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There are traditionally two types of breath-focused practices -- those that emphasise focus on breathing (mindfulness), and those that require breathing to be controlled (deep breathing practices such as pranayama). In cases when a person's attention is compromised, practices which emphasise concentration and focus, such as mindfulness, where the individual focuses on feeling the sensations of respiration but make no effort to control them, could possibly be most beneficial.

Our findings could have particular implications for research into brain ageing. Brains typically lose mass as they age, but less so in the brains of long term meditators. More 'youthful' brains have a reduced risk of dementia and mindfulness meditation techniques actually strengthen brain networks.

In school, one learns about “the scientific method”—usually a straightforward set of steps, along the lines of “ask a question, propose a hypothesis, perform an experiment, analyze the results.”

That method works in the classroom, where students are basically told what questions to pursue. But real scientists must come up with their own questions, finding new routes through a much vaster landscape.

Since science began, there has been disagreement about how those routes are charted. Two twentieth-century philosophers of science, Karl Popper and Thomas Kuhn, are widely held to have offered the best accounts of this process.

For Popper, Strevens writes, “scientific inquiry is essentially a process of disproof, and scientists are the disprovers, the debunkers, the destroyers.” Kuhn’s scientists, by contrast, are faddish true believers who promulgate received wisdom until they are forced to attempt a “paradigm shift”—a painful rethinking of their basic assumptions.

Working scientists tend to prefer Popper to Kuhn. But Strevens thinks that both theorists failed to capture what makes science historically distinctive and singularly effective.

Sometimes they seek to falsify theories, sometimes to prove them; sometimes they’re informed by preëxisting or contextual views, and at other times they try to rule narrowly, based on t

Why do scientists agree to this scheme? Why do some of the world’s most intelligent people sign on for a lifetime of pipetting?

Strevens thinks that they do it because they have no choice. They are constrained by a central regulation that governs science, which he calls the “iron rule of explanation.” The rule is simple: it tells scientists that, “if they are to participate in the scientific enterprise, they must uncover or generate new evidence to argue with”; from there, they must “conduct all disputes with reference to empirical evidence alone.”

, it is “the key to science’s success,” because it “channels hope, anger, envy, ambition, resentment—all the fires fuming in the human heart—to one end: the production of empirical evidence.”

Strevens arrives at the idea of the iron rule in a Popperian way: by disproving the other theories about how scientific knowledge is created.

The problem isn’t that Popper and Kuhn are completely wrong. It’s that scientists, as a group, don’t pursue any single intellectual strategy consistently.

Exploring a number of case studies—including the controversies over continental drift, spontaneous generation, and the theory of relativity—Strevens shows scientists exerting themselves intellectually in a variety of ways, as smart, ambitious people usually do.

“Science is boring,” Strevens writes. “Readers of popular science see the 1 percent: the intriguing phenomena, the provocative theories, the dramatic experimental refutations or verifications.” But, he says,behind these achievements . . . are long hours, days, months of tedious laboratory labor. The single greatest obstacle to successful science is the difficulty of persuading brilliant minds to give up the intellectual pleasures of continual speculation and debate, theorizing and arguing, and to turn instead to a life consisting almost entirely of the production of experimental data.

Ultimately, in fact, it was good that the geologists had a “splendid variety” of somewhat arbitrary opinions: progress in science requires partisans, because only they have “the motivation to perform years or even decades of necessary experimental work.” It’s just that these partisans must channel their energies into empirical observation. The iron rule, Strevens writes, “has a valuable by-product, and that by-product is data.”

Science is often described as “self-correcting”: it’s said that bad data and wrong conclusions are rooted out by other scientists, who present contrary findings. But Strevens thinks that the iron rule is often more important than overt correction.

Eddington was never really refuted. Other astronomers, driven by the iron rule, were already planning their own studies, and “the great preponderance of the resulting measurements fit Einsteinian physics better than Newtonian physics.” It’s partly by generating data on such a vast scale, Strevens argues, that the iron rule can power science’s knowledge machine: “Opinions converge not because bad data is corrected but because it is swamped.”

Why did the iron rule emerge when it did? Strevens takes us back to the Thirty Years’ War, which concluded with the Peace of Westphalia, in 1648. The war weakened religious loyalties and strengthened national ones.

Two regimes arose: in the spiritual realm, the will of God held sway, while in the civic one the decrees of the state were paramount. As Isaac Newton wrote, “The laws of God & the laws of man are to be kept distinct.” These new, “nonoverlapping spheres of obligation,” Strevens argues, were what made it possible to imagine the iron rule. The rule simply proposed the creation of a third sphere: in addition to God and state, there would now be science.

