Life Graph Quotes

But, Audrey, that's what life is. We're all on a jagged graph. I know I am. Up a bit, down a bit. That's life.

I'd never had a mind for math. ... It was a logic that made little sense to me. In my perception, the world wasn't a graph or a formula or an equation. It was a story.

I'm full of shit. I'm never myself. I've got a Southern accent around the oldsters; I'm a nerd for graphs and deep thoughts around you; I'm Miss Bubbly Pretty Princess with Colin. I'm nothing. The thing about chameleoning your way through life is that it gets to where nothing is real.

Consider cotton prices," Malcolm said. "There are good records of cotton prices going back more than a hundred years. When you study fluctuations in cotton prices, you find that the graph of price fluctuations in the course of a day looks basically like the graph for a week, which looks basically like the graph for a year, or for ten years. And that's how things are. A day is like a whole life. You start out doing one thing, but end up doing something else, plan to run an errand, but never get there... And at the end of your life, your whole existence has that same haphazard quality, too. Your whole life has the same shape as a single day.

The graph of life is not a straight line— Initiatives climax to gradually decline. The world is infused with greed and hate— Where innocent errors may alter one's fate. Where the fulfillment of desires fails to satiate— Where turbulence is a constant state.

But I'm sick of this bloody jagged graph. You know, two steps up, one step down. It's so painful. It's so slow. It's like this endless game of snakes and ladders." And Mum just looked at me as if she wanted to laugh or maybe cry, and said, "But Audrey, that's what life is. We're all on a jagged graph. I know I am. Up a bit, down a bit. That's life.

All in all, when I look at my dating life from the bigger perspective, it pretty much sucks. If it were a bar graph, and each guy were a different colored bar, and the side of the graph measured things like stupidity, lack of consideration, and overpowering lust, the colored bars of all the guys I’ve dated would crash through the top of the graph and rocket skyward like a testosterone-fueled rainbow.

There seems to be a firewall in my mind against ideas expressed in numbers and graphs rather than words, or in abstract words such as Sin or Creativity. I just don’t understand. And incomprehension is boredom.

Homo sapiens is a storytelling animal that thinks in stories rather than in numbers or graphs, and believes that the universe itself works like a story, replete with heroes and villains, conflicts and resolutions, climaxes and happy endings. When we look for the meaning of life, we want a story that will explain what reality is all about and what my particular role is in the cosmic drama. This role makes me a part of something bigger than myself, and gives meaning to all my experiences and choices.

And yet, winning is like a welcome drink going down your throat, like a beautiful embrace. It is brilliant while it lasts but it isn't forever. The high eventually melts away and the journey of life begins afresh. The truly remarkable among us visit these highs periodically; winning then becomes a journey, a graph where each point is crucial but is in reality merely part of a larger curve.

If we could see a graph of how much pain and limitation we cause in our own lives through the lies we tell ourselves, we would immediately eliminate this nasty habit.

But, Audrey, that’s what life is. We’re all on a jagged graph. I know I am. Up a bit, down a bit. That’s life.

I also want to say that there is no hierarchy of suffering. There's nothing that makes my pain worse or better than yours, no graph on which we can plot the relative importance of one sorrow versus another. People say to me, "Things in my life are pretty hard right now, but I have no right to complain -- it's not Auschwitz." This kind of comparison can lead us to minimize or diminish our own suffering. Being a survivor, being a "thriver" requires absolute acceptance of what was and what is. If we discount our pain, or punish ourselves for feeling lost or isolated or scared about the challenges in our lives, however insignificant these challenges may seem to someone else, then we're still choosing to be victims. We're not seeing our choices. We're judging ourselves.

Even when it isn't going well, knitting can be deeply spiritual. Knitting sets goals that you can meet. Sometimes when I work on something complicated or difficult - ripping out my work and starting over, porong over tomes of knitting expertise, screeching "I don't get it!" white practically weeping with frusteation - my husband looks at me and says, "I don't know why you think you like knitting." I just stare at him. I don't like knitting. I LOVE knitting. I don't know what could have possible led him to think that I'm not enjoying myself. The cursing? The crying? The forteen sheets of shredded graph paper? Knittong is like a marriage (I tell him) and you don't just trash the whole thing because there are bad moments.

People always spoke of healing as if it were predictable and progressive, a decisive diagonal line pointing from the lower left-hand corner of a graph to the upper right.

