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Taking up arms and breaking the rules weren’t just about experiencing the fun of the season. Fighting against the prohibition of Christmas was a political act. Things had changed and the Christmas rebellion was as much a protest against the “new normal” as it was against the banning of fun. People were fed up with a range of restrictions and financial difficulties that came with the Presbyterian system and the fallout of the civil war.

The aftermath of the Norwich Christmas riots was the most dramatic. The mayor was summoned to London in April 1648 to explain his failure to prohibit the Christmas parties, but a crowd closed the city gates to prevent him from being taken away. Armed forces were again deployed, and in the ensuing riots, the city ammunition magazine exploded, killing at least 40 people.

This Christmas, police across the country are ready to enforce COVID regulations and break up gatherings. While the pandemic does make things different, with rule breaking a matter of safety as much as anything else, politicians could learn from the fallout of the last time Christmas was cancelled.

Like in 1647, many people today are fed up with the government’s restrictions. Many have also suffered financial difficulties as a result of the COVID regulations. Some may rail against the idea of ending a miserable year under what they may regard as contradictory restrictions on family fun.

In the end, 2020 saw a 76% decline in visitors and an 80% drop.

"A lot of our multi-country trips including England used to fly round-trip to London, and now we're looking to see if from a traveler's perspective that will be the most convenient."

DaSilva said that potential Brexit complications were on the radar of travelers' concerns last year, but, with a no-deal averted and the pandemic taking center stage, it's no longer an issue for her guests. In fact, three of the top five most searched trips on their website involve Great Britain.

"Early on in the pandemic, people were searching for places that had more open green spaces, like New Zealand and Ireland," she says. "But as news of the vaccine came out and people became more confident about trips for this year, England popped back up to the top."

And there's one big bonus for those traveling to the UK this year --- the tanking pound.

The UK made a great play that it was an international and welcoming destination over the 2012 Olympics, but that message was withdrawn with Brexit. The posturing of the government -- especially the threat to put gunboats in the Channel -- didn't play well with a lot of origin markets," he says.

"There may be differences with the import of goods and transmission of services that means London isn't as prosperous as it was."

"Suddenly, using the UK as gateway to Europe becomes enormously less attractive. Travelers will have to think about whether it's sensible to come to the UK as part of a European destination. They may wish to look at the UK as a single destination, but that isn't nearly as attractive as the UK being part of a European vacation."

"The UK won't be ignored, but it's unlikely to recover as strongly as Europe.

About 20% of the Intercontinental's staff left the UK before Brexit, says Ouseph; but while in normal times that would be a crisis, he thinks that Covid-induced job losses will mean hotels can fill these positions for now -- at least, the customer-facing ones. Instead, it's the less visible, but crucial roles, where they'll struggle.

Not everyone thinks Brexit will make a big difference to the inbound UK travel industry.

Maine -- who hasn't run tours since October -- says that he thinks the vaccine "will get us out of it -- it's a matter of when, not if." And he predicts that "when" could be as early as Easter.

"Rolling out the vaccine is the acid test of being a coherent holiday destination, and the UK looks like it's doing a reasonably good job in comparison to everyone else."

History: from 18.5 percent to 10.7 percent

But the deeper explanation resides not in something that has happened to it, but in what it has done to itself. English has become less and less coherent as a discipline and, worse, has come near exhaustion as a scholarly pursuit.

The twin focus, then, was on the philological nature of the enterprise and the canon of great works to be studied in their historical evolution.

Studying English taught us how to write and think better, and to make articulate many of the inchoate impulses and confusions of our post-adolescent minds. We began to see, as we had not before, how such books could shape and refine our thinking. We began to understand why generations of people coming before us had kept them in libraries and bookstores and in classes such as ours. There was, we got to know, a tradition, a historical culture, that had been assembled around these books. Shakespeare had indeed made a difference—to people before us, now to us, and forever to the language of English-speaking people.

today there are stunning changes in the student population: there are more and more gifted and enterprising students coming from immigrant backgrounds, students with only slender connections to Western culture and to the assumption that the “great books” of England and the United States should enjoy a fixed centrality in the world. What was once the heart of the matter now seems provincial. Why throw yourself into a study of something not emblematic of the world but representative of a special national interest? As the campus reflects the cultural, racial, and religious complexities of the world around it, reading British and American literature looks more and more marginal. From a global perspective, the books look smaller.