Strevens imagines how, to someone in Descartes’s time, the iron rule would have seemed “unreasonably closed-minded.” Since ancient Greece, it had been obvious that the best thinking was cross-disciplinary, capable of knitting together “poetry, music, drama, philosophy, democracy, mathematics,” and other elevating human disciplines.

We’re still accustomed to the idea that a truly flourishing intellect is a well-rounded one. And, by this standard, Strevens says, the iron rule looks like “an irrational way to inquire into the underlying structure of things”; it seems to demand the upsetting “suppression of human nature.”

Descartes, in short, would have had good reasons for resisting a law that narrowed the grounds of disputation, or that encouraged what Strevens describes as “doing rather than thinking.”

In fact, the iron rule offered scientists a more supple vision of progress. Before its arrival, intellectual life was conducted in grand gestures.

Descartes’s book was meant to be a complete overhaul of what had preceded it; its fate, had science not arisen, would have been replacement by some equally expansive system. The iron rule broke that pattern.

by authorizing what Strevens calls “shallow explanation,” the iron rule offered an empirical bridge across a conceptual chasm. Work could continue, and understanding could be acquired on the other side. In this way, shallowness was actually more powerful than depth.

it also changed what counted as progress. In the past, a theory about the world was deemed valid when it was complete—when God, light, muscles, plants, and the planets cohered. The iron rule allowed scientists to step away from the quest for completeness.

The consequences of this shift would become apparent only with time

In 1713, Isaac Newton appended a postscript to the second edition of his “Principia,” the treatise in which he first laid out the three laws of motion and the theory of universal gravitation. “I have not as yet been able to deduce from phenomena the reason for these properties of gravity, and I do not feign hypotheses,” he wrote. “It is enough that gravity really exists and acts according to the laws that we have set forth.”

What mattered, to Newton and his contemporaries, was his theory’s empirical, predictive power—that it was “sufficient to explain all the motions of the heavenly bodies and of our sea.”

Descartes would have found this attitude ridiculous. He had been playing a deep game—trying to explain, at a fundamental level, how the universe fit together. Newton, by those lights, had failed to explain anything: he himself admitted that he had no sense of how gravity did its work

Strevens sees its earliest expression in Francis Bacon’s “The New Organon,” a foundational text of the Scientific Revolution, published in 1620. Bacon argued that thinkers must set aside their “idols,” relying, instead, only on evidence they could verify. This dictum gave scientists a new way of responding to one another’s work: gathering data.

Quantum theory—which tells us that subatomic particles can be “entangled” across vast distances, and in multiple places at the same time—makes intuitive sense to pretty much nobody.

Without the iron rule, Strevens writes, physicists confronted with such a theory would have found themselves at an impasse. They would have argued endlessly about quantum metaphysics.

ollowing the iron rule, they can make progress empirically even though they are uncertain conceptually. Individual researchers still passionately disagree about what quantum theory means. But that hasn’t stopped them from using it for practical purposes—computer chips, MRI machines, G.P.S. networks, and other technologies rely on quantum physics.

One group of theorists, the rationalists, has argued that science is a new way of thinking, and that the scientist is a new kind of thinker—dispassionate to an uncommon degree.

As evidence against this view, another group, the subjectivists, points out that scientists are as hopelessly biased as the rest of us. To this group, the aloofness of science is a smoke screen behind which the inevitable emotions and ideologies hide.

At least in science, Strevens tells us, “the appearance of objectivity” has turned out to be “as important as the real thing.”

The subjectivists are right, he admits, inasmuch as scientists are regular people with a “need to win” and a “determination to come out on top.”

But they are wrong to think that subjectivity compromises the scientific enterprise. On the contrary, once subjectivity is channelled by the iron rule, it becomes a vital component of the knowledge machine. It’s this redirected subjectivity—to come out on top, you must follow the iron rule!—that solves science’s “problem of motivation,” giving scientists no choice but “to pursue a single experiment relentlessly, to the last measurable digit, when that digit might be quite meaningless.”

If it really was a speech code that instigated “the extraordinary attention to process and detail that makes science the supreme discriminator and destroyer of false ideas,” then the peculiar rigidity of scientific writing—Strevens describes it as “sterilized”—isn’t a symptom of the scientific mind-set but its cause.

The iron rule—“a kind of speech code”—simply created a new way of communicating, and it’s this new way of communicating that created science.

