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Most human vices have enough sense to be very, very tempting. Lust, gluttony, sloth, hurling powerful if unimaginative expletives at a member of the political opposition, buying a pair of Thierry Rabotin snakeskin printed shoes at 25 percent off even though you just bought a pair of cherry-red slingbacks last week — all these things feel awfully good to indulge in, which is why people must be repeatedly abjured not to.

One vice, however, dispenses with any hedonic trappings and instead feels so painful you would think it was a virtue, except that there’s no gain in lean muscle mass at the end: envy. Skulking at sixth place on traditional lists of the seven deadly sins, right between wrath and pride, envy is the deep, often hostile resentment you feel toward somebody who has something you want, like wealth, beauty, a promotion or the admiration of peers. It is a vice few can avoid yet nobody craves, for to experience envy is to feel small and inferior, a loser shrink-wrapped in spite.

“Envy is corrosive and ugly, and it can ruin your life,” said Richard H. Smith, a professor of psychology at the University of Kentucky who has written about envy. “If you’re an envious person, you have a hard time appreciating a lot of the good things that are out there, because you’re too busy worrying about how they reflect on the self.”

Now researchers are gleaning insights into the neural and evolutionary underpinnings of envy, and why it can feel like a bodily illness or a physical blow. They’re also tracing the pathway of envy’s equally petty foil, the sensation of schadenfreude — taking pleasure when those whom you envied are themselves brought down low.

Reporting in the current issue of the journal Science, researchers at the National Institute of Radiological Sciences in Japan and their colleagues described brain-scanning studies of subjects who were told to imagine themselves as protagonists in social dramas with characters of greater or lesser status or achievement. When confronting characters that the participants admitted to envying, brain regions involved in registering physical pain were aroused: the higher the subjects rated their envy, the more vigorously flared the pain nodes in the brain’s dorsal anterior cingulate cortex and related areas.

Conversely, the researchers said, when subjects were given a chance to imagine the golden one’s downfall, the brain’s reward circuits were activated, again in proportion to the strength of envy’s sting: the subjects who felt the greatest envy the first time around reacted to news of their rival’s misfortune with a comparatively livelier response in the dopamine-rich pleasure centers of, for example, the ventral striatum. “We have a saying in Japanese, ‘The misfortunes of others are the taste of honey,’ ” said Hidehiko Takahashi, the first author on the report. “The ventral striatum is processing that ‘honey.’ ”

Matthew D. Lieberman of the psychology department at the University of California, Los Angeles, who co-wrote a commentary that accompanies the report, said he was impressed by how the neural correlates of envy and schadenfreude were tied together, with the magnitude of one predicting the strength of the other. “This is the way other needs-processing systems like hunger and thirst work,” he said. “The hungrier or thirstier that you feel, the more pleasurable it is when you finally eat or drink.”

The new findings are preliminary, and some scientists have expressed reservations about what they or other scanning results from the fast-moving field of behavioral neuroscience really mean. Nevertheless, the research throws a spotlight on a potent emotion that we deny or deride but ignore at our peril. Much of the recent economic crisis, Dr. Smith suggested, may well have been fueled by runaway envy, as financiers competed to avoid the shame of being a “mere” millionaire.

Envy can be seen in other social animals with personal reputations to defend. Frans de Waal of the Yerkes National Primate Research Center in Atlanta noted that monkeys were perfectly happy to work for cucumber slices until a person started giving one monkey a preferred treat like grapes. Then the others stopped working for cucumbers and started nursing a grudge. “The underlying emotion is likely envy or resentment,” Dr. de Waal said.

When children realize they have siblings, their lives become dominated by the calipers of envy. Why does she always get to sit by the window? His cupcake has more sprinkles! No siblings? No problem: you can envy the cat.

Researchers often distinguish between envy and the jealousy you feel by, say, seeing a loved one flirt at a party. Jealousy is a triangle, Dr. Smith said, in which you fear losing a loved one to the embrace of another. Envy is a two-bodied affair, an arrow proceeding from your covetous breast to the heart of the well-endowed Other. Yet envy is restless and gregarious and can embrace popular cliques, honor rolls and entire nation-states. “It’s a fact of life that we pay close attention to status, to who’s doing well and who isn’t and how we stand in comparison to others,” said Colin W. Leach, an associate professor of psychology at the University of Connecticut, in Storrs, who studies envy.

As a rule, we envy those who are like us in most ways — in sex, age, class and curriculum vitae. Potters envy potters, Aristotle observed.

Paradoxically, this most socially driven of emotions is among the least socially acceptable to confess to. Jealous hostility toward a romantic rival is an acceptable topic for conversation. Envious hostility toward a professional rival is more like an embarrassing body function: please do not share. When asked by researchers about their envy, study participants have said, “I’m privately ashamed of myself.”