With the cost of a college degree surging upward during the last quarter century—tuition itself increasing far beyond any measure of inflation—and with consequent growth in loan debt after graduation, parents have become anxious about the relative earning power of a humanities degree. Their college-age children doubtless share such anxiety. When college costs were lower, anxiety could be kept at bay. (Berkeley in the early ’60s cost me about $100 a year, about $700 in today’s dollars.)

Economists, chemists, biologists, psychologists, computer scientists, and almost everyone in the medical sciences win sponsored research, grants, and federal dollars. By and large, humanists don’t, and so they find themselves as direct employees of the institution, consuming money in salaries, pensions, and operating needs—not external money but institutional money.

These, then, are some of the external causes of the decline of English: the rise of public education; the relative youth and instability (despite its apparent mature solidity) of English as a discipline; the impact of money; and the pressures upon departments within the modern university to attract financial resources rather than simply use them up.

several of my colleagues around the country have called for a return to the aesthetic wellsprings of literature, the rock-solid fact, often neglected, that it can indeed amuse, delight, and educate. They urge the teaching of English, or French, or Russian literature, and the like, in terms of the intrinsic value of the works themselves, in all their range and multiplicity, as well-crafted and appealing artifacts of human wisdom. Second, we should redefine our own standards for granting tenure, placing more emphasis on the classroom and less on published research, and we should prepare to contest our decisions with administrators whose science-based model is not an appropriate means of evaluation.

“It may be that what has happened to the profession is not the consequence of social or philosophical changes, but simply the consequence of a tank now empty.” His homely metaphor pointed to the absence of genuinely new frontiers of knowledge and understanding for English professors to explore.

In this country and in England, the study of English literature began in the latter part of the 19th century as an exercise in the scientific pursuit of philological research, and those who taught it subscribed to the notion that literature was best understood as a product of language.

no one has come forward in years to assert that the study of English (or comparative literature or similar undertakings in other languages) is coherent, does have self-limiting boundaries, and can be described as this but not that.

to teach English today is to do, intellectually, what one pleases. No sense of duty remains toward works of English or American literature; amateur sociology or anthropology or philosophy or comic books or studies of trauma among soldiers or survivors of the Holocaust will do. You need not even believe that works of literature have intelligible meaning; you can announce that they bear no relationship at all to the world beyond the text.

With everything on the table, and with foundational principles abandoned, everyone is free, in the classroom or in prose, to exercise intellectual laissez-faire in the largest possible way—I won’t interfere with what you do and am happy to see that you will return the favor

Consider the English department at Harvard University. It has now agreed to remove its survey of English literature for undergraduates, replacing it and much else with four new “affinity groups”

there would be no one book, or family of books, that every English major at Harvard would have read by the time he or she graduates. The direction to which Harvard would lead its students in this “clean slate” or “trickle down” experiment is to suspend literary history, thrusting into the hands of undergraduates the job of cobbling together intellectual coherence for themselves

Those who once strove to give order to the curriculum will have learned, from Harvard, that terms like core knowledge and foundational experience only trigger acrimony, turf protection, and faculty mutinies. No one has the stomach anymore to refight the Western culture wars. Let the students find their own way to knowledge.

In English, the average number of years spent earning a doctoral degree is almost 11. After passing that milestone, only half of new Ph.D.’s find teaching jobs, the number of new positions having declined over the last year by more than 20 percent; many of those jobs are part-time or come with no possibility of tenure. News like that, moving through student networks, can be matched against, at least until recently, the reputed earning power of recent graduates of business schools, law schools, and medical schools. The comparison is akin to what young people growing up in Rust Belt cities are forced to see: the work isn’t here anymore; our technology is obsolete.

unlike other members of the university community, they might well have been plying their trade without proper credentials: “Whereas economists or physicists, geologists or climatologists, physicians or lawyers must master a body of knowledge before they can even think of being licensed to practice,” she said, “we literary scholars, it is tacitly assumed, have no definable expertise.”

English departments need not refight the Western culture wars. But they need to fight their own book wars. They must agree on which texts to teach and argue out the choices and the principles of making them if they are to claim the respect due a department of study.