I'm full of shit. I’m never myself. I've got a Southern accent around the oldsters; I’m a nerd for graphs and deep thoughts around you; I’m Miss Bubbly Pretty Princess with Colin. I’m nothing. The thing about chameleoning your way through life is that it gets to where nothing is real. Your problem is - how did you say it - that you’re not significant?” “Don’t matter. I don’t matter.” “Right, matter. Well, but at least you can get to the part where you don’t matter. Things about you, and things about Colin, and things about Hassan and Katrina, are either true or they aren’t true. Katrina is bubbly. Hassan is hilarious. But I’m not like that. I’m what I need to be at any moment to stay above the ground but below the radar. The only sentence that begins with ‘I’ that’s true of me is I’m full of shit.

He longed for the years when it was enough to simply be in his room with his hand moving over a piece of graph paper, before the years of decisions and identities, when his parents made his choices for him, and the only thing he had to concentrate on was the clean blade stroke of a line, the ruler’s perfect knife edge.

you can choose to reset and refresh your energy and start from a neutral place at the center of the graph.

If happiness and time are the two axes of a graph, then I’m afraid the curve of my life has already passed the apex and is on its inexorable way down to the bottom.

I want a life that cannot be plotted on spreadsheets or graphs. I want to get married in the mountains with flowers in my hair and a prayer in my eyes.

Do you realise that it is God who chose you, in Christ Jesus, before he put the earth together? His ultimate goal is to make you holy & completely blameless, by the time he has finished working with you. It's not always a quick process, following a quick line fit on a graph. You are on a journey, full of ups and downs, stopping and waiting; as God develops character in you. The specific characteristics, which God wants to develop in your life are: patience; long suffering; and trust. And God may need to make several attempts at developing these characteristics in all of our lives. Have you ever wondered why the journey with God, to develop such characteristics in our lives, takes so long? It's because such characteristics will stay with us for eternity.

In retrospect, Euler's unintended message is very simple: Graphs or networks have properties, hidden in their construction, that limit or enhance our ability to do things with them. For more than two centuries the layout of Konigsberg's graph limited its citizens' ability to solve their coffeehouse problem. But a change in the layout, the addition of only one extra link, suddenly removed this constraint.

And in an essential way, this was what he was most ashamed of: not his poor understanding of sex, not his traitorous racial tendencies, not his inability to separate himself from his parents or make his own money or behave like an autonomous creature. It was that, when he and his colleagues sat there at night, the group of them burrowed deep into their own ambitious dream-structures, all of them drawing and planning their improbable buildings, he was doing nothing. He had lost the ability to imagine anything. And so every evening, while the others created, he copied: he drew buildings he had seen on his travels, buildings other people had dreamed and constructed, buildings he had lived in or passed through. Again and again, he made what had already been made, not bothering to improve them, just mimicking them. He was twenty-eight; his imagination had deserted him; he was a copyist. It frightened him. JB had his series. Jude had his work, Willem had his. But what if Malcolm never again created anything? He longed for the years when it was enough to simply be in his room with his hand moving over a piece of graph paper, before the years of decisions and identities, when his parents made his choices for him, and the only thing he had to concentrate on was the clean blade stroke of a line, the ruler's perfect knife edge.

Any time that we move from personal names to abstract labels or graphs or statistics, we are less in touch with reality and diminished in our capacity to deal with what is best and at the center of life. Yet we are encouraged on every side to do just that.

His life, like every other life, could be graphed: an ascent that rises to a peak, pauses at a particular node, and then descends. Only the gradient changes in any particular case: this child's was steeper than most, his descent swifter. We all ripen. We are all bound by the same ineluctable law, the same mathematical certainty.

Scanning through the bar graphs and readouts of the first DNA sequence e-mailed to me from the lab, I can see the messy, haphazard collection of instructions that make up a human life. While some would argue that the fact that this almost random pattern is proof of a miracle, I’d point out that by that logic, every living thing that manages to be born is a miracle—and if we’re all miracles, then nobody is, because the word has lost its meaning. Life works or it doesn’t.