As evolutionary scientists see it, envy’s salient features — its persistence and universality, its fixation with social status and the fact that it cohabits with shame — suggest that it serves a deep social role. They propose that our invidious impulses may help explain why humans are comparatively less hierarchical than many primate species, more prone to a rough egalitarianism and to rebelling against kings and tycoons who hog more than their fair share.

Envy may also help keep us in line, making us so desperate to look good that we take the high road and start to act good, too. We struggle with our private envy, our longing for more esteem than we command, and the struggle only sharpens the painful contrast between the imagined perfection of the envied adversary that we have enshrined on an imaginary throne, and the defective merchandise that is ourselves.

“If you desire glory, you may envy Napoleon,” Bertrand Russell said. “But Napoleon envied Caesar, Caesar envied Alexander, and Alexander, I daresay, envied Hercules, who never existed.” If envy is a tax levied by civilization, it is one that everyone must pay.

Natalie Angier
New York Times

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You are shopping in a busy supermarket and you’re ready to pay up and go home. You perform a quick visual sweep of the checkout options and immediately start ramming your cart through traffic toward an appealingly unpeopled line halfway across the store. As you wait in line and start reading nutrition labels, you can’t help but calculate that the 529 calories contained in a single slice of your Key lime cheesecake amounts to one-fourth of your recommended daily caloric allowance and will take you 90 minutes on the elliptical to burn off and you’d better just stick the thing behind this stack of Soap Opera Digests and hope a clerk finds it before it melts.

One shopping spree, two distinct number systems in play. Whenever we choose a shorter grocery line over a longer one, or a bustling restaurant over an unpopular one, we rally our approximate number system, an ancient and intuitive sense that we are born with and that we share with many other animals. Rats, pigeons, monkeys, babies — all can tell more from fewer, abundant from stingy. An approximate number sense is essential to brute survival: how else can a bird find the best patch of berries, or two baboons know better than to pick a fight with a gang of six?

When it comes to genuine computation, however, to seeing a self-important number like 529 and panicking when you divide it into 2,200, or realizing that, hey, it’s the square of 23! well, that calls for a very different number system, one that is specific, symbolic and highly abstract. By all evidence, scientists say, the capacity to do mathematics, to manipulate representations of numbers and explore the quantitative texture of our world is a uniquely human and very recent skill. People have been at it only for the last few millennia, it’s not universal to all cultures, and it takes years of education to master. Math-making seems the opposite of automatic, which is why scientists long thought it had nothing to do with our ancient, pre-verbal size-em-up ways.

Yet a host of new studies suggests that the two number systems, the bestial and celestial, may be profoundly related, an insight with potentially broad implications for math education.

One research team has found that how readily people rally their approximate number sense is linked over time to success in even the most advanced and abstruse mathematics courses. Other scientists have shown that preschool children are remarkably good at approximating the impact of adding to or subtracting from large groups of items but are poor at translating the approximate into the specific. Taken together, the new research suggests that math teachers might do well to emphasize the power of the ballpark figure, to focus less on arithmetic precision and more on general reckoning.

“When mathematicians and physicists are left alone in a room, one of the games they’ll play is called a Fermi problem, in which they try to figure out the approximate answer to an arbitrary problem,” said Rebecca Saxe, a cognitive neuroscientist at the Massachusetts Institute of Technology who is married to a physicist. “They’ll ask, how many piano tuners are there in Chicago, or what contribution to the ocean’s temperature do fish make, and they’ll try to come up with a plausible answer.”

“What this suggests to me,” she added, “is that the people whom we think of as being the most involved in the symbolic part of math intuitively know that they have to practice those other, nonsymbolic, approximating skills.”

This month in the journal Nature, Justin Halberda and Lisa Feigenson of Johns Hopkins University and Michele Mazzocco of the Kennedy Krieger Institute in Baltimore described their study of 64 14-year-olds who were tested at length on the discriminating power of their approximate number sense. The teenagers sat at a computer as a series of slides with varying numbers of yellow and blue dots flashed on a screen for 200 milliseconds each — barely as long as an eye blink. After each slide, the students pressed a button indicating whether they thought there had been more yellow dots or blue. (Take a version of the test.)

Given the antiquity and ubiquity of the nonverbal number sense, the researchers were impressed by how widely it varied in acuity. There were kids with fine powers of discrimination, able to distinguish ratios on the order of 9 blue dots for every 10 yellows, Dr. Feigenson said. “Others performed at a level comparable to a 9-month-old,” barely able to tell if five yellows outgunned three blues. Comparing the acuity scores with other test results that Dr. Mazzocco had collected from the students over the past 10 years, the researchers found a robust correlation between dot-spotting prowess at age 14 and strong performance on a raft of standardized math tests from kindergarten onward. “We can’t draw causal arrows one way or another,” Dr. Feigenson said, “but your evolutionarily endowed sense of approximation is related to how good you are at formal math.”