Other theorists have explained science by charting a sweeping revolution in the human mind; inevitably, they’ve become mired in a long-running debate about how objective scientists really are

In “The Knowledge Machine: How Irrationality Created Modern Science” (Liveright), Michael Strevens, a philosopher at New York University, aims to identify that special something. Strevens is a philosopher of science

Compared with the theories proposed by Popper and Kuhn, Strevens’s rule can feel obvious and underpowered. That’s because it isn’t intellectual but procedural. “The iron rule is focused not on what scientists think,” he writes, “but on what arguments they can make in their official communications.”

Like everybody else, scientists view questions through the lenses of taste, personality, affiliation, and experience

geologists had a professional obligation to take sides. Europeans, Strevens reports, tended to back Wegener, who was German, while scholars in the United States often preferred Simpson, who was American. Outsiders to the field were often more receptive to the concept of continental drift than established scientists, who considered its incompleteness a fatal flaw.

Strevens’s point isn’t that these scientists were doing anything wrong. If they had biases and perspectives, he writes, “that’s how human thinking works.”

Eddington’s observations were expected to either confirm or falsify Einstein’s theory of general relativity, which predicted that the sun’s gravity would bend the path of light, subtly shifting the stellar pattern. For reasons having to do with weather and equipment, the evidence collected by Eddington—and by his colleague Frank Dyson, who had taken similar photographs in Sobral, Brazil—was inconclusive; some of their images were blurry, and so failed to resolve the matter definitively.

it was only natural for intelligent people who were free of the rule’s strictures to attempt a kind of holistic, systematic inquiry that was, in many ways, more demanding. It never occurred to them to ask if they might illuminate more collectively by thinking about less individually.

In the single-sphered, pre-scientific world, thinkers tended to inquire into everything at once. Often, they arrived at conclusions about nature that were fascinating, visionary, and wrong.

How Does Science Really Work?Science is objective. Scientists are not. Can an “iron rule” explain how they’ve changed the world anyway?By Joshua RothmanSeptember 28, 2020

Fifth, people don’t like to be told what to think, and may rebel if they feel that they’re being pressured to think a certain way.

our training model of “teaching people to be good” is based on the illusion that you can change people’s minds and behaviors by presenting them with new information and new thoughts.

If this were generally so, moral philosophers would behave better than the rest of us

People change when they are put in new environments, in permanent relationship with diverse groups of people. Their embodied minds adapt to the environments in a million different ways we will never understand or be able to plan

doing life together with people of other groups can reduce prejudice and change minds.

This points to a more fundamental vision of social change, but it is a hard-won lesson from a bitterly divisive year.

impervious to evidence, willing to believe the most outlandish things if it suited their biases

this was the year that called into question the very processes by which our society supposedly makes progress.

It turns out that if you tell someone their facts are wrong, you don’t usually win them over; you just entrench false belief.

this was the year that showed that our models for how we change minds or change behavior are deeply flawed.

The courses teach people about bias, they combat stereotypes and they encourage people to assume the perspectives of others in disadvantaged groups.

One of the most studied examples of this flawed model is racial diversity training

Our current model of social change isn’t working.

but the bulk of the evidence, though not all of it, suggests they don’t reduce discrimination.

One meta-analysis of 985 studies of anti-bias interventions found little evidence that these programs reduced bias. Other studies sometimes do find a short-term change in attitudes, but very few find a widespread change in actual behavior.

First, “short-term educational interventions in general do not change people.”

Third, training can make people complacent, thinking that because they went through the program they’ve solved the problem

Sacks is, at heart, a philosopher. But he is a philosopher looking not for answers but for increasingly grander questions.

It is only the wisest among us who search not only for answers but also for questions.

Haidt argues that people are fundamentally intuitive, not rational.

Politics isn’t just about ­manipulating people who disagree with you. It’s about learning from them.

They exalt families, armies and communities. They assume that people should be treated differently according to social role or status — elders should be honored, subordinates should be protected.

Is it wrong to have sex with a dead chicken? How about with your sister? Is it O.K. to defecate in a urinal? If your dog dies, why not eat it? Under interrogation, most subjects in psychology experiments agree these things are wrong. But none can explain why.

They do reason. But their arguments aim to support their conclusions, not yours.

Haidt’s account of reason is a bit too simple — his whole book, after all, is a deployment of reason to advance learning — and his advice sounds cynical.

Haidt replies: We were never designed to listen to reason. When you ask people moral questions, time their responses and scan their brains, their answers and brain activation patterns indicate that they reach conclusions quickly and produce reasons later only to justify what they’ve decided.

The Tea Party hates redistribution because it interferes with letting people reap what they earn. Faith, patriotism, valor, chastity, law and order — these Republican themes touch all six moral foundations, whereas Democrats, in Haidt’s analysis, focus almost entirely on care and fighting oppression.