They can teach their students to write well, to use rhetoric. They should place their courses in composition and rhetoric at the forefront of their activities. They should announce that the teaching of composition is a skill their instructors have mastered and that students majoring in English will be certified, upon graduation, as possessing rigorously tested competence in prose expression.

The study of literature will then take on the profile now held, with moderate dignity, by the study of the classics, Greek and Latin.

But we can, we must, do better. At stake are the books themselves and what they can mean to the young. Yes, it is just a literary tradition. That’s all. But without such traditions, civil societies have no compass to guide them.

We have dozens of new pronouns in colleges (for all those genders that have suddenly sprung into existence), and biological males competing in all-female high-school athletic teams (guess who wins at track).

Worse, we have constant admonitions against those who actually conform, as most human beings always have, to the general gender rule.

We have gone from rightly defending the minority to wrongly problematizing the majority. It should surprise no one that, at some point, the majority will find all of this, as Josh Barro recently explained, “annoying.”

I say this as someone happily in the minority — and who believes strongly in the right to subvert or adapt traditional gender roles.

But you can’t subvert something that you simultaneously argue doesn’t exist.

the core contradiction of ideological transgenderism. By severing the link between sex and gender completely, it abolishes the core natural framework without which the transgender experience makes no sense at all.

It’s also a subtle, if unintentional, attack on homosexuality. Most homosexuals are strongly attached to their own gender and attracted to traditional, natural expressions of it. That’s what makes us gay, for heaven’s sake. And that’s one reason the entire notion of a common “LGBT” identity is so misleading. How can a single identity comprise both the abolition of gender and at the same time its celebration?

Exceptions, in other words, need a rule to exist. Abolish gender’s roots in biology and sex — and you abolish gay people and transgender people as well.

Yes, there’s a range of gender expression among those of the same sex. But it’s still tethered among most to the forces of chromosomes and hormones that make us irreducibly male and female. Nature can be interpreted; it can even be played with; but it cannot be abolished. After all, how can you be “queer” if there is no such thing as “normal”?

Transgender people exist and should be treated with absolutely the same human respect, decency, and civil equality as anyone else. But they don’t disprove traditional notions of gender as such — which have existed in all times, places, and cultures in human history and prehistory, and are rooted deeply in evolutionary biology and reproductive strategy.

Intersex people exist and, in my view, should not be genitally altered or “fixed” without their adult consent. But they do not somehow negate the overwhelming majority who have no such gender or sexual ambiguity.

the entire society does not need to be overhauled in order to make gay or trans experience central to it. Inclusion, yes. Revolution, no.

The added problem with this war on nature is the backlash it inevitably incurs. There’s a reason so many working-class men find it hard to vote for Democrats any more. And there’s a reason why a majority of white women last year voted for a man who boasted of sexual assault if the alternative was a triumph for contemporary left-feminism.

You can’t assault the core identity of most people’s lives and then expect them to vote for you. As a Trump supporter in Colorado just told a reporter from The New Yorker: “I’ve never been this emotionally invested in a political leader in my life. The more they hate him, the more I want him to succeed. Because what they hate about him is what they hate about me.”

One of the features you most associate with creeping authoritarianism is the criminalization of certain political positions. Is anything more anathema to a liberal democracy? If Trump were to suggest it, can you imagine the reaction?

And yet it’s apparently fine with a hefty plurality of the Senate and House. I’m referring to the remarkable bill introduced into the Congress earlier this year — with 237 sponsors and co-sponsors in the House and 43 in the Senate — which the ACLU and the Intercept have just brought to light. It’s a remarkably bipartisan effort, backed by Chuck Schumer and Ted Cruz, among many solid Trump-resisting Democrats and hard-line Republicans.

it would actually impose civil and criminal penalties on American citizens for backing or joining any international boycott of Israel because of its settlement activities. There are even penalties for simply inquiring about such a boycott. And they’re not messing around. The minimum civil penalty would be $250,000 and the maximum criminal penalty $1 million and 20 years in prison. Up to 20 years in prison for opposing the policies of a foreign government and doing something about it!

I’m not in favor of boycotting Israel when we don’t boycott, say, Saudi Arabia. But seriously: making it illegal?

