Group items tagged

“The Dictator’s Practical Internet Guide to Power Retention,” is a compilation of tips, gleaned from the experiences of leaders in China, Singapore, Russia, Iran, Pakistan, and other countries, that illustrate just how brutal the modern, connected world can be for a tyrant.

Recep Tayyip Erdoğan, recently said that “this thing called social media is a curse on societies.”

n Syria, President Bashar al-Assad has proved canny online. Blackouts have shut down the Internet at various moments in the past two years

The state news agency blamed one blackout, in May, on “a malfunctioning fibre-optic cable,” but it was not lost on many that it was timed near a vote on a U.N. resolution on Syria.

Does it matter if this is a kind of misinformation? What does a social-media company do when a user known to be attacking civilians is blasting out feel-good content?

But she explained that, generally speaking, if a user created content that promoted violence, Instagram would remove it and possibly disable the user. Schumer stressed the importance of the context of the image in making those calls—a caption might make an image threatening, for instance—but also said that “context” is generally limited to content on the site.

And yet, even within that complex framework, what does it mean to follow a man strongly suggested to be a war criminal, to have a virtual shrine to a dictators’ glory that can fit in our pockets?

ways of working are critical in mathematical work and when they are taught and valued, many more students contribute, leading to higher achievement

mathematics education we suffer from the widespread, distinctly American idea that only some people can be “math people.” This idea has been disproved by scientific research showing the incredible potential of the brain to grow and adapt. But the idea that math is hard, uninteresting, and accessible only to “nerds” persists. 

harsh stereotypical thinking—mathematics is for select racial groups and men. This thinking, as well as the teaching practices that go with it, have provided the perfect conditions for the creation of a math underclass.

online platform explaining research evidence on ability and the brain and on good mathematics teaching, for teachers and parents. The course had a transformative effect. It was taken by 40,000 people, and 95 percent said they would change their teaching or parenting as a result.

does not simply test a mathematical definition, as the first does. It requires that students visualize a triangle, use transformational geometry, consider whether different cases satisfy the mathematical definition, and then justify their thinking.

There is a good reason for this: Justification and reasoning are two of the acts that lie at the heart of mathematics. They are, in many ways, the essence of what mathematics is.  Scientists work to prove or disprove new theories by finding many cases that work or counter-examples that do not. Mathematicians, by contrast prove the validity of their propositions through justification and reasoning.

The young people who are successful in today’s workforce are those who can discuss and reason about productive mathematical pathways, and who can be wrong, but can trace back to errors and work to correct them.

American idea that those who are good at math are those who are fast. Speed is revered in math classes across the U.S., and students as young as five years old are given timed tests—even though these have been shown to create math anxiety in young children. Parents use flash cards and other devices to promote speed, not knowing that they are probably damaging their children’s mathematical development

The fact of being quick or slow isn't really relevant

gives more time for depth and exploration than the curricula it has replaced by removing some of the redundant methods students will never need or use.

Numerous environmental statutes mandate that government agencies consider “the best available science” when making decisions. And agencies routinely consult with scientific experts to fullfill such mandates.

Such provisions work reasonably well when science offers clear and simple, black-and-white answers. But when there is uncertainty, is the expectation of scientific objectivity realistic?

To gain insight into what role bias may play in listing decisions, we surveyed a group of grizzly bear researchers. We found that experts’ judgments were associated with a number of factors outside the “best commercial and scientific data,” including their professional affiliations and social norms. Furthermore, we found that while there is no consensus in the scientific community regarding the threats to grizzly bears, the majority of scientists support continued listing.

It doesn’t help that the Trump administration is rapidly stripping away as many regulations as it can, promising to repeal two for every new one implemented — an ultra-wealthy administration’s attempt to formalize the plutocratic free-for-all that has followed decades of growing corporate power, defined by massive income inequality, regulatory capture, a revolving door between agencies and the industries they oversee, and steadily eroding consumer rights. The empowered consumer is a figment of our imagination.