When it comes to morality, conservatives are more broad-minded than liberals. They serve a more varied diet.

He figures that if voters like Republican messages, there’s something in Republican messages worth liking. He chides psychologists who try to “explain away” conservatism, treating it as a pathology.

parochial altruism, the inclination to care more about members of your group — particularly those who have made sacrifices for it —than about outsiders.

The hardest part, Haidt finds, is getting liberals to open their minds.

“fewer people believe that righteous ends justify violent means.”

Can we tolerate cultures of female subjugation? And how far should we trust our instincts? Should people who find homosexuality repugnant overcome that reaction?

But Haidt is right that we must learn what we have been, even if our nature is to transcend it.

there’s that exquisite verse, one of the most beautiful in the Bible, the one that says if God cares deeply about sparrows, don’t you think He cares about you? One is so accustomed to dwelling on the second, human, half of the equation, the comforting part, but when you put your hand over that and consider only the first, it’s a little startling: God cares deeply about the sparrows. Not just that, He cares about them individually. “Are not five sparrows sold for two pennies?” Jesus says. “Yet not one of them is forgotten in God’s sight.”

The modern conversation on animal consciousness proceeds, with the rest of the Enlightenment, from the mind of René Descartes, whose take on animals was vividly (and approvingly) paraphrased by the French philosopher Nicolas Malebranche: they “eat without pleasure, cry without pain, grow without knowing it; they desire nothing, fear nothing, know nothing.” Descartes’ term for them was automata

In On the Origin of Species, Charles Darwin made the intriguing claim that among the naturalists he knew it was consistently the case that the better a researcher got to know a certain species, the more each individual animal’s actions appeared attributable to “reason and the less to unlearnt instinct.” The more you knew, the more you suspected that they were rational. That marks an important pivot, that thought, insofar as it took place in the mind of someone devoted to extremely close and meticulous study of living animals, a mind that had trained itself not to sentimentalize.

The sheer number and variety of experiments carried out in the twentieth century—and with, if anything, a renewed intensity in the twenty-first—exceeds summary. Reasoning, language, neurology, the science of emotions—every chamber where “consciousness” is thought to hide has been probed. Birds and chimps and dolphins have been made to look at themselves in mirrors—to observe whether, on the basis of what they see, they groom or preen (a measure, if somewhat arbitrary, of self-awareness). Dolphins have been found to grieve. Primates have learned symbolic or sign languages and then been interrogated with them. Their answers show thinking but have proved stubbornly open to interpretation on the issue of “consciousness,” with critics warning, as always, about the dangers of anthropomorphism, animal-rights bias, etc.

If we put aside the self-awareness standard—and really, how arbitrary and arrogant is that, to take the attribute of consciousness we happen to possess over all creatures and set it atop the hierarchy, proclaiming it the very definition of consciousness (Georg Christoph Lichtenberg wrote something wise in his notebooks, to the effect of: only a man can draw a self-portrait, but only a man wants to)—it becomes possible to say at least the following: the overwhelming tendency of all this scientific work, of its results, has been toward more consciousness. More species having it, and species having more of it than assumed.

The animal kingdom is symphonic with mental activity, and of its millions of wavelengths, we’re born able to understand the minutest sliver. The least we can do is have a proper respect for our ignorance.

The philosopher Thomas Nagel wrote an essay in 1974 titled, “What Is It Like To Be a Bat?”, in which he put forward perhaps the least overweening, most useful definition of “animal consciousness” ever written, one that channels Spinoza’s phrase about “that nature belonging to him wherein he has his being.” Animal consciousness occurs, Nagel wrote, when “there is something that it is to be that organism—something it is like for the organism.” The strangeness of his syntax carries the genuine texture of the problem. We’ll probably never be able to step far enough outside of our species-reality to say much about what is going on with them, beyond saying how like or unlike us they are. Many things are conscious on the earth, and we are one, and our consciousness feels like this; one of the things it causes us to do is doubt the existence of the consciousness of the other millions of species. But it also allows us to imagine a time when we might stop doing that.

mindfulness has been shown to improve connectivity inside our brain’s attentional networks, as well as between attentional and medial frontal regions — changes that save us from distraction.

Mindfulness training has even been shown to affect the brain’s default network — the network of connections that remains active when we are in a so-called resting state — with regular meditators exhibiting increased resting-state functional connectivity and increased connectivity generally.

the neural activation patterns of older adults (specifically, activation in the prefrontal cortex), began to resemble those of much younger subjects after just five one-hour training sessions on a task of attentional control. Their brains became more efficient at coordinating multiple task

The idea that every human brain is mechanically perfect – with cruel or annihilating impulses somehow separate from it, as if repugnant thoughts were like stagnant water running through an infallibly reliable plumbing system – is silly but somehow comforting.

our potential for understanding that it’s all in our minds, and working out how individual minds can develop in a well-adjusted way, has never been greater. That, to me, gives great hope for the future.