There is an old debate," Erdos liked to say, "about whether you create mathematics or just discover it. In other words, are the truths already there, even if we don't yet know them?" Erdos had a clear answer to this question: Mathematical truths are there among the list of absolute truths, and we just rediscover them. Random graph theory, so elegant and simple, seemed to him to belong to the eternal truths. Yet today we know that random networks played little role in assembling our universe. Instead, nature resorted to a few fundamental laws, which will be revealed in the coming chapters. Erdos himself created mathematical truths and an alternative view of our world by developing random graph theory. Not privy to nature's laws in creating the brain and society, Erdos hazarded his best guess in assuming that God enjoys playing dice. His friend Albert Einstein, at Princeton, was convinced of the opposite: "God does not play dice with the universe.

There is no linear way out of grief, and life after loss is not an event with a finish line. While you may notice recurring themes or experiences in your grief, they don’t always appear in order, and they don’t always make sense to your brain. Grief is more like a zigzagging mountain trail than a line on a graph. It’s a mix of uphill and downhill paths, with some switchbacks tossed in for good measure. Know that it’s okay to feel like you’re “back at square one,” because in grief, there are no squares at all.

Who am I? What should I do in life? What is the meaning of life? Humans have been asking these questions from time immemorial. Every generation needs a new answer, because what we know and don’t know keeps changing. Given everything we know and don’t know about science, about God, about politics and about religion – what is the best answer we can give today? What kind of an answer do people expect? In almost all cases, when people ask about the meaning of life, they expect to be told a story. Homo sapiens is a storytelling animal, that thinks in stories rather than in numbers or graphs, and believes that the universe itself works like a story, replete with heroes and villains, conflicts and resolutions, climaxes and happy endings. When we look for the meaning of life, we want a story that will explain what reality is all about and what is my particular role in the cosmic drama. This role defines who I am, and gives meaning to all my experiences and choices. One popular story, told for thousands of years to billions of anxious humans, explains that we are all part of an eternal cycle that encompasses and connects all beings. Each being has a distinctive function to fulfil in the cycle. To understand the meaning of life means to understand your unique function, and to live a good life means to accomplish that function.

Network theory confirms the view that information can take on 'a life of its own'. In the yeast network my colleagues found that 40 per cent of node pairs that are correlated via information transfer are not in fact physically connected; there is no direct chemical interaction. Conversely, about 35 per cent of node pairs transfer no information between them even though they are causally connected via a 'chemical wire' (edge). Patterns of information traversing the system may appear to be flowing down the 'wires' (along the edges of the graph) even when they are not. For some reason, 'correlation without causation' seems to be amplified in the biological case relative to random networks.

NO GRAPH IN THE world can do full justice to these unexpected moments. They’re sweet little bursts of grace, and they leave sense-memories on the skin (the smell of the child’s shampoo, the smoothness of his arms). That’s why we’re here, leading this life, isn’t it? To know this kind of enchantment? The question is why such moments, at least with small children, often feel so hard-won, so shatterable, and so fleeting, as if located between parentheses. After just a few minutes of this dreamy slow-dance with Abe, William does a face-plant and starts howling. Jessie sambas over and handles it with humor. This is the drill. I’d like to propose a possible explanation for why these moments of grace are so rare: the early years of family life don’t offer up many activities that lend themselves to what psychologists call “flow.” Simply put, flow is a state of being in which we are so engrossed in the task at hand—so fortified by our own sense of agency, of mastery—that we lose all sense of our surroundings, as though time has stopped.

This principle is sometimes known as Price’s law, after Derek J. de Solla Price,13 the researcher who discovered its application in science in 1963. It can be modelled using an approximately L-shaped graph, with number of people on the vertical axis, and productivity or resources on the horizontal. The basic principle had been discovered much earlier. Vilfredo Pareto (1848–1923), an Italian polymath, noticed its applicability to wealth distribution in the early twentieth century, and it appears true for every society ever studied, regardless of governmental form. It also applies to the population of cities (a very small number have almost all the people), the mass of heavenly bodies (a very small number hoard all the matter), and the frequency of words in a language (90 percent of communication occurs using just 500 words), among many other things. Sometimes it is known as the Matthew Principle (Matthew 25:29), derived from what might be the harshest statement ever attributed to Christ: “to those who have everything, more will be given; from those who have nothing, everything will be taken.

