI and other companies began building neural networks that learned from huge amounts of digital text. Dr. Hinton thought it was a powerful way for machines to understand and generate language, but it was inferior to the way humans handled language.

In 2018, Dr. Hinton and two other longtime collaborators received the Turing Award, often called “the Nobel Prize of computing,” for their work on neural networks.

In 2012, Dr. Hinton and two of his students in Toronto, Ilya Sutskever and Alex Krishevsky, built a neural network that could analyze thousands of photos and teach itself to identify common objects, such as flowers, dogs and cars.

Then, last year, as Google and OpenAI built systems using much larger amounts of data, his view changed. He still believed the systems were inferior to the human brain in some ways but he thought they were eclipsing human intelligence in others.

“Maybe what is going on in these systems,” he said, “is actually a lot better than what is going on in the brain.”

As companies improve their A.I. systems, he believes, they become increasingly dangerous. “Look at how it was five years ago and how it is now,” he said of A.I. technology. “Take the difference and propagate it forwards. That’s scary.”

Until last year, he said, Google acted as a “proper steward” for the technology, careful not to release something that might cause harm. But now that Microsoft has augmented its Bing search engine with a chatbot — challenging Google’s core business — Google is racing to deploy the same kind of technology. The tech giants are locked in a competition that might be impossible to stop, Dr. Hinton said.

His immediate concern is that the internet will be flooded with false photos, videos and text, and the average person will “not be able to know what is true anymore.”

He is also worried that A.I. technologies will in time upend the job market. Today, chatbots like ChatGPT tend to complement human workers, but they could replace paralegals, personal assistants, translators and others who handle rote tasks. “It takes away the drudge work,” he said. “It might take away more than that.”

Down the road, he is worried that future versions of the technology pose a threat to humanity because they often learn unexpected behavior from the vast amounts of data they analyze. This becomes an issue, he said, as individuals and companies allow A.I. systems not only to generate their own computer code but actually run that code on their ow

And he fears a day when truly autonomous weapons — those killer robots — become reality.

“The idea that this stuff could actually get smarter than people — a few people believed that,” he said. “But most people thought it was way off. And I thought it was way off. I thought it was 30 to 50 years or even longer away. Obviously, I no longer think that.”

Many other experts, including many of his students and colleagues, say this threat is hypothetical. But Dr. Hinton believes that the race between Google and Microsoft and others will escalate into a global race that will not stop without some sort of global regulation.

But that may be impossible, he said. Unlike with nuclear weapons, he said, there is no way of knowing whether companies or countries are working on the technology in secret. The best hope is for the world’s leading scientists to collaborate on ways of controlling the technology. “I don’t think they should scale this up more until they have understood whether they can control it,” he said.

Dr. Hinton said that when people used to ask him how he could work on technology that was potentially dangerous, he would paraphrase Robert Oppenheimer, who led the U.S. effort to build the atomic bomb: “When you see something that is technically sweet, you go ahead and do it.”

He does not say that anymore.

a failure to seriously consider the implications of an invention as it becomes entrenched in society; a deep trust in networks, in the idea that allowing people to more freely associate would redound mainly to the good of society; and too much affection for the culture of Silicon Valley and the idea that the people who created a certain thing must have some clue about what to do with it.

I didn’t consider the far-reaching implications of Facebook’s ubiquity.

Social networks, I observed, got better as more people used them; it seemed reasonable that at some point one social network would gain widespread acceptance and become a comprehensive directory for connecting everyone.

As an immigrant, I’d also bought into the world-shrinking implications of such a network.

I got carried away by the excitement of new tech.

What I’d failed to consider was how all these various new things would interact with one another, especially as more people got online.

in calling for everyone to get on Facebook, I should have made a better stab at guessing what could go wrong if we all did. What would be the implications for privacy if we were all using Facebook on our phones — how much could this one service glean about you by being in your pocket all the time?

What would the implications for speech and media be if this single company became a central clearinghouse in the global discourse?

I trusted techies.

This was the vibe pervading media and politics in the late 2000s: Wall Street had ruined the world. Silicon Valley could put it right.

It does not seem in any way good for society — for the economy, for politics, for a basic sense of equality — that a handful of hundred-billion-dollar or even trillion-dollar companies should control such large swathes of the internet.