Puett puts a fresh spin on the questions that Chinese scholars grappled with centuries ago. He requires his students to closely read original texts (in translation) such as Confucius’s Analects, the Mencius, and the Daodejing and then actively put the teachings into practice in their daily lives. His lectures use Chinese thought in the context of contemporary American life to help 18- and 19-year-olds who are struggling to find their place in the world figure out how to be good human beings; how to create a good society; how to have a flourishing life. 

Puett began offering his course to introduce his students not just to a completely different cultural worldview but also to a different set of tools. He told me he is seeing more students who are “feeling pushed onto a very specific path towards very concrete career goals”

Puett tells his students that being calculating and rationally deciding on plans is precisely the wrong way to make any sort of important life decision. The Chinese philosophers they are reading would say that this strategy makes it harder to remain open to other possibilities that don’t fit into that plan.

Students who do this “are not paying enough attention to the daily things that actually invigorate and inspire them, out of which could come a really fulfilling, exciting life,” he explains. If what excites a student is not the same as what he has decided is best for him, he becomes trapped on a misguided path, slated to begin an unfulfilling career.

He teaches them that:   The smallest actions have the most profound ramifications. 

From a Chinese philosophical point of view, these small daily experiences provide us endless opportunities to understand ourselves. When we notice and understand what makes us tick, react, feel joyful or angry, we develop a better sense of who we are that helps us when approaching new situations. Mencius, a late Confucian thinker (4th century B.C.E.), taught that if you cultivate your better nature in these small ways, you can become an extraordinary person with an incredible influence

Decisions are made from the heart. Americans tend to believe that humans are rational creatures who make decisions logically, using our brains. But in Chinese, the word for “mind” and “heart” are the same.

If the body leads, the mind will follow. Behaving kindly (even when you are not feeling kindly), or smiling at someone (even if you aren’t feeling particularly friendly at the moment) can cause actual differences in how you end up feeling and behaving, even ultimately changing the outcome of a situation.

In the same way that one deliberately practices the piano in order to eventually play it effortlessly, through our everyday activities we train ourselves to become more open to experiences and phenomena so that eventually the right responses and decisions come spontaneously, without angst, from the heart-mind.

Whenever we make decisions, from the prosaic to the profound (what to make for dinner; which courses to take next semester; what career path to follow; whom to marry), we will make better ones when we intuit how to integrate heart and mind and let our rational and emotional sides blend into one. 

Aristotle said, “We are what we repeatedly do,” a view shared by thinkers such as Confucius, who taught that the importance of rituals lies in how they inculcate a certain sensibility in a person.

“The Chinese philosophers we read taught that the way to really change lives for the better is from a very mundane level, changing the way people experience and respond to the world, so what I try to do is to hit them at that level. I’m not trying to give my students really big advice about what to do with their lives. I just want to give them a sense of what they can do daily to transform how they live.”

Their assignments are small ones: to first observe how they feel when they smile at a stranger, hold open a door for someone, engage in a hobby. He asks them to take note of what happens next: how every action, gesture, or word dramatically affects how others respond to them. Then Puett asks them to pursue more of the activities that they notice arouse positive, excited feelings.

Once they’ve understood themselves better and discovered what they love to do they can then work to become adept at those activities through ample practice and self-cultivation. Self-cultivation is related to another classical Chinese concept: that effort is what counts the most, more than talent or aptitude. We aren’t limited to our innate talents; we all have enormous potential to expand our abilities if we cultivate them

To be interconnected, focus on mundane, everyday practices, and understand that great things begin with the very smallest of acts are radical ideas for young people living in a society that pressures them to think big and achieve individual excellence.

One of Puett’s former students, Adam Mitchell, was a math and science whiz who went to Harvard intending to major in economics. At Harvard specifically and in society in general, he told me, “we’re expected to think of our future in this rational way: to add up the pros and cons and then make a decision. That leads you down the road of ‘Stick with what you’re good at’”—a road with little risk but little reward.

after his introduction to Chinese philosophy during his sophomore year, he realized this wasn’t the only way to think about the future. Instead, he tried courses he was drawn to but wasn’t naturally adroit at because he had learned how much value lies in working hard to become better at what you love. He became more aware of the way he was affected by those around him, and how they were affected by his own actions in turn. Mitchell threw himself into foreign language learning, feels his relationships have deepened, and is today working towards a master’s degree in regional studies.