Experiences that used to be standardized are being divided into tiers denoting various rights, access and costs. The result is to both pit consumers against one another — as they compete for a limited pool of guaranteed seats on an airplane, for example — and to extract more money out of better-heeled customers.

If we violate any of the strictures of the contract we’ve implicitly signed by buying a ticket, then the airline — backed with the imprimatur of state authority, perhaps even with the help of local police — has every right to remove us from the plane without apology.

Survey the economic landscape and you’re likely to find similarly scrambled power relationships. During the foreclosure crisis, banks acted like arms of the state, with local sheriffs becoming the banking industry’s eviction force. Health insurers dictate access to health care for millions while a small coterie of chief executives reaps huge payouts. The telecommunications industry has consolidated into a handful of industry behemoths that maintain regional monopolies

The result is a lack of competition and slow, pricey service

Increasingly we’re not just paying more for less; we are sacrificing our privacy rights in the process, as personal data has become a huge driver of the digital economy

Those are the economic costs of this arrangement. The social and cultural costs are harder to define but no less important. As Sandel explains, common experiences become increasingly fragmented and subjected to the vicissitudes of the market: “At a time of rising inequality, the marketization of everything means that people of affluence and people of modest means lead increasingly separate lives. We live and work and shop and play in different places. Our children go to different schools.”

traditionally guaranteed rights become more contingent and benefits accrue to the wealthy.

We get what we pay for, which increasingly means whatever a company like United decides.

The first step seems to be establishing trust. Reputation.com monitors the Internet for potentially harmful information and tries to remove it, while the Locker Project looks to create a single place where users can find what they see and do online. On Connect.me, which is in a private testing period, users vouch for one another, confirming that, for instance, someone is indeed a basketball player or a bookworm in an attempt to create a credible online reputation.

In January the White House announced that it would work with Personal and several other companies to allow students to download their academic data from federal databases and store it in a data locker.

A study by JPMorgan Chase last year showed that a unique user was worth $4 to Facebook and $24 to Google. Others looked at Facebook’s recent filings with the Securities and Exchange Commission and placed the value of a user as high as $120.

The final barrier is that people may find creating detailed databases about themselves too onerous to justify the potential rewards. In order to create a real market for data, enough people need to see an immediate, tangible benefit in filling up their lockers, said Mr. Green of Personal.

At this point the idealist swooshes in: ladies and gentlemen, there is nothing but mind! There is no problem of interaction with matter because matter is mere illusion

idealism has its charms but taking it seriously requires an antipathy to matter bordering on the maniacal. Are we to suppose that material reality is just a dream, a baseless fantasy, and that the Big Bang was nothing but the cosmic spirit having a mental sneezing fit?

pan­psychism: even the lowliest of material things has a streak of sentience running through it, like veins in marble. Not just parcels of organic matter, such as lizards and worms, but also plants and bacteria and water molecules and even electrons. Everything has its primitive feelings and minute allotment of sensation.

The trouble with panpsychism is that there just isn't any evidence of the universal distribution of consciousness in the material world.

it occurred to me that the problem might lie not in nature but in ourselves: we just don't have the faculties of comprehension that would enable us to remove the sense of mystery. Ontologically, matter and consciousness are woven intelligibly together but epistemologically we are precluded from seeing how. I used Noam Chomsky's notion of "mysteries of nature" to describe the situation as I saw it. Soon, I was being labelled (by Owen Flanagan) a "mysterian"

The more we know of the brain, the less it looks like a device for creating consciousness: it's just a big collection of biological cells and a blur of electrical activity - all machine and no ghost.

mystery is quite pervasive, even in the hardest of sciences. Physics is a hotbed of mystery: space, time, matter and motion - none of it is free of mysterious elements. The puzzles of quantum theory are just a symptom of this widespread lack of understanding