Every now and again, you just have to sit back and admire the extraordinary skills of the Greater Israel lobby. You’ve never heard of this bill, and I hadn’t either. But that is partly the point. AIPAC doesn’t want the attention — writers who notice this attempted assault on a free society will be tarred as anti-Semites (go ahead, it wouldn’t be the first time) and politicians who resist it will see their careers suddenly stalled.

pointing out this special interest’s distortion of democracy is not the equivalent of bigotry. It’s simply a defense of our democratic way of life.

Quite apart from the “unbalanced power” of the financial sector, and the tendency of a super-sized financial sector to cause increasingly bad global financial crashes, excessive financialization leads to resources being misallocated. “In many of the financial sector’s segments that have grown fastest since deregulation—like investment banks—the transactions are primarily zero-sum.”

However in times of rapid technological transformation like today, the role of the economic priesthood in protecting its own interests can become a massively destabilizing.

Thus we know from the history of the last couple of hundred years that in times of rapid technological transformation, the financial sector tends to become disconnected from the real economy

This has occurred a number of times in the last few hundred years, including the Canal Mania (England—1790s), the Rail Mania (England—1840s), the Gilded Age (US: 1880s—early 1900s) the Roaring Twenties (US—1920s) and the Big Banks of today.

Getting to safety is not made any easier by the fact the modern economic priesthood—the managers of large firms and the banks—has, like their ancient Egyptian forbears, found ways to participate in the casino economy and benefit from “making money out of money”, even as the economy as a whole suffers.  As Upton Sinclair wrote, “It is difficult to get a man to understand something, when his salary depends upon his not understanding it.

Just as the ancient Egyptian economic priesthood clung to power as the economy stagnated, so today the economic priesthood shows no signs of relinquishing their gains or their power. The appetite and expectation of extraordinary returns is still there.

“Corporate chieftains rationally choose financial engineering—debt-financed share buybacks, for example—over capital investment in property, plants and equipment. Financial markets reward shareholder activism. Institutional investors extend their risk parameters to beat their benchmarks… But real economic growth—averaging just a bit above 2 percent for the fifth year in a row—remains sorely lacking.”

As a result, the economy remains in the “Great Stagnation”(Tyler Cowen), also known as “the Secular Stagnation (Larry Summers). It is running on continuing life support from the Federal Reserve. Large enterprises still appear to be profitable. The appearance, though not the reality, of economic well-being has been sufficient to make the stock market soa

Just as no change was possible in ancient Egyptian society so long as the economic priesthood colluded to preserve the status quo, so the excesses and prevarications of the Financial Sector will continue so long as the regulators remain its cheerleaders.

Just listen to the chair of the Securities and Exchange Commission (SEC), Mary Jo White at Stanford University Rock Center for Corporate Governance speaking to directors. In her speech, she makes no secret of her view that the overall corporate arrangements are sound. The job of the SEC, as outlined in the speech, is to find the odd individual who might be doing something wrong. The idea that the large-scale activities of the major banks might be socially corrosive is not even alluded.

Thus in times of transformational technology, there is a huge expansion of investment, driven by the financial sector. Wealthy investors begin to expect outsized returns and so there is over-investment. The resulting bubbles in due course burst

Just as in ancient Egypt, no progress was possible so long as the myths and rituals of the economic priesthood and their offerings to the gods were widely accepted as real indicators of what was going on, so today no progress is possible so long as the myths and rituals of the modern economic priesthood still has a pervasive hold of people’s minds

In the modern economy, the myths and rituals of the economic priesthood are built on the notion that the purpose of a firm is to maximize shareholder value and the notion that if the share price is increasing, things are going well. These ideas are the intellectual underpinnings of the zero-sum activities of the financial sector for “making money out of money”, by whatever means possible

Like the myths and rituals of the priests of ancient Egypt, shareholder value theory is espoused with religious overtones. Shareholder value, which even Jack Welch has called “the dumbest idea in the world,” remains pervasive in business, even though it is responsible for massive offshoring of manufacturing, thereby destroying major segments of the US economy, undermining US capacity to compete in international markets and killing the economic recovery.

If instead society decides that the financial sector should concentrate on its socially important function of financing the real economy and providing financial security for an ever wider circle of citizens and enterprises, we could enjoy an era of growth and lasting prosperity.

there are over six times as many people in the US who claim to be Irish in the US as those living in the Republic of Ireland itself.