Although Israel is targeted by terrorists much more frequently than the United States, Israelis do not live in fear of terrorism. A 2012 survey of Israeli Jews found that only 16 percent described terrorism as their greatest fear81—no more than the number who said they were worried about Israel’s education system. No Israeli politician would say outright that he tolerates small-scale terrorism, but that’s essentially what the country does. It tolerates it because the alternative—having everyone be paralyzed by fear—is incapacitating and in line with the terrorists’ goals. A key element in the country’s strategy is making life as normal as possible for people after an attack occurs. For instance, police typically try to clear the scene of an attack within four hours of a bomb going off,82 letting everyone get back to work, errands, or even leisure. Small-scale terrorism is treated more like crime than an existential threat. What Israel certainly does not tolerate is the potential for large-scale terrorism (as might be made more likely, for instance, by one of their neighbors acquiring weapons of mass destruction). There is some evidence that their approach is successful: Israel is the one country that has been able to bend Clauset’s curve. If we plot the fatality tolls from terrorist incidents in Israel using the power-law method (figure 13-8), we find that there have been significantly fewer large-scale terror attacks than the power-law would predict; no incident since 1979 has killed more than two hundred people. The fact that Israel’s power-law graph looks so distinct is evidence that our strategic choices do make some difference.

Perhaps the elements of memory in plants are superficially treated," he writes, "but at least there they are in black and white! Yet no one calls his friends or neighbors, no one shouts in a drunken voice over the telephone: Have you heard the news? Plants can feel! They can feel pain! They cry out! Plants remember everything!" When Soloukhin began to telephone his own friends in excitement he learned from one of them that a prominent member of the Soviet Academy of Sciences, working in Akademgorodok, the new town inhab­ ited almost exclusively by research scientists on the outskirts of Siberia's largest industrial center, Novosibirsk, had stated: Don't be amazed! We too are carrying out many experiments of this kind and they all point to one thing: plants have memory. They are able to gather impressions and retain them over long periods. We had a man molest, even torture, a geranium for several days in a row. He pinched it, tore it, pricked its leaves with a needle, dripped acid on its living tissues, burned it with a lighted match, and cut its roots. Another man took tender care of the same geranium, watered it, worked its soil, sprayed it with fresh water, supported its heavy branches, and treated its burns and wounds. When we electroded our instruments to the plant, what do you think? No sooner did the torturer come near the plant than the recorder of the instrument began to go wild. The plant didn't just get "nervous"; it was afraid, it was horrified. If it could have, it would have either thrown itself out the window or attacked its torturer. Hardly had this inquisitor left and the good man taken his place near the plant than the geranium was appeased, its impulses died down, the recorder traced out smooth­ one might almost say tender-lines on the graph.

Starting a little over a decade ago, Target began building a vast data warehouse that assigned every shopper an identification code—known internally as the “Guest ID number”—that kept tabs on how each person shopped. When a customer used a Target-issued credit card, handed over a frequent-buyer tag at the register, redeemed a coupon that was mailed to their house, filled out a survey, mailed in a refund, phoned the customer help line, opened an email from Target, visited Target.com, or purchased anything online, the company’s computers took note. A record of each purchase was linked to that shopper’s Guest ID number along with information on everything else they’d ever bought. Also linked to that Guest ID number was demographic information that Target collected or purchased from other firms, including the shopper’s age, whether they were married and had kids, which part of town they lived in, how long it took them to drive to the store, an estimate of how much money they earned, if they’d moved recently, which websites they visited, the credit cards they carried in their wallet, and their home and mobile phone numbers. Target can purchase data that indicates a shopper’s ethnicity, their job history, what magazines they read, if they have ever declared bankruptcy, the year they bought (or lost) their house, where they went to college or graduate school, and whether they prefer certain brands of coffee, toilet paper, cereal, or applesauce. There are data peddlers such as InfiniGraph that “listen” to shoppers’ online conversations on message boards and Internet forums, and track which products people mention favorably. A firm named Rapleaf sells information on shoppers’ political leanings, reading habits, charitable giving, the number of cars they own, and whether they prefer religious news or deals on cigarettes. Other companies analyze photos that consumers post online, cataloging if they are obese or skinny, short or tall, hairy or bald, and what kinds of products they might want to buy as a result.