The researchers caution that they have no idea yet how the two number systems interact. Brain imaging studies have traced the approximate number sense to a specific neural structure called the intraparietal sulcus, which also helps assess features like an object’s magnitude and distance. Symbolic math, by contrast, operates along a more widely distributed circuitry, activating many of the prefrontal regions of the brain that we associate with being human. Somewhere, local and global must be hooked up to a party line.

Other open questions include how malleable our inborn number sense may be, whether it can be improved with training, and whether those improvements would pay off in a greater appetite and aptitude for math. If children start training with the flashing dot game at age 4, will they be supernumerate by middle school?

Dr. Halberda, who happens to be Dr. Feigenson’s spouse, relishes the work’s philosophical implications. “What’s interesting and surprising in our results is that the same system we spend years trying to acquire in school, and that we use to send a man to the moon, and that has inspired the likes of Plato, Einstein and Stephen Hawking, has something in common with what a rat is doing when it’s out hunting for food,” he said. “I find that deeply moving.”

Behind every great leap of our computational mind lies the pitter-patter of rats’ feet, the little squeak of rodent kind.

Natalie Angier
New York Times


Photo, New York Times (Vivienne Flesher)

To scientists, the simultaneous simplicity and complexity of mirrors make them powerful tools for exploring questions about perception and cognition in humans and other neuronally gifted species, and how the brain interprets and acts upon the great tides of sensory information from the external world. They are using mirrors to study how the brain decides what is self and what is other, how it judges distances and trajectories of objects, and how it reconstructs the richly three-dimensional quality of the outside world from what is essentially a two-dimensional snapshot taken by the retina’s flat sheet of receptor cells. They are applying mirrors in medicine, to create reflected images of patients’ limbs or other body parts and thus trick the brain into healing itself. Mirror therapy has been successful in treating disorders like phantom limb syndrome, chronic pain and post-stroke paralysis.

“In a sense, mirrors are the best ‘virtual reality’ system that we can build,” said Marco Bertamini of the University of Liverpool. “The object ‘inside’ the mirror is virtual, but as far as our eyes are concerned it exists as much as any other object.” Dr. Bertamini and his colleagues have also studied what people believe about the nature of mirrors and mirror images, and have found nearly everybody, even students of physics and math, to be shockingly off the mark.

Other researchers have determined that mirrors can subtly affect human behavior, often in surprisingly positive ways. Subjects tested in a room with a mirror have been found to work harder, to be more helpful and to be less inclined to cheat, compared with control groups performing the same exercises in nonmirrored settings. Reporting in the Journal of Personality and Social Psychology, C. Neil Macrae, Galen V. Bodenhausen and Alan B. Milne found that people in a room with a mirror were comparatively less likely to judge others based on social stereotypes about, for example, sex, race or religion.
“When people are made to be self-aware, they are likelier to stop and think about what they are doing,” Dr. Bodenhausen said. “A byproduct of that awareness may be a shift away from acting on autopilot toward more desirable ways of behaving.” Physical self-reflection, in other words, encourages philosophical self-reflection, a crash course in the Socratic notion that you cannot know or appreciate others until you know yourself…

The link between self-awareness and elaborate sociality may help explain why the few nonhuman species that have been found to recognize themselves in a mirror are those with sophisticated social lives. Our gregarious great ape cousins — chimpanzees, bonobos, orangutans and gorillas — along with dolphins and Asian elephants, have passed the famed mirror self-recognition test, which means they will, when given a mirror, scrutinize marks that had been applied to their faces or bodies. The animals also will check up on personal hygiene, inspecting their mouths, nostrils and genitals.

Yet not all members of a certifiably self-reflective species will pass the mirror test. Tellingly, said Diana Reiss, a professor of psychology at Hunter College who has studied mirror self-recognition in elephants and dolphins, “animals raised in isolation do not seem to show mirror self-recognition.”

For that matter, humans do not necessarily see the face in the mirror either. In a report titled “Mirror, Mirror on the Wall: Enhancement in Self-Recognition,” which appears online in The Personality and Social Psychology Bulletin, Nicholas Epley and Erin Whitchurch described experiments in which people were asked to identify pictures of themselves amid a lineup of distracter faces. Participants identified their personal portraits significantly quicker when their faces were computer enhanced to be 20 percent more attractive. They were also likelier, when presented with images of themselves made prettier, homelier or left untouched, to call the enhanced image their genuine, unairbrushed face. Such internalized photoshoppery is not simply the result of an all-purpose preference for prettiness: when asked to identify images of strangers in subsequent rounds of testing, participants were best at spotting the unenhanced faces.