If measured by when their last ancestor left Ireland, Joe Biden is no more Irish than Barack Obama

Perhaps the most dramatic example of this was shown by Jimmy Carter, who – on St Patrick’s Day 1976 – marched down Fifth Avenue in New York wearing a badge emblazoned with the slogan “England, get out of Ireland”.

With Donald Trump being the exception, nearly every president of the last half-century has identified as “Irish”, even when the evidence of such a link has been tenuous.

In spite of this, US presidential administrations have sought a more balanced approach. The US considers the UK to be one of its most valuable and important strategic partners. US presidents work closely with British governments, while also offering symbolic affirmation for Ireland.

While Biden’s personal affinities are clear, we should expect him to follow his predecessors in placing US security interests before Irish nationalist affections.

The UK is not alone. Many other nations were slow to respond to the threat at care home facilities, and the consequences have been devastating.

Comparing death tolls can be difficult: some countries have separate data covering elderly care homes, while others include facilities for those with disabilities. Some countries do not include in their data those residents who die in hospitals, some have regional variation​, and some have no data at all.

There had been 1,661 coronavirus deaths among care home residents out of 3,395 total coronavirus deaths in Sweden by May 14, or 49%, according to LTCcovid's report.

19 residents out of 110 had died in the past two months, but only five were confirmed Covid-19 deaths -- the rest were "undetermined," he said. He said he thought there had been "slight under-reporting" of deaths in the UK because of a lack of testing, and said the situation had been "harrowing."

Raffaele Antonelli Incalzi, head of the Italian geriatric society SIGG, said in a statement in early April that care homes were "biological time bombs," in part because overcrowded hospitals were moving elderly patients to unprepared homes.

Elderly care sector professionals and care home workers published a letter to Health Minister Olivier Véran on March 20 expressing alarm and requesting 500,000 masks per week in affected areas, to which he agreed.

By March 24, the Spanish army was drafted in to help and found "abandoned" ​care home residents dead in their beds, according to Defense Minister Margarita Robles. The government said at its briefing the next day that the information had been passed to the public prosecutor, who was investigating. New care home guidelines called for extended isolation measures, but some homes said they would now have to send all staff home to comply.

She said the DHSC was prioritizing testing in care homes and had provided £3.2 billion ($3.9 billion) to local authorities to ease pressure on services including care homes, as well as an additional £600 million ($730 million) for homes last week. "Since the start of this pandemic we have worked to ensure our care homes and frontline care workforce get the support they need. Almost two thirds of care homes have not had an outbreak and deaths in all settings, including care homes, are falling."

A similar story played out in France, where coronavirus fatalities among care home residents in all settings make up more than half of all coronavirus deaths recorded as of May 18, according to health ministry data used in the LTCcovid report.

The UK initially did not record care home deaths. While the latest official ONS data for England and Wales shows that 38% of coronavirus deaths occurred in care homes, LTCcovid said the figure could be far higher.

LTCcovid's report found that 3,890 of Canada's 4,740 coronavirus-linked deaths took place among care home residents as of May 8, or 82%, and Health Canada told CNN the percentage was nearly 80% on May 19. Canada's largest province, Ontario, has announced an independent inquiry.

Of the 247 total Covid-19 deaths in South Korea that had been confirmed as of April 30, 84 were care home residents -- a share of 34%. No large care home outbreaks have occurred since the measures were implemented.

There were no priests in Peter’s time, and no popes. Paul never called himself or any of his co-workers priests. He did not offer sacrifice. Those ideas came in later, through weird arguments contained in the anonymous Epistle to the Hebrews. The claim of priests and popes to be the sole conduits of grace is a remnant of the era of papal monarchy. We are watching that era fade.

A horizontal pattern of raised lines going across the pavement tells blind pedestrians they are on the footpath side; raised lines running along the direction of travel indicate the side designated for cycles. A wide, raised line divides the two.

Because the raised bumps are unpleasant to ride across, cyclists instinctively are drawn toward the tramline pattern which runs in the same direction as they are traveling.

Elsewhere, it is possible to find raised, rounded ribs running across pavement, creating a corduroy pattern. They look like they might be there to provide additional grip; in fact, they are sending a warning to anyone who stands on them about what is ahead.

The idea is to guide people through busy areas and around objects by drawing them along these raised lines.