The human intellect grasps the natural world obliquely and glancingly, using mathematics to construct abstract representations of concrete phenomena, but what the ultimate nature of things really is remains obscure and hidden. How everything fits together is particularly elusive, perhaps reflecting the disparate cognitive faculties we bring to bear on the world (the senses, introspection, mathematical description). We are far from obtaining a unified theory of all being and there is no guarantee that such a theory is accessible by finite human intelligence.

real naturalism begins with a proper perspective on our specifically human intelligence. Palaeoanthropologists have taught us that the human brain gradually evolved from ancestral brains, particularly in concert with practical toolmaking, centring on the anatomy of the human hand. This history shaped and constrained the form of intelligence now housed in our skulls (as the lifestyle of other species form their set of cognitive skills). What chance is there that an intelligence geared to making stone tools and grounded in the contingent peculiarities of the human hand can aspire to uncover all the mysteries of the universe? Can omniscience spring from an opposable thumb? It seems unlikely, so why presume that the mysteries of consciousness will be revealed to a thumb-shaped brain like ours?

The "mysterianism" I advocate is really nothing more than the acknowledgment that human intelligence is a local, contingent, temporal, practical and expendable feature of life on earth - an incremental adaptation based on earlier forms of intelligence that no one would reg

rd as faintly omniscient. The current state of the philosophy of mind, from my point of view, is just a reflection of one evolutionary time-slice of a particular bipedal species on a particular humid planet at this fleeting moment in cosmic history - as is everything else about the human animal. There is more ignorance in it than knowledge.

This will not stop Google from gathering data when you search. To do that you would need to block Google cookies completely. However, while it will still gather the data, Google will not use it to serve targeted ads or do anything other than use it for internal purposes. Also, with Web History disabled, your data is at least partially anonymized after 18 months (if you leave Web History on, Google will keep your search records indefinitely).

First sign into your Google account and head to the history page. Click the button labeled Remove all Web History. Then click Okay to confirm. Note that this also pauses your web history going forward, and Google won't start listening to your history again unless you let it.

in this case, however, a little time spent changing your settings can provide invaluable peace of mind knowing that Google can't exploit your personal tendencies for its own purposes.

On the negative side, bear in mind that while this won't prevent Google from making search suggestions, it will prevent you from getting personalized suggestions based on your previous searches.

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.

imagine that in the future scientists will be able to map and decode all your mental states with arbitrary precision. They could then predict what you will do before you are aware of your choice.

the experiments in question here are limited to decisions that are far removed from the truly complex choices we make in our lives, those that involve a lot of back and forth thinking, prompt confusion, result in pondering, require talking to other people and generally take time to arrive at a conclusion

When it comes to the choices we make in life, there is a spectrum of complexity and this is reflected in the issue of free will. Some do indeed happen before conscious awareness, and others don't.

it’s our folly to assume we know very much at all. There’s “a highly objectionable word,” he writes, “which should be removed from our vocabulary in discussions of major events,” and that word is “knew.”

Whatever the field of our expertise, most of us realize that the more data we acquire, the less, very often, we know. The universe is not a fixed sum, in which the amount you know subtracts from the amount you don’t.

She identifies herself as having just started her second postdoc in the lab of the adviser trying to look down her shirt. A postdoctoral researcher already has a Ph.D., and frequently has her own funding, but does not yet have a permanent position or the institutional affiliation and (relative) job security that goes with it

Postdocs rely on the forbearance of an adviser who gives them lab space (and usually some other resources), an institutional affiliation, and, one hopes, some mentoring in how to succeed as a member of their scientific community.

terrible advice

postdoc wants an adviser that engages her as a scientist, someone committed to helping her gain both the competence and the confidence to become a full-fledged colleague in the scientific community. These are not goals that are fostered when the adviser regularly tries to look down the postdoc’s shirt.