“I can happily say that Professor Puett lived up to his promise, that the course did in fact change my life.”

If you want to talk about something real, it’s probably a mistake to use a suspect concept like self-confidence, which is self-oriented. It’s probably a better idea to think about competence, which is task-oriented. If you ask, “Am I competent?” at least you are measuring yourself according to the standards of a specific domain.

The person with the confidence mind-set is like the painfully self-conscious person at a dinner party who asks, “How am I coming across?” The person with an instrumentalist mind-set is serving a craft and asks “What does this specific job require?” The person with a confidence mind-set is told “Believe in yourself.” This arouses all sorts of historical prejudices and social stereotypes. The person with an instrumentalist mind-set is told “Look accurately at what you have done.”

One of the hard things in life is learning to ask questions that you can actually answer. For example, if you are thinking about taking a job, it’s probably foolish to ask, “What future opportunities will this lead to?” You can’t know. It’s probably better to ask, “Will going to this workplace be rewarding day to day?” which is more concrete.

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.’’

not only did the brains of the mental athletes appear anatomically indistinguishable from those of the control subjects, but on every test of general cognitive ability, the mental athletes’ scores came back well within the normal range.

There was, however, one telling difference between the brains of the mental athletes and those of the control subjects. When the researchers looked at the parts of the brain that were engaged when the subjects memorized, they found that the mental athletes were relying more heavily on regions known to be involved in spatial memory.

just about anything could be imprinted upon our memories, and kept in good order, simply by constructing a building in the imagination and filling it with imagery of what needed to be recalled. This imagined edifice could then be walked through at any time in the future. Such a building would later come to be called a memory palace.

Memory training was considered a centerpiece of classical education in the language arts, on par with grammar, logic and rhetoric. Students were taught not just what to remember but how to remember it. In a world with few books, memory was sacrosanct.

In his essay “First Steps Toward a History of Reading,” Robert Darnton describes a switch from “intensive” to “extensive” reading that occurred as printed books began to proliferate.

Until relatively recently, people read “intensively,” Darnton says. “They had only a few books — the Bible, an almanac, a devotional work or two — and they read them over and over again, usually aloud and in groups, so that a narrow range of traditional literature became deeply impressed on their consciousness.” Today we read books “extensively,” often without sustained focus, and with rare exceptions we read each book only once. We value quantity of reading over quality of reading.

“Rhetorica ad Herennium” underscores the importance of purposeful attention by making a distinction between natural memory and artificial memory:

Our hunter-gatherer ancestors didn’t need to recall phone numbers or word-for-word instructions from their bosses or the Advanced Placement U.S. history curriculum or (because they lived in relatively small, stable groups) the names of dozens of strangers at a cocktail party. What they did need to remember was where to find food and resources and the route home and which plants were edible and which were poisonous

What distinguishes a great mnemonist, I learned, is the ability to create lavish images on the fly, to paint in the mind a scene so unlike any other it cannot be forgotten. And to do it quickly. Many c

the three stages of acquiring a new skill. During the first phase, known as the cognitive phase, we intellectualize the task and discover new strategies to accomplish it more proficiently. During the second

Since search engines are continually available to us, we may often be in a state of not feeling we need to encode the information internally. When we need it, we will look it up."

when people expect information to remain continuously available (such as we expect with Internet access), we are more likely to remember where to find it than we are to remember the details of the item."

we've never had an "external memory" so capacious, so available and so easily searched as the web. If, as this study suggests, the way we form (or fail to form) memories is deeply influenced by the mere existence of external information stores, then we may be entering an era in history in which we will store fewer and fewer memories inside our own brains.

If a fact stored externally were the same as a memory of that fact stored in our mind, then the loss of internal memory wouldn't much matter. But external storage and biological memory are not the same thing. When we form, or "consolidate," a personal memory, we also form associations between that memory and other memories that are unique to ourselves and also indispensable to the development of deep, conceptual knowledge. The associations, moreover, continue to change with time, as we learn more and experience more. As Emerson understood, the essence of personal memory is not the discrete facts or experiences we store in our mind but "the cohesion" which ties all those facts and experiences together. What is the self but the unique pattern of that cohesion?

as memory shifts from the individual mind to the machine's shared database, what happens to that unique "cohesion" that is the self?

The rejection of science seems to be part of a politically monolithic red-state fundamentalism, textbook evidence of an unyielding ignorance on the part of the religious. As one fundamentalist slogan puts it, “The Bible says it, I believe it, that settles it.”