Obama’s regulators allowed Facebook to buy up its biggest competitors — first Instagram, then WhatsApp — and failed to crack down on its recklessness with users’ private data

The answer is the 1 percent, obviously (or those willing to incur credit card debt). Luca Solca, an analyst for Bernstein, estimates that the top 5 percent of luxury clients now account for more than 40 percent of sales for most luxury goods brands

As wealth inequality increases globally, luxury brands are doubling down on an ever smaller slice of their clientele

VF There’s a sort of warring imperative here between people who see it as a badge of honor not to buy full price and those who belong to the very tiny club that can. Economics are involved, but as much as anything, it’s also psychology.

VF Which brings me back to Phoebe Philo’s current scarcity model: We don’t even know how much of any piece they produced (the company wouldn’t say) but the message is the market will bear the prices, since the products are sold out. We think because it is more expensive, it has more value.

GT This is the stuff for which Daniel Kahneman won the Nobel. Subjects shown two identical cashmere sweaters, one at a far higher price, inevitably chose the more costly of the two. His point was that we don’t think. We act irrationally.

EP Speaking of dollars, a quarter of a trillion them have been wiped off the value of Europe’s seven biggest luxury businesses since April, and sales are generally down across most fashion groups. That is the aspirational middle class stepping away from the credit card machine.

Also, emotional labeling: ‘You sound like you were hurt by that.’ ‘You sound like it must have been really annoying.’

“Say you’re sorry when you’re not sorry,” she said. “Let bygones be bygones.

instead of trying to bargain with the grandfather or acknowledge his presenting emotion by telling him he’s being impatient, you should address the underlying emotion

the unsolicited apology. “There’ve been times,” he said, “with people I was close with, when I didn’t think I was wrong, but I said, ‘You know, I realize I’ve been a jerk this entire time.’ Well over half the time, people are going to respond positively to that. They’re going to make a reciprocating sort of confession. Then you’re started on the right track.”

Little verbal encouragements: ‘Unh-huh,’ ‘Mm-hmm.’ A nod of the head to let them know you’re there.”

“You have to find creative ways to say, ‘I really appreciate your point of view, and it’s great to have an opportunity to hear how strongly you feel about that, but my own view is different.’ Try to find ways to acknowledge what they’re saying without agreeing or disagreeing with it.”

Tone is king here: subtle vocal inflections can impart either “I disagree, let’s move on,” or “I disagree, let’s turn this into ‘The Jerry Springer Show.’ 

maybe you just say: ‘I’m still searching. I’m not in the same place where you are about what you believe.’ ”

“Instead of lying, we call it minimizing. You try to get people to think that a situation isn’t so bad, you break it down for them so they see that it isn’t the end of the world, that maybe they don’t need to make such a big deal of it. We try to reframe things rather than flat-out lie.”

The aim of an argument should not be proving who is right, but conveying that you care about the issues,

Show the person with whom you are speaking that you care about what he or she says.

The goal should be to state your views and to hear theirs. It should not be: “I am not leaving until you admit that you are wrong, or here is what I believe, and I am not budging from this,”

And when you listen, go all in

“Don’t half-listen while figuring out what you’re going to say next,”

Don’t ‘drop the anchor’

Some people start an argument by staking their position and refusing to budge, an impulse that Dr. Cuddy called “dropping the anchor.”Instead, try to understand the other person’s point of view; it does not mean you have to agree with him or her, or that you are abandoning deeply felt objections to, for example, racism or sexism, she said.

Mind your body languageYour body language can send messages that are more compelling than the words coming out of your mouth.Try to avoid gestures that are patronizing or defensive, like crossing your arms or clenching your jaw.

Maintain eye contact in a way that is not a stare-down.Lean forward slightly to show you are interested.And no eye-rolling,

Don’t argue to winDr. Gutting says it helps to use neutral or charitable language when acknowledging opposing viewpoints, especially during arguments over politics. It lays the groundwork for a more effective argument on points of genuine weakness.

Don’t think of an argument as an opportunity to convince the other person of your view; think of it as a way to test and improve your opinions, and to gain a better understanding of the other side.

“People do give up views because of rational arguments against them,” Dr. Gutting said in the interview. “But this is almost always a long process, not the outcome of a single decisive encounter.”

Know the factsA good argument is supported by evidence, but that is just a starting point. Sometimes, especially with political back-and-forths, one side will look only at evidence supporting its own position, conveniently leaving out the full picture,

Speak and listen fearlessly

“So for me, the condition for a conversation has to be that you are unafraid to speak courageously, and you are unafraid to tell your partner exactly what it is that you think about the world.”But a two-way argument also requires fearless listening, “even if it is me talking to a white supremacist who is trying to tell me that I am inferior,” he added. “One of the conditions for the possibility of a fruitful argument is to allow for some kind of opening up in myself to hear.”