Huang’s column suggested that, because workplaces are part of life, they are also places where we ought to expect people’s libido to influence their behavior. She wrote, “the kind of behavior you mention is common in the workplace.”

postdoc may have more power than a graduate student, she has significantly less power than her adviser, especially given the importance of networking in building one’s scientific reputation, establishing future collaborations, and locating a permanent position.

Huang offered her opinion that the adviser in question had not crossed that legal line. On that basis, Huang argued that even though leering is inappropriate workplace behavior, the postdoc should “put up with it, with good humor if you can.”

It matters not a whit whether the behavior rises to the level of unlawful sexual harassment. It

Telling this early career scientist to grin and bear unprofessional behavior from her adviser, rather than doing something to mitigate it, leaves her stuck in a professional relationship where it may never be possible to engage the adviser’s scientific interest without concerns about engaging his carnal interest

It will be hard to get mentoring without wondering if there are unspoken strings attached.

It will be hard for the postdoc to believe her adviser sees her as a colleague — or for her to see herself as one

So “Bothered” probably doesn’t want to confront her adviser in a way that comes across as accusing, and she should almost certainly have back-up from someone else in her scientific community with enough power to protect her

If it doesn’t look like there’s a reasonable way to ask the adviser to stop without repercussions, the postdoc’s confidants can help her develop an escape plan so “Bothered” can receive the mentoring (and salary and benefits) she needs without the hassle of an adviser’s unprofessional behavior.

The good news is that timing is relatively controllable, especially in the long run.

If you’re just starting out in your career, it won’t be easy to find a job that gives you a flexible schedule. The best approach is a strategy of moving toward more flexibility over the course of your life.

There isn’t one formula for finding schedule flexibility. Just make sure all of your important decisions are consistent with an end game of a more flexible schedule. Otherwise you are shutting yourself off from the most accessible lever for happiness — timing.

if you knew that pasta is far lower on the glycemic index than a white potato, you would make a far healthier choice that requires no willpower at all. All it took was knowledge.

The most important thing to know about staying fit is this: If it takes willpower, you’re doing it wrong. Anything that requires willpower is unsustainable in the long run.

studies show that using willpower in one area diminishes how much willpower you have in reserve for other areas. You need to get willpower out of the system

My observation is that you can usually replace willpower with knowledge.

the trick for avoiding unhealthy foods is to make sure you always have access to healthy options that you enjoy eating. Your knowledge of this trick, assuming you use it, makes willpower far less necessary.

don’t give up too much income potential just to get a flexible schedule. There’s no point in having a flexible schedule if you can’t afford to do anything.

the fittest people have systems, not goals, unless they are training for something specific. A sensible system is to continuously learn more about the science of diet and the methods for making healthy food taste great. With that system, weight management will feel automatic. Goals aren’t needed.

Did you know that sleepiness causes you to feel hungry?

Did you know that eating peanuts is a great way to suppress appetite?

Did you know that eating mostly protein instead of simple carbs for lunch will help you avoid the afternoon energy slump?

Cheese adds calories, but the fat content will help suppress your appetite, so you probably come out ahead. If you didn’t already know that, you might end up using willpower to avoid cheese at dinner and willpower again later that night to resist snacking. A little knowledge replaces a lot of willpower.

Did you know that exercise has only a small impact on your weight?

after I started noticing how drained and useless I felt after eating simple carbs, french fries became easy to resist.

I also learned that I can remove problem foods from my diet if I target them for extinction one at a time. It was easy to stop eating three large Snickers every day (which I was doing) when I realized I could eat anything else I wanted whenever I wanted

If you’re on a diet, you’re probably trying to avoid certain types of food, but you’re also trying to limit your portions. Instead of waging war on two fronts, try allowing yourself to eat as much as you want of anything that is healthy.

healthier food is almost self-regulating in the sense that you don’t have an insatiable desire to keep eating it the way you might with junk food. With healthy food, you tend to stop when you feel full

One of the biggest obstacles to healthy eating is the impression that healthy food generally tastes like cardboard. So consider making it a lifelong system to learn how to season and prepare healthy foods

Did you know that eating simple carbs can make you hungrier?