This brings me to an objection to integrated information theory by the quantum physicist Scott Aaronson. His argument has given rise to an instructive online debate that accentuates the counterintuitive nature of some IIT's predictions. Aaronson estimates phi.max for networks called expander graphs, characterized by being both sparsely yet widely connected. Their integrated information will grow indefinitely as the number of elements in these reticulated lattices increases. This is true even of a regular grid of XOR logic gates. IIT predicts that such a structure will have high phi.max. This implies that two-dimensional arrays of logic gates, easy enough to build using silicon circuit technology, have intrinsic causal powers and will feel like something. This is baffling and defies commonsense intuition. Aaronson therefor concludes that any theory with such a bizarre conclusion must be wrong. Tononi counters with a three-pronged argument that doubles down and strengthens the theory's claim. Consider a blank featureless wall. From the extrinsic perspective, it is easily described as empty. Yet the intrinsic point of view of an observer perceiving the wall seethes with an immense number of relations. It has many, many locations and neighbourhood regions surrounding these. These are positioned relative to other points and regions - to the left or right, above or below. Some regions are nearby, while others are far away. There are triangular interactions, and so on. All such relations are immediately present: they do not have to be inferred. Collectively, they constitute an opulent experience, whether it is seen space, heard space, or felt space. All share s similar phenomenology. The extrinsic poverty of empty space hides vast intrinsic wealth. This abundance must be supported by a physical mechanism that determines this phenomenology through its intrinsic causal powers. Enter the grid, such a network of million integrate-or-fire or logic units arrayed on a 1,000 by 1,000 lattice, somewhat comparable to the output of an eye. Each grid elements specifies which of its neighbours were likely ON in the immediate past and which ones will be ON in the immediate future. Collectively, that's one million first-order distinctions. But this is just the beginning, as any two nearby elements sharing inputs and outputs can specify a second-order distinction if their joint cause-effect repertoire cannot be reduced to that of the individual elements. In essence, such a second-order distinction links the probability of past and future states of the element's neighbours. By contrast, no second-order distinction is specified by elements without shared inputs and outputs, since their joint cause-effect repertoire is reducible to that of the individual elements. Potentially, there are a million times a million second-order distinctions. Similarly, subsets of three elements, as long as they share input and output, will specify third-order distinctions linking more of their neighbours together. And on and on. This quickly balloons to staggering numbers of irreducibly higher-order distinctions. The maximally irreducible cause-effect structure associated with such a grid is not so much representing space (for to whom is space presented again, for that is the meaning of re-presentation?) as creating experienced space from an intrinsic perspective.

You are familiar with The Decline of the West, in which Oswald Spengler takes note of the current decadence of painting, as well as literature and music, and concludes that the end of our cultural epoch has arrived. He is a philosopher, but one descended from the natural sciences. He arranges observations, he records insights and knowledge. He takes a graphic view of history. And if he sees that a line curves downward, he considers the trend a proven fact, so that zero must be reached at a particular time and place. And that moment represents the end, the decline of the West! "But his graphing has no bearing on any of my ideas and plans as architect and politician. I study the reasons why the line curves downward, and I try to remove the causes. But at the same time, I examine the reasons why at an earlier time the line curved upward! And then I set out to restore the conditions of that day, to awake anew the creative wall of that time, and to bring about a new crest in the constantly fluctuating curve of history. "No doubt about it! Our culture has entered on stagnation, it looks like old age. But the reasons for this state do not lie in the fact that it has genuinely passed its manhood, but rather that the upholders of this culture, the Germanic-European peoples, have neglected it and have turned their attention to material tasks, to technology, industry, to hunger for material possessions, to rapacity, and to an economic egocentrism that overwhelms everything else. All their thinking and striving reaches its only climax in account books and in the outward show of the worldly goods they possess. "I am overcome with disgust, a vexing scorn, when I see the way such people live and behave! [ . . . ] But thank God, it is only the top ten thousand who think along these lines. It is true that the whole of the bourgeoisie is already strongly infected and sickly. But bourgeois youth are still healthy and can be shown the way back to nature, to a higher development, to new cultural will, provided only that they do not become enmeshed in the treadmill of meaningless and wholly materialistic contemporary life, only to drown either in the cupidity of business or in the tedium of the middle-class workaday routine or in the corruption of the big city. “If we succeed in replacing the egocentric cupidity of business with a socialist communal wall and a work-affirming responsibility for the common-weal; in abolishing the tedium of middle-class workaday monotony by substituting for it the potential enjoyment of personal liberty, the beauty of nature, the splendor of our own Fatherland and the thousandfold diversity of the rest of the world; and if we put an end to the corruption of omnipresent degeneracy, bred in the warrens of buildings and on the asphalt streets of the cities of millions - then the road is clear to a new life, to a new creative will, to a new flight of the free, healthy spirit and mind. And then, my dear Herr Roselius, your bricks will form themselves into entirely new shapes all by themselves. Temples of life will be built, cathedrals of a higher cult will be raised, and even thousands of years later, the walls will bear witness to the exalted times out of which even more exalted ones were bom!” When Roselius had left Hitler’s room with me, he took my hand and said: “Wagener, I thank you for having made this hour possible. What a man! And how small we feel, concerned as we are with those things that preoccupy us! But now I know' what I have to do! In spite of my sixty years, I have only one goal: to join in the work of helping the young people and the German Volk to find internal and external freedom!