“What you need to be able to do is to speak the same language,” he said. “They believe in God, and you would say: ‘You and I believe the same thing. How is it that this God who loves you can’t possibly love me?’ Is it possible that we can agree to disagree on some issues?”

Observations of predator behavior further piqued his interest. While filming and playing back his videos, he noted how cats stack their bodies behind their faces when they’re hunting. He interprets this, he said, as cats “trying to hide their heat” with their cold noses. He has also observed barn owls twisting as they swoop down, perhaps to shield their warmer parts — legs and wingpits — with cooler ones.

Maybe, he thought, “predators have to conceal their infrared to be able to catch a mouse.”

Eventually, these and other musings led Dr. Baker to place mouse hairs under a microscope. As it came into view, he felt a strong sense of familiarity. The guard hair in particular — the bristliest type of mouse hair — contained evenly-spaced bands of pigment that, to Dr. Baker, closely resembled structures that allow optical sensors to tune into specific wavelengths of light.

Thermal cameras, for instance, focus specifically on 10-micron radiation: the slice of the spectrum that most closely corresponds with heat released by living things. By measuring the stripes, Dr. Baker found they were tuned to 10 microns as well — apparently homed in on life’s most common heat signature. “That was my Eureka moment,” he said.

“It just came down to not having enough money,” said Terence Trouillot, a senior editor at Frieze, a contemporary art magazine . He spent nearly three years on the AICA-USA board, resigning in 2022. He said that initiatives to re-energize the group “were just moving too slowly.”

According to Lilly Wei, a longtime AICA-USA board member who recently resigned, the group explored different ways of protecting writers in the industry. There were unrealized plans of turning the organization into a union; others hoped to create a permanent emergency fund to keep financially struggling critics afloat. She said the organization has instead canceled initiatives, including an awards program for the best exhibitions across the country.

Large galleries — including Gagosian, Hauser & Wirth, and Pace Gallery — now produce their own publications with interviews and articles sometimes written by the same freelance critics who simultaneously moonlight as curators and marketers. Within its membership, AICA-USA has a number of writers who belong to all three categories.

“It’s crazy that the ideal job nowadays is producing catalog essays for galleries, which are basically just sales pitches,” Dillon said in a phone interview. “Critical thinking about art is not valued financially.”

Noah Dillon, who was on the AICA-USA board until he resigned last year, has been reluctant to recommend that anyone follow his path to become a critic. Not that they could. The graduate program in art writing that he attended at the School of Visual Arts in Manhattan also closed during the pandemic.

David Velasco, editor in chief of Artforum, said in an interview that he hoped the magazine’s acquisition would improve the publication’s financial picture. The magazine runs nearly 700 reviews a year, Velasco said; about half of those run online and pay $50 for roughly 250 words. “Nobody I know who knows about art does it for the money,” Velasco said, “but I would love to arrive at a point where people could.”

While most editors recognize the importance of criticism in helping readers decipher contemporary art, and the multibillion-dollar industry it has created, venues for such writing are shrinking. Over the years, newspapers including The Philadelphia Inquirer and The Miami Herald have trimmed critics’ jobs.

In December, the Penske Media Corporation announced that it had acquired Artforum, a contemporary art journal, and was bringing the title under the same ownership as its two competitors, ARTnews and Art in America. Its sister publication, Bookforum, was not acquired and ceased operations. Through the pandemic, other outlets have shuttered, including popular blogs run by SFMOMA and the Walker Art Center in Minneapolis as well as smaller magazines called Astra and Elephant.

The need for change in museums was pointed out in the 2022 Burns Halperin Report, published by Artnet News in December, that analyzed more than a decade of data from over 30 cultural institutions. It found that just 11 percent of acquisitions at U.S. museums were by female artists and only 2.2 percent were by Black American artists

(National newspapers with art critics on staff include The New York Times, The Los Angeles Times, The Boston Globe and The Washington Post. )

Julia Halperin, one of the study’s organizers, who recently left her position as Artnet’s executive editor, said that the industry has an asymmetric approach to diversity. “The pool of artists is diversifying somewhat, but the pool of staff critics has not,” she said.

the matter of diversity in criticism is compounded by the fact that opportunities for all critics have been diminished.

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.”