’m limiting my portion size. You only need to do that if you are eating the wrong foods. Eating half of your cake still keeps you addicted to cake. And portion control takes a lot of willpower. You’ll find that healthy food satisfies you sooner, so you don’t crave large portions.

No one can exercise enough to overcome a bad diet. Diet is the right button to push for losing weight, so long as you are active. People who eat right and stay active usually have no problems with weight.

I’m about to share with you the simplest and potentially most effective exercise plan in the world. Here it is: Be active every day.

When you’re active, and you don’t overdo it, you’ll find yourself in a good mood afterward. That reward becomes addictive over time.

After a few months of being moderately active every day, you’ll discover that it is harder to sit and do nothing than it is to get up and do something. That’s the frame of mind you want. You want exercise to become a habit with a reward so it evolves into a useful addiction

the intensity of your workout has a surprisingly small impact on your weight unless you’re running half-marathons every week. If your diet is right, moderate exercise is all you need.

When your body is feeling good, and you have some flexibility in your schedule, you’ll find that the petty annoyances that plague your life become nothing but background noise. And that’s a great launch pad for happiness.

As you find yourself getting healthier and happier, the people in your life will view you differently too. Healthy-looking people generally earn more money, get more offers and enjoy a better social life. All of that will help your happiness.

Keep in mind that happiness is a directional phenomenon. We feel happy when things are moving in the right direction no matter where we are at the moment.

60 percent of disrespectful behavior came from above, 20 percent from colleagues on the same level and 20 percent from below. And half said they decreased their effort on the job after experiencing ongoing rude behavior

The purpose of the surgery was to remove electrodes that had previously been implanted in the patients’ brains to monitor seizures. But before they were taken out, the electrodes enabled the researchers to study the activity of individual neurons in the cortex, in addition to large-scale brain activity from EEG recordings.

importance of communication between discrete groups of neurons, both within the cortex and across brain regions, is analogous to a band playing music, said George Mashour, a neuroscientist and anesthesiologist at the University of Michigan, Ann Arbor. “You need musical information to come together either in time or space to really make sense,”

“Consciousness and cognitive activity may be similar. If different areas of the brain aren’t in synch or if a critical area that normally integrates cognitive activity isn’t functioning, you could be rendered unconscious.”

, Purdon and colleagues were able to discern a more detailed neural signature of loss of unconsciousness, this time by using EEG alone. Monitoring brain activity in healthy patients for 2 hours as they underwent propofol-induced anesthesia, they observed that as responsiveness fades, high-frequency brain waves (12–35 hertz) rippling across the cortex and the thalamus were replaced by two different brain waves superimposed on top on one another: a low-frequency (<1 hertz) wave and an alpha frequency (8–12 hertz) wave. “These two waves pretty much come at loss of consciousness,”

“We’ve started to teach our anesthesiologists how to read this signature on the EEG”

Anesthesia is not the only state in which consciousness is lost, of course

o measure the gradual breakdown of connectivity between neural networks during natural REM sleep and anesthesia, as well as in brain-injured, unresponsive patients. Using an electromagnetic coil to activate neurons in a small patch of the human cortex, then recording EEG output to track the propagation of those signals to other neuronal groups, the researchers can measure the connectivity between collections of neurons in the cortex and other brain regions.

minimally conscious patients, the magnetically stimulated signals propagated fairly far and wide, occasionally reaching distant cortical areas, much like activations seen in locked-in but conscious patients. In patients in a persistent vegetative state, on the other hand, propagation was severely limited—a breakdown of connectivity similar to that observed in previous tests of anesthetized patients. What’s more, in three vegetative patients that later recovered consciousness, the test picked up signs of increased connectivity before clinical signs of improvement became evident.

“I think understanding consciousness itself is going to help us find successful [measurement] approaches that are universally applicable,” said Pearce.