But in fact their rejection of knowledge amounts to what the evangelical historian Mark A. Noll, in his 1994 book, “The Scandal of the Evangelical Mind,” described as an “intellectual disaster.” He called on evangelicals to repent for their neglect of the mind, decrying the abandonment of the intellectual heritage of the Protestant Reformation. “The scandal of the evangelical mind,” he wrote, “is that there is not much of an evangelical mind.”

Scholars like Dr. Collins and Mr. Noll, and publications like Books & Culture, Sojourners and The Christian Century, offer an alternative to the self-anointed leaders. They recognize that the Bible does not condemn evolution and says next to nothing about gay marriage. They understand that Christian theology can incorporate Darwin’s insights and flourish in a pluralistic society.

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

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

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

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

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

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

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

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

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

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

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

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

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

Empowered by their own sources of information and their own interpretations of research, doubters have declared war on the consensus of experts.

Our lives are permeated by science and technology as never before. For many of us this new world is wondrous, comfortable, and rich in rewards—but also more complicated and sometimes unnerving. We now face risks we can’t easily analyze.

The world crackles with real and imaginary hazards, and distinguishing the former from the latter isn’t easy.

In this bewildering world we have to decide what to believe and how to act on that. In principle that’s what science is for.

“Science is not a body of facts,” says geophysicist Marcia McNutt,

“Science is a method for deciding whether what we choose to believe has a basis in the laws of nature or not.”

The scientific method leads us to truths that are less than self-evident, often mind-blowing, and sometimes hard to swallow.

We don’t believe you.

Galileo was put on trial and forced to recant. Two centuries later Charles Darwin escaped that fate. But his idea that all life on Earth evolved from a primordial ancestor and that we humans are distant cousins of apes, whales, and even deep-sea mollusks is still a big ask for a lot of people. So is another 19th-century notion: that carbon dioxide, an invisible gas that we all exhale all the time and that makes up less than a tenth of one percent of the atmosphere, could be affecting Earth’s climate.

we intellectually accept these precepts of science, we subconsciously cling to our intuitions

Shtulman’s research indicates that as we become scientifically literate, we repress our naive beliefs but never eliminate them entirely. They lurk in our brains, chirping at us as we try to make sense of the world.

Most of us do that by relying on personal experience and anecdotes, on stories rather than statistics.

We have trouble digesting randomness; our brains crave pattern and meaning.

we can deceive ourselves.

Even for scientists, the scientific method is a hard discipline. Like the rest of us, they’re vulnerable to what they call confirmation bias—the tendency to look for and see only evidence that confirms what they already believe. But unlike the rest of us, they submit their ideas to formal peer review before publishing them

other scientists will try to reproduce them

Scientific results are always provisional, susceptible to being overturned by some future experiment or observation. Scientists rarely proclaim an absolute truth or absolute certainty. Uncertainty is inevitable at the frontiers of knowledge.

Many people in the United States—a far greater percentage than in other countries—retain doubts about that consensus or believe that climate activists are using the threat of global warming to attack the free market and industrial society generally.

news media give abundant attention to such mavericks, naysayers, professional controversialists, and table thumpers. The media would also have you believe that science is full of shocking discoveries made by lone geniuses

science tells us the truth rather than what we’d like the truth to be. Scientists can be as dogmatic as anyone else—but their dogma is always wilting in the hot glare of new research.

But industry PR, however misleading, isn’t enough to explain why only 40 percent of Americans, according to the most recent poll from the Pew Research Center, accept that human activity is the dominant cause of global warming.

“science communication problem,”

yielded abundant new research into how people decide what to believe—and why they so often don’t accept the scientific consensus.

higher literacy was associated with stronger views—at both ends of the spectrum. Science literacy promoted polarization on climate, not consensus. According to Kahan, that’s because people tend to use scientific knowledge to reinforce beliefs that have already been shaped by their worldview.

“egalitarian” and “communitarian” mind-set are generally suspicious of industry and apt to think it’s up to something dangerous that calls for government regulation; they’re likely to see the risks of climate change.

“hierarchical” and “individualistic” mind-set respect leaders of industry and don’t like government interfering in their affairs; they’re apt to reject warnings about climate change, because they know what accepting them could lead to—some kind of tax or regulation to limit emissions.

For a hierarchical individualist, Kahan says, it’s not irrational to reject established climate science: Accepting it wouldn’t change the world, but it might get him thrown out of his tribe.

Science appeals to our rational brain, but our beliefs are motivated largely by emotion, and the biggest motivation is remaining tight with our peers.

organizations funded in part by the fossil fuel industry have deliberately tried to undermine the public’s understanding of the scientific consensus by promoting a few skeptics.