They found that uncertainty about the layout of the road ahead is a powerful way of getting drivers to slow down.

triangles painted along the edge of each road – create an impression of a narrower road for example, and make drivers more cautious.

They have been painting boxes onto the road that use a clever combination of white and dark paint to create the illusion of a speed hump.

In India, they have taken things even further by painting deliberate optical illusions to give the impression that obstacles are in the road ahead.

What the rise of the BRICs symbolizes to both panicked individuals in the West and optimistic ones elsewhere is a radical shift in the geography of power -- a catch-up or reversal of the Western global dominance that was established with the Industrial Revolution.

developing countries won't be able to follow the West's path to becoming rich, because that path required certain things that were largely particular to that one period in history.

The challenge ahead for the BRICs, then, is to figure out how to maintain growth in a world where the vast new frontier opened up by the Industrial Revolution appears to be closing. The BRICs can play the West's game better than the West, both through technological innovation and population growth, but only for so long. The whole world has to figure out a way of dealing with energy and agriculture.

By emphasizing a focus on the here and now, it trains the mind to stay on task and avoid distraction.

“Your ability to recognize what your mind is engaging with, and control that, is really a core strength,” said Peter Malinowski, a psychologist and neuroscientist at Liverpool John Moores University in England. “For some people who begin mindfulness training, it’s the first time in their life where they realize that a thought or emotion is not their only reality, that they have the ability to stay focused on something else, for instance their breathing, and let that emotion or thought just pass by.”

the higher adults scored on a measurement of mindfulness, the worse they performed on tests of implicit learning — the kind that underlies all sorts of acquired skills and habits but that occurs without conscious awareness.

he found that having participants spend a brief period of time on an undemanding task that maximizes mind wandering improved their subsequent performance on a test of creativity. In a follow-up study, he reported that physicists and writers alike came up with their most insightful ideas while spacing out.

The trick is knowing when mindfulness is called for and when it’s not.

one of the most surprising findings of recent mindfulness studies is that it could have unwanted side effects. Raising roadblocks to the mind’s peregrinations could, after all, prevent the very sort of mental vacations that lead to epiphanies.

“There’s so much our brain is doing when we’re not aware of it,” said the study’s leader, Chelsea Stillman, a doctoral candidate. “We know that being mindful is really good for a lot of explicit cognitive functions. But it might not be so useful when you want to form new habits.” Learning to ride a bicycle, speak grammatically or interpret the meaning of people’s facial expressions are three examples of knowledge we acquire through implicit learning

When giving directions, a non-uptalker would use a declarative sentence, without a rising inflection. But uptalkers did use rises, as if they were implicitly asking the listener to confirm that they were being understood: “Go all the way to the right in the middle where it says Canyon Hills?”

“It could indicate that young women were generally interrupted more than men and so it’s a defense mechanism.”

The more successful a man is, the less likely he is to use uptalk; the more successful a woman is, the more likely she is to use uptalk.”

at uptalk has been used by the more powerful person in hierarchical exchanges, such as those between employer and employee, teacher and student, or doctor and patient. An office assistant, for example, would not be likely to say to the boss: “Are you following me on this? Do you understand what I’m saying?” In such instances, uptalk, rather than suggesting insecurity, may in fact signal confidence, paternalism, coercion or faux conviviality.

isdainful stereotype will disappear, its intonations lingering as a kind of regional accent, the California version of a Southern drawl — although some researchers note that American uptalkers are not confined to the West Coast.

Although there has been a decline in the study of foreign languages in other parts of the UK, England and Scotland have both introduced policies to increase the provision.

"We're having to work much harder to make it more fun, desirable - they don't see languages as being as important as the core subjects and I don't think that schools do generally either with literacy, numeracy and science seen as more important over subjects like language

Labour says the loss of qualifications in lesser-studied languages follows government changes to GCSEs and A-levels.

The party has highlighted recent announcements by exam boards OCR and AQA listing the subjects they would still offer at GCSE and A-level and those they would discontinue.

Labour said Education Minister Nick Gibb told a debate in Parliament this week he agreed with the importance of languages for future economic growth.

"It is down to exam boards to decide which languages they want to offer as reformed A-levels. But we will be raising concerns about non-traditional languages with the boards and asking them to reconsider their decision," said the spokeswoman.