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.’’

Since at least the Middle Ages, philosophers and philologists have dreamed of curing natural languages of their flaws by constructing entirely new idioms according to orderly, logical principles.

What if, they wondered, you could create a universal written language that could be understood by anyone, a set of “real characters,” just as the creation of Arabic numerals had done for counting? “This writing will be a kind of general algebra and calculus of reason, so that, instead of disputing, we can say that ‘we calculate,’ ” Leibniz wrote, in 1679.

nventing new forms of speech is an almost cosmic urge that stems from what the linguist Marina Yaguello, the author of “Lunatic Lovers of Language,” calls “an ambivalent love-hate relationship.” Language creation is pursued by people who are so in love with what language can do that they hate what it doesn’t. “I don’t believe any other fantasy has ever been pursued with so much ardor by the human spirit, apart perhaps from the philosopher’s stone or the proof of the existence of God; or that any other utopia has caused so much ink to flow, apart perhaps from socialism,”

Quijada began wondering, “What if there were one single language that combined the coolest features from all the world’s languages?”

Solresol, the creation of a French musician named Jean-François Sudre, was among the first of these universal languages to gain popular attention. It had only seven syllables: Do, Re, Mi, Fa, So, La, and Si. Words could be sung, or performed on a violin. Or, since the language could also be translated into the seven colors of the rainbow, sentences could be woven into a textile as a stream of colors.

“I had this realization that every individual language does at least one thing better than every other language,” he said. For example, the Australian Aboriginal language Guugu Yimithirr doesn’t use egocentric coördinates like “left,” “right,” “in front of,” or “behind.” Instead, speakers use only the cardinal directions. They don’t have left and right legs but north and south legs, which become east and west legs upon turning ninety degrees

Among the Wakashan Indians of the Pacific Northwest, a grammatically correct sentence can’t be formed without providing what linguists refer to as “evidentiality,” inflecting the verb to indicate whether you are speaking from direct experience, inference, conjecture, or hearsay.

In his “Essay Towards a Real Character, and a Philosophical Language,” from 1668, Wilkins laid out a sprawling taxonomic tree that was intended to represent a rational classification of every concept, thing, and action in the universe. Each branch along the tree corresponded to a letter or a syllable, so that assembling a word was simply a matter of tracing a set of forking limbs

he started scribbling notes on an entirely new grammar that would eventually incorporate not only Wakashan evidentiality and Guugu Yimithirr coördinates but also Niger-Kordofanian aspectual systems, the nominal cases of Basque, the fourth-person referent found in several nearly extinct Native American languages, and a dozen other wild ways of forming sentences.

he discovered “Metaphors We Live By,” a seminal book, published in 1980, by the cognitive linguists George Lakoff and Mark Johnson, which argues that the way we think is structured by conceptual systems that are largely metaphorical in nature. Life is a journey. Time is money. Argument is war. For better or worse, these figures of speech are profoundly embedded in how we think.

I asked him if he could come up with an entirely new concept on the spot, one for which there was no word in any existing language. He thought about it for a moment. “Well, no language, as far as I know, has a single word for that chin-stroking moment you get, often accompanied by a frown on your face, when someone expresses an idea that you’ve never thought of and you have a moment of suddenly seeing possibilities you never saw before.” He paused, as if leafing through a mental dictionary. “In Ithkuil, it’s ašţal.”

Neither Sapir nor Whorf formulated a definitive version of the hypothesis that bears their names, but in general the theory argues that the language we speak actually shapes our experience of reality. Speakers of different languages think differently. Stronger versions of the hypothesis go even further than this, to suggest that language constrains the set of possible thoughts that we can have. In 1955, a sociologist and science-fiction writer named James Cooke Brown decided he would test the Sapir-Whorf hypothesis by creating a “culturally neutral” “model language” that might recondition its speakers’ brains.

most conlangers come to their craft by way of fantasy and science fiction. J. R. R. Tolkien, who called conlanging his “secret vice,” maintained that he created the “Lord of the Rings” trilogy for the primary purpose of giving his invented languages, Quenya, Sindarin, and Khuzdul, a universe in which they could be spoken. And arguably the most commercially successful invented language of all time is Klingon, which has its own translation of “Hamlet” and a dictionary that has sold more than three hundred thousand copies.