The basic building block of Evernote is a “note.”  It can be text, a photo, a snapshot from the web, an e-mail, a chart or graph, anything. 

There is “colossal arrogance“, he maintains, in the assumption that humans will last forever. If one looks at the planet’s life across billions of years, rather than in terms of humankind’s meager history as a dominant species, we will see that our presence on earth has lasted the blink of an eye. “We are the agents of our own destruction - and when we are gone, extinguished by our own heedless quest for expansion, the planet will not mourn us. Indeed, it will have cause to rejoice. Today, the human species stands at the brink of a new mass extinction which will see, if not it’s disappearance, then its extreme marginalization./ for the first time in human history, the destruction - already apparent – is global. In times past, children and grandchildren were seen as a blessing, a sign of faith in the future of the gene pool. Now, it would seem that the kindest thing to do for our grandchildren is to refrain from generating them. “ Although more conservative and measured than the planetarian on the TV, Modak’s underlying message seems to be that pessimism is the new realism. I do not doubt his projections or his figures or his graphs. But his conclusions depress me.

The rounded, transparent covers from the growth capsules radiated a warm bluish-white light in the darkened hall, and inside each lay a naked body attached to a ghostly face. Affixed to the control panel of every capsule were lines containing air and liquid nourishment, pumping and maintaining the lives within while creating a constant hum that vibrated faintly throughout the room. The scientists shuffled amongst them. They spoke quietly and checked the ever-present dials, blinking lights and graphs, as they constantly monitored the life signs of the valuable occupants inside each chamber.

I had heard all of the statistics on life expectancy and have seen the graphs on health disparities but I had never considered the psychological health of People of Color and the diminishment of the quality of life due to fear and oppression.  The difference in life expectancy between Black and White people is 4.9 years

When he got out of the car to do his business, my mother stared straight ahead. But I turned to watch. There was always something wild and charismatically uncaring about my father’s demeanor in these moments, some mysterious abandonment of his frowning and cogitative state that already meant a lot to me, even though at that age I understood almost nothing about him. Paulie had long ago stopped whispering 'perv' to me for observing him as he relieved himself. She of course, kept her head n her novels. I remember that it was cold that day, and windy but that the sky had been cut from the crackling blue gem field of a late midwestern April. Outside the car, as other families sped past my father stepped to the leeward side of the open door then leaning back from the waist and at the same time forward the ankles. His penis poked out from his zipper for this part, Bernie always stood up at the rear window. My father paused fo a moment rocking slightly while a few indistinct words played on his lips. Then just before his stream stared he tiled back his head as if there were a code written in the sky that allowed the event to begin. This was the moment I waited for, the movement seemed to be a marker of his own private devotion as though despite his unshakable atheism and despite his sour, entirely analytic approach to every affair of life, he nonetheless felt the need to acknowledge the heavens in the regard to this particular function of the body. I don't know perhaps I sensed that he simply enjoyed it in a deep way that I did. It was possible I already recognized that the eye narrowing depth of his physical delight in that moment was relative to that paucity of other delights in his life. But in any case the prayerful uplifting of his cranium always seemed to democratize him for me, to make him for a few minutes at least, a regular man. Bernie let out a bark. ‘’Is he done?’’ asked my mother. I opened my window. ‘’Almost.’’ In fact he was still in the midst. My father peed like a horse. His urine lowed in one great sweeping dream that started suddenly and stopped just as suddenly, a single, winking arc of shimmering clarity that endured for a prodigious interval and then disappeared in an instant, as though the outflow were a solid object—and arch of glittering ice or a thick band of silver—and not (as it actually approximated) a parabolic, dynamically averaged graph of the interesting functions of gravity, air resistance, and initial velocity on a non-viscous fluid, produced and exhibited by a man who’d just consumed more than a gallon of midwestern beer. The flow was as clear as water. When it struck the edge of the gravel shoulder, the sound was like a bed-sheet being ripped. Beneath this high reverberation, he let out a protracted appreciative whistle that culminated in a tunneled gasp, his lips flapping at the close like a trumpeters. In the tiny topsoil, a gap appeared, a wisp entirely unashamed. Bernie bumped about in the cargo bay. My father moved up close to peer through the windshield, zipping his trousers and smiling through the glass at my mother. I realized that the yellow that should have been in his urine was unmistakable now in his eyes. ‘’Thank goodness,’’ my mother said when the car door closed again. ‘’I was getting a little bored in here.