"Plans to scrap the requirement for academy sponsors to consult with school communities, including parents, could result in a faith based education being imposed on parents and young people against their wishes.

"Given England's religiously diverse population – around half of which self-identify as non-religious, any increase in the proportion of religiously designated or faith ethos schools is likely to impede parents' ability to secure an education that doesn't run counter to their beliefs.

"Forcing a religious ethos on young people through their education would in many cases disrespect their parents' wishes and be at odds with principles of fairness and equality.

the academisation of local authority controlled schools would increase the risk of faith-based organisations gaining greater control over school curriculums, admissions arrangements and employment practices – leading to even greater discrimination in our education system than already exists.

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

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

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

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

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

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

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

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

One thing that happened on the road to doom was that the world figured out how to feed itself despite its rising numbers. No small measure of thanks belonged to Norman E. Borlaug, an American plant scientist whose breeding of high-yielding, disease-resistant crops led to the agricultural savior known as the Green Revolution.

Some preternaturally optimistic analysts concluded that humans would always find their way out of tough spots. Among them was Julian L. Simon, an economist who established himself as the anti-Ehrlich, arguing that “humanity’s condition will improve in just about every material way.”

In fact, birthrates are now below long-term replacement levels, or nearly so, across much of Earth, not just in the industrialized West and Japan but also in India, China, much of Southeast Asia, Latin America — just about everywhere except Africa, although even there the continentwide rates are declining. “Girls that are never born cannot have babies,”

Because of improved health standards, birthing many children is not the survival imperative for families that it once was. In cramped cities, large families are not the blessing they were in the agricultural past. And women in many societies are ever more independent, socially and economically; they no longer accept that their fate is to be endlessly pregnant. If anything, the worry in many countries is that their populations are aging and that national vitality is ebbing.

Still, enough people are already around to ensure that the world’s population will keep rising. But for how long? That is a devilishly difficult question. One frequently cited demographic model by the United Nations envisions a peak of about nine billion around 2050. Other forecasts are for continued growth into the next century. Still others say the population will begin to drop before the middle of this century.

In Mr. Pearce’s view, the villain is not overpopulation but, rather, overconsumption. “We can survive massive demographic change,” he said in 2011. But he is less sanguine about the overuse of available resources and its effects on climate change

“Rising consumption today far outstrips the rising head count as a threat to the planet,” Mr. Pearce wrote in Prospect, a British magazine, in 2010. “And most of the extra consumption has been in rich countries that have long since given up adding substantial numbers to their population,

“Let’s look at carbon dioxide emissions, the biggest current concern because of climate change,” he continued. “The world’s richest half billion people — that’s about 7 percent of the global population — are responsible for half of the world’s carbon dioxide emissions. Meanwhile, the poorest 50 percent of the population are responsible for just 7 percent of emissions.”

The health of society is primarily determined by the habits and virtues of its citizens.

In many parts of America there are no minimally agreed upon standards for what it means to be a father. There are no basic codes and rules woven into daily life, which people can absorb unconsciously and follow automatically.

Roughly 10 percent of the children born to college grads grow up in single-parent households. Nearly 70 percent of children born to high school grads do. There are a bunch of charts that look like open scissors. In the 1960s or 1970s, college-educated and noncollege-educated families behaved roughly the same. But since then, behavior patterns have ever more sharply diverged. High-school-educated parents dine with their children less than college-educated parents, read to them less, talk to them less, take them to church less, encourage them less and spend less time engaging in developmental activity.

Next it will require holding people responsible. People born into the most chaotic situations can still be asked the same questions: Are you living for short-term pleasure or long-term good? Are you living for yourself or for your children? Do you have the freedom of self-control or are you in bondage to your desires?

Next it will require holding everybody responsible. America is obviously not a country in which the less educated are behaving irresponsibly and the more educated are beacons of virtue. America is a country in which privileged people suffer from their own characteristic forms of self-indulgence: the tendency to self-segregate, the comprehensive failures of leadership in government and industry.

People sometimes wonder why I’ve taken this column in a spiritual and moral direction of late. It’s in part because we won’t have social repair unless we are more morally articulate, unless we have clearer definitions of how we should be behaving at all levels.

History is full of examples of moral revival, when social chaos was reversed, when behavior was tightened and norms reasserted. It happened in England in the 1830s and in the U.S. amid economic stress in the 1930s.