He imagined that Ithkuil might be able to do what Lakoff and Johnson said natural languages could not: force its speakers to precisely identify what they mean to say. No hemming, no hawing, no hiding true meaning behind jargon and metaphor. By requiring speakers to carefully consider the meaning of their words, he hoped that his analytical language would force many of the subterranean quirks of human cognition to the surface, and free people from the bugs that infect their thinking.

Brown based the grammar for his ten-thousand-word language, called Loglan, on the rules of formal predicate logic used by analytical philosophers. He hoped that, by training research subjects to speak Loglan, he might turn them into more logical thinkers. If we could change how we think by changing how we speak, then the radical possibility existed of creating a new human condition.

today the stronger versions of the Sapir-Whorf hypothesis have “sunk into . . . disrepute among respectable linguists,” as Guy Deutscher writes, in “Through the Looking Glass: Why the World Looks Different in Other Languages.” But, as Deutscher points out, there is evidence to support the less radical assertion that the particular language we speak influences how we perceive the world. For example, speakers of gendered languages, like Spanish, in which all nouns are either masculine or feminine, actually seem to think about objects differently depending on whether the language treats them as masculine or feminine

The final version of Ithkuil, which Quijada published in 2011, has twenty-two grammatical categories for verbs, compared with the six—tense, aspect, person, number, mood, and voice—that exist in English. Eighteen hundred distinct suffixes further refine a speaker’s intent. Through a process of laborious conjugation that would befuddle even the most competent Latin grammarian, Ithkuil requires a speaker to home in on the exact idea he means to express, and attempts to remove any possibility for vagueness.

Every language has its own phonemic inventory, or library of sounds, from which a speaker can string together words. Consonant-poor Hawaiian has just thirteen phonemes. English has around forty-two, depending on dialect. In order to pack as much meaning as possible into each word, Ithkuil has fifty-eight phonemes. The original version of the language included a repertoire of grunts, wheezes, and hacks that are borrowed from some of the world’s most obscure tongues. One particular hard-to-make clicklike sound, a voiceless uvular ejective affricate, has been found in only a few other languages, including the Caucasian language Ubykh, whose last native speaker died in 1992.

Human interactions are governed by a set of implicit codes that can sometimes seem frustratingly opaque, and whose misreading can quickly put you on the outside looking in. Irony, metaphor, ambiguity: these are the ingenious instruments that allow us to mean more than we say. But in Ithkuil ambiguity is quashed in the interest of making all that is implicit explicit. An ironic statement is tagged with the verbal affix ’kçç. Hyperbolic statements are inflected by the letter ’m.

“I wanted to use Ithkuil to show how you would discuss philosophy and emotional states transparently,” Quijada said. To attempt to translate a thought into Ithkuil requires investigating a spectrum of subtle variations in meaning that are not recorded in any natural language. You cannot express a thought without first considering all the neighboring thoughts that it is not. Though words in Ithkuil may sound like a hacking cough, they have an inherent and unavoidable depth. “It’s the ideal language for political and philosophical debate—any forum where people hide their intent or obfuscate behind language,” Quijada co