HeartMath Inner Balance biofeedback monitor. It detects your heart’s minutest rhythms and sends a graph to your smartphone, facilitating HRV training.

It's never too late to start , It's not so hard to excuse , It's never so worst to love again, It's just interpretation of Life's Graph.

21 As environmental philosopher Dale Jamieson puts it, “The Anthropocene presents novel challenges for living a meaningful life.”22 Historian and theorist Dipesh Chakrabarty has claimed that global warming “calls us to visions of the human that neither rights talk nor the critique of the subject ever contemplated.”23 Whether we are talking about ethics or politics, ontology or epistemology, confronting the end of the world as we know it dramatically challenges our learned perspectives and ingrained priorities. What does consumer choice mean compared against 100,000 years of ecological catastrophe? What does one life mean in the face of mass death or the collapse of global civilization? How do we make meaningful decisions in the shadow of our inevitable end? These questions have no logical or empirical answers. They cannot be graphed or quantified. They are philosophical problems par excellence. If, as Montaigne asserted, “To philosophize is to learn how to die,” then we have entered humanity’s most philosophical age, for this is precisely the problem of the Anthropocene.24 The rub now is that we have to learn to die not as individuals, but as a civilization.

Britain’s Exeter University, a scientist named Kevin Anderson took the podium for a major address. He showed slide after slide, graph after graph, “representing the fumes that belch from chimneys, exhausts and jet engines, that should have bent in a rapid curve towards the ground, were heading for the ceiling instead.” His conclusion: it was “improbable” that we’d be able

Neither Duncan nor I could see how to solve that problem by pure mathematics, so we used a computer to simulate the morph on networks of large but manageable size, starting from pristine rings with 1,000 nodes and 10 links per node. To chart the structural changes in the middle ground, we graphed both the average path length and the clustering as functions of the proportion of links that were randomly rewired. What we found amazed us. The slightest bit of randomness contracted the network tremendously. The average path length plummeted at first—with only 1 percent rewiring (meaning that only 1 out of every 100 links was randomized), the graph dropped by 85 percent from its original level. Further rewiring had only a minimal effect; the curve leveled off onto a low-lying plateau, indicating that the network had already gotten about as small as it could possibly get, as if it were completely random. Meanwhile, the clustering barely budged. With 1 percent rewiring, the clustering dropped by only 3 percent. Connections were being yanked out of well-ordered neighborhoods, yet the clustering hardly noticed. Only much later in the morph, long after the crash in path length, did clustering begin to drop significantly.

But, Audrey, that's what life is. We're all on a jagged graph. I know I am. Up a bit, down a bit. That's life.

a slender vinyl attaché case; the kind carried by State Department clerks, computer salesmen, and executive trainees. This, which she opened on her lap, had proved to contain such serious businesslike material as yellow-lined legal pads, ballpoint pens, graph paper, loose-leaf filler books, a cassette recorder, sharpened yellow pencils, and a slide rule. (I have always envied people who know what a slide rule is for. It’s not even the question of how you use it, it’s more basic than that; I am convinced there have been moments in my life which would have been made easier if I had been equipped with a handy slide rule and the mastery of its operation, but I’m so ignorant I don’t even know which moments those were. Never have I said, “Oh, if only I had a slide rule!” though surely there have been times when it was the appropriate thing to say.) But not at the moment for Ms. Scott. She’d taken from the attaché case only one legal pad and one ballpoint pen, then closed

People changed and they didn’t. People evolved and they didn’t. Alice imagined a graph that showed how much people’s personalities shifted after high school on one axis and on the other, how many miles away from home they had moved. It was easy to stay the same when you were looking at the same walls. Layered on top would be how easy your life was along the way, how many levels of privilege surrounded you like a tiny glass object in a sea of packing peanuts.