Internet makes it easier than ever for climate skeptics and doubters of all kinds to find their own information and experts

Internet has democratized information, which is a good thing. But along with cable TV, it has made it possible to live in a “filter bubble” that lets in only the information with which you already agree.

How to convert climate skeptics? Throwing more facts at them doesn’t help.

people need to hear from believers they can trust, who share their fundamental values.

We believe in scientific ideas not because we have truly evaluated all the evidence but because we feel an affinity for the scientific community.

“Believing in evolution is just a description about you. It’s not an account of how you reason.”

evolution actually happened. Biology is incomprehensible without it. There aren’t really two sides to all these issues. Climate change is happening. Vaccines really do save lives. Being right does matter—and the science tribe has a long track record of getting things right in the end. Modern society is built on things it got right.

Doubting science also has consequences.

In the climate debate the consequences of doubt are likely global and enduring. In the U.S., climate change skeptics have achieved their fundamental goal of halting legislative action to combat global warming.

“That line between science communication and advocacy is very hard to step back from,”

It’s their very detachment, what you might call the cold-bloodedness of science, that makes science the killer app.

that need to fit in is so strong that local values and local opinions are always trumping science.

not a sin to change your mind when the evidence demands it.

for the best scientists, the truth is more important than the tribe.

Students come away thinking of science as a collection of facts, not a method.

Shtulman’s research has shown that even many college students don’t really understand what evidence is.

“Everybody should be questioning,” says McNutt. “That’s a hallmark of a scientist. But then they should use the scientific method, or trust people using the scientific method, to decide which way they fall on those questions.”

science has made us the dominant organisms,

incredibly rapid change, and it’s scary sometimes. It’s not all progress.

this widespread assumption—that meditation exists only for stress reduction and labor productivity, "because that's what Americans value"—narrows the scope of the scientific lens. When the time comes to develop hypotheses around the effects of meditation, the only acceptable—and fundable—research questions are the ones that promise to deliver the answers we want to hear.

the oscillations of spiritual life parallel the experience of learning to walk, very similar to the metaphor Saint John of the Cross uses in terms of a mother weaning a child … first you are held up by a parent and it is exhilarating and wonderful, and then they take their hands away and it is terrifying and the child feels abandoned."

while meditators can better avoid difficult experiences under the guidance of seasoned teachers, there are cases where such experiences are useful signs of progress in contemplative development. Distinguishing between the two, however, remains a challenge.

One of her team's preliminary tasks—a sort of archeological literature review—was to pore through the written canons of Theravadin, Tibetan, and Zen Buddhism, as well as texts within Christianity, Judaism, and Sufism. "Not every text makes clear reference to a period of difficulty on the contemplative path," Britton says, "but many did." Related Story What Happens to the Brain During Spiritual Experiences?

"Does it promote good relationships? Does it reduce cortisol? Does it help me work harder?" asks Britton, referencing these more lucrative questions. Because studies have shown that meditation does satisfy such interests, the results, she says, are vigorously reported to the public. "But," she cautions, "what about when meditation plays a role in creating an experience that then leads to a breakup, a psychotic break, or an inability to focus at work?"

Given the juggernaut—economic and otherwise—behind the mindfulness movement, there is a lot at stake in exploring a shadow side of meditation. Upton Sinclair once observed how difficult it is to get a man to understand something when his salary depends on his not understanding it.

Among the nearly 40 dark night subjects her team has formally interviewed over the past few years, she says most were "fairly out of commission, fairly impaired for between six months [and] more than 20 years."

The Dark Night Project is young, and still very much in progress. Researchers in the field are just beginning to carefully collect and sort through the narratives of difficult meditation-related experiences. Britton has presented her findings at major Buddhist and scientific conferences, prominent retreat centers, and even to the Dalai Lama at the 24th Mind and Life Dialogue in 2012.

"There are parts of me that just want meditation to be all good. I find myself in denial sometimes, where I just want to forget all that I've learned and go back to being happy about mindfulness and promoting it, but then I get another phone call and meet someone who's in distress, and I see the devastation in their eyes, and I can't deny that this is happening. As much as I want to investigate and promote contemplative practices and contribute to the well-being of humanity through that, I feel a deeper commitment to what's actually true."

One central problem for artificial intelligence is how to get aboutness into computer programs – how to get semantics out of syntactics.

Visual experience is beyond merely having certain physical inputs in the forms of light waves, undergoing certain transformations in the brain and producing physical outputs such as speaking the sentence “There is something red.”

He needs to explain how he thinks a computational account can be provided of qualia; or he needs to abandon a qualia-based account of experience, in favour of some computational account; or he needs to abandon his conclusion that there is no objection in principle to a purely computational account of the mind.