In Ithkuil, the difference between glimpsing, glancing, and gawking is the mere flick of a vowel. Each of these distinctions is expressed simply as a conjugation of the root word for vision. Hunched over the dining-room table, Quijada showed me how he would translate “gawk” into Ithkuil. First, though, since words in Ithkuil are assembled from individual atoms of meaning, he had to engage in some introspection about what exactly he meant to say.For fifteen minutes, he flipped backward and forward through his thick spiral-bound manuscript, scratching his head, pondering each of the word’s aspects, as he packed the verb with all of gawking’s many connotations. As he assembled the evolving word from its constituent meanings, he scribbled its pieces on a notepad. He added the “second degree of the affix for expectation of outcome” to suggest an element of surprise that is more than mere unpreparedness but less than outright shock, and the “third degree of the affix for contextual appropriateness” to suggest an element of impropriety that is less than scandalous but more than simply eyebrow-raising. As he rapped his pen against the notepad, he paged through his manuscript in search of the third pattern of the first stem of the root for “shock” to suggest a “non-volitional physiological response,” and then, after several moments of contemplation, he decided that gawking required the use of the “resultative format” to suggest “an event which occurs in conjunction with the conflated sense but is also caused by it.” He eventually emerged with a tiny word that hardly rolled off the tongue: apq’uxasiu. He spoke the first clacking syllable aloud a couple of times before deciding that he had the pronunciation right, and then wrote it down in the script he had invented for printed Ithkuil:

“You can make up words by the millions to describe concepts that have never existed in any language before,” he said.

Many conlanging projects begin with a simple premise that violates the inherited conventions of linguistics in some new way. Aeo uses only vowels. Kēlen has no verbs. Toki Pona, a language inspired by Taoist ideals, was designed to test how simple a language could be. It has just a hundred and twenty-three words and fourteen basic sound units. Brithenig is an answer to the question of what English might have sounded like as a Romance language, if vulgar Latin had taken root on the British Isles. Láadan, a feminist language developed in the early nineteen-eighties, includes words like radíidin, defined as a “non-holiday, a time allegedly a holiday but actually so much a burden because of work and preparations that it is a dreaded occasion; especially when there are too many guests and none of them help.”

“We think that when a person learns Ithkuil his brain works faster,” Vishneva told him, in Russian. She spoke through a translator, as neither she nor Quijada was yet fluent in their shared language. “With Ithkuil, you always have to be reflecting on yourself. Using Ithkuil, we can see things that exist but don’t have names, in the same way that Mendeleyev’s periodic table showed gaps where we knew elements should be that had yet to be discovered.”

Lakoff, who is seventy-one, bearded, and, like Quijada, broadly built, seemed to have read a fair portion of the Ithkuil manuscript and familiarized himself with the language’s nuances.“There are a whole lot of questions I have about this,” he told Quijada, and then explained how he felt Quijada had misread his work on metaphor. “Metaphors don’t just show up in language,” he said. “The metaphor isn’t in the word, it’s in the idea,” and it can’t be wished away with grammar.“For me, as a linguist looking at this, I have to say, ‘O.K., this isn’t going to be used.’ It has an assumption of efficiency that really isn’t efficient, given how the brain works. It misses the metaphor stuff. But the parts that are successful are really nontrivial. This may be an impossible language,” he said. “But if you think of it as a conceptual-art project I think it’s fascinating.”

As I’ve noted elsewhere, what was fascinating about the “Mission: Impossible III” anecdote is that the Chinese censors weren’t always worried about heterodox ideas — a plea for freedom of speech or gay rights, say — but simply looking bad, losing face. The treatment of art as nothing more than a means of transforming the perception of China has a long and storied history under the communist regime.

“Likewise, [Hu] opposed the party’s dictum that ‘bright things’ be emphasized and elements of backwardness and darkness be de-emphasized,”

what does it say about our society when we pass about freely the details of our personal lives with an audience of several hundred -- in some cases, thousands -- of onlookers, many of whom we barely like or even know? Indeed, many of these Facebook "friends" are genuine friends, lovers, family. Surely worthy of our trust. But how many of your Facebook "friends" are opportunistic voyeurs who remain your "friend" only to retain access to your world, far removed from any direct, meaningful, personal interaction?

I fear for the day when your dissociation from the physical exposes the fact that your online "community" is no substitute for genuine, human companionship and intimacy.