Natalie Angier
New York Times

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Cat’s Eye nebula (NASA)

Change blindness [is] the frequent inability of our visual system to detect alterations to something staring us straight in the face. The changes needn’t be as modest as a switching of paint chips. At the same meeting…the audience failed to notice entire stories disappearing from buildings, or the fact that one poor chicken in a field of dancing cartoon hens had suddenly exploded. In an interview, Dr. Wolfe [of Harvard Medical School] also recalled a series of experiments in which pedestrians giving directions to a Cornell researcher posing as a lost tourist didn’t notice when, midway through the exchange, the sham tourist was replaced by another person altogether.

Beyond its entertainment value, symposium participants made clear, change blindness is a salient piece in the larger puzzle of visual attentiveness. What is the difference between seeing a scene casually and automatically, as in, you’re at the window and you glance outside at the same old streetscape and nothing registers, versus the focused seeing you’d do if you glanced outside and noticed a sign in the window of your favorite restaurant, and oh no, it’s going out of business because, let’s face it, you always have that Typhoid Mary effect on things. In both cases the same sensory information, the same photonic stream from the external world, is falling on the retinal tissue of your eyes, but the information is processed very differently from one eyeful to the next. What is that difference? At what stage in the complex circuitry of sight do attentiveness and awareness arise, and what happens to other objects in the visual field once a particular object has been designated worthy of a further despairing stare?

Visual attentiveness is born of limited resources. “The basic problem is that far more information lands on your eyes than you can possibly analyze and still end up with a reasonable sized brain,” Dr. Wolfe said. Hence, the brain has evolved mechanisms for combating data overload, allowing large rivers of data to pass along optical and cortical corridors almost entirely unassimilated, and peeling off selected data for a close, careful view. In deciding what to focus on, the brain essentially shines a spotlight from place to place, a rapid, sweeping search that takes in maybe 30 or 40 objects per second, the survey accompanied by a multitude of body movements of which we are barely aware: the darting of the eyes, the constant tiny twists of the torso and neck. We scan and sweep and perfunctorily police, until something sticks out and brings our bouncing cones to a halt.

The mechanisms that succeed in seizing our sightline fall into two basic classes: bottom up and top down. Bottom-up attentiveness originates with the stimulus, with something in our visual field that is the optical equivalent of a shout: a wildly waving hand, a bright red object against a green field. Bottom-up stimuli seem to head straight for the brainstem and are almost impossible to ignore, said Nancy Kanwisher, a vision researcher at M.I.T., and thus they are popular in Internet ads.

Top-down attentiveness, by comparison, is a volitional act, the decision by the viewer that an item, even in the absence of flapping parts or strobe lights, is nonetheless a sight to behold. When you are looking for a specific object — say, your black suitcase on a moving baggage carousel occupied largely by black suitcases — you apply a top-down approach, the bouncing searchlights configured to specific parameters, like a smallish, scuffed black suitcase with one broken wheel. Volitional attentiveness is much trickier to study than is a simple response to a stimulus, yet scientists have made progress through improved brain-scanning technology and the ability to measure the firing patterns of specific neurons or the synchronized firing of clusters of brain cells.

Recent studies with both macaques and humans indicate that attentiveness crackles through the brain along vast, multifocal, transcortical loops, leaping to life in regions at the back of the brain, in the primary visual cortex that engages with the world, proceeding forward into frontal lobes where higher cognitive analysis occurs, and then doubling back to the primary visual centers. En route, the initial signal is amplified, italicized and annotated, and so persuasively that the boosted signal seems to emanate from the object itself. The enhancer effect explains why, if you’ve ever looked at a crowd photo and had somebody point out the face of, say, a young Franklin Roosevelt or George Clooney in the throng, the celebrity’s image will leap out at you thereafter as though lighted from behind.

Whether lured into attentiveness by a bottom-up or top-down mechanism, scientists said, the results of change blindness studies and other experiments strongly suggest that the visual system can focus on only one or very few objects at a time, and that anything lying outside a given moment’s cone of interest gets short shrift. The brain, it seems, is a master at filling gaps and making do, of compiling a cohesive portrait of reality based on a flickering view.

“Our spotlight of attention is grabbing objects at such a fast rate that introspectively it feels like you’re recognizing many things at once,” Dr. Wolfe said. “But the reality is that you are only accurately representing the state of one or a few objects at any given moment.” As for the rest of our visual experience, he said, it has been aptly called “a grand illusion.” Sit back, relax and enjoy the movie called You.

Natalie Angier
New York Times