Euler's proof that in Konigsberg there is no path crossing all seven bridges only once was based on a simple observation. Nodes with an odd number of links must be either the starting or the end point of the journey. A continuous path that goes through all the bridges can have only one starting and one end point. Thus, such a path cannot exist on a graph that has more than two nodes with an odd number of links. As the Konigsberg graph had four such nodes, one could not find the desired path.

When you eat food, you give your body a relatively large amount of energy (calories) in a short period. Glucose levels rise far above what is needed to maintain life, and instead of “throwing away” or burning off all excess energy, a portion is stored as body fat for later use. Scientifically speaking, when your body is absorbing nutrients eaten and storing fat, it’s in the “postprandial” state (post meaning “after” and prandial meaning “having to do with a meal”). This “fed” state is when the body is in “fat storage mode.” Once the body has finished absorbing the glucose and other nutrients from the food (amino acids and fatty acids), it then enters the “postabsorptive” state (“after absorption”), wherein it must turn to its fat stores for energy. This “fasted” state is when the body is in “fat burning mode.” Your body flips between “fed” and “fasted” states every day, storing fat from the food you eat and then burning it once there’s nothing left to use from the meals. Here’s a simple graph that depicts this cycle:

THE VALUE OF 5–10-MINUTE BREAKS The serial position effect refers to improved recall observed at the beginnings and ends of lists. Separately, these are called the primacy effect and recency effect, respectively. Memorizing a hypothetical list of 20 words, your recall might look something like this: This mid-list dip can be observed in study sessions as well, so a 90-minute session might resemble the below graph: We can dramatically improve recall by splitting that single session into two sessions of 45 minutes with a 10-minute break in between.

When starting a new leaf, and finding it difficult to maintain. Think instead of your life on a graphing chart. Make sure your highs are getting higher and your lows are getting higher. Progress precedes perfection. When you should really feel concerned is when your highs and your lows are both getting lower.

Feynman converts! According to Frank Wilczek, Feynman eventually lost confidence in his particles-only view of nature: Feynman told me that when he realized that his theory of photons and electrons is mathematically equivalent to the usual theory, it crushed his deepest hopes...He gave up when, as he worked out the mathematics of his version of quantum electrodynamics, he found the fields, introduced for convenience, taking on a life of their own. He told me he lost confidence in his program of emptying space...(see quote in Chap. 2, "The Gravitational Field")-F. Wilczek (W2008, p. 84. 89) However this "conversion" is not generally known. Most physicists today routinely use Feynman graphs while promulgating and perpetuating the particle picture of nature, puzzling and paradoxical as that picture may be.

The proponents of chaos theory suggest that what in real life appear to be purely random measurements are, in fact, generated by some deterministic set of equations, and that these equations can be deduced from the patterns that appear in a Poincaré plot. For instance, some proponents of chaos theory have taken the times between human heartbeats and put them into Poincaré plots. They claim to see patterns in these plots, and they have found deterministic generating equations that appear to produce the same type of pattern. As of this writing, there is one major weakness to chaos theory applied in this fashion. There is no measure of how good the fit is between the plot based on data and the plot generated by a specific set of equations. The proof that the proposed generator is correct is based on asking the reader to look at two similar graphs. This eyeball test has proved to be a fallible one in statistical analysis. Those things that seem to the eye to be similar or very close to the same are often drastically different when examined carefully with statistical tools developed for this purpose.

Correlations made by big data are likely to reinforce negative bias. Because big data often relies on historical data or at least the status quo, it can easily reproduce discrimination against disadvantaged racial and ethnic minorities. The propensity models used in many algorithms can bake in a bias against someone who lived in the zip code of a low-income neighborhood at any point in his or her life. If an algorithm used by human resources companies queries your social graph and positively weighs candidates with the most existing connections to a workforce, it makes it more difficult to break in in the first place. In effect, these algorithms can hide bias behind a curtain of code. Big data is, by its nature, soulless and uncreative. It nudges us this way and that for reasons we are not meant to understand. It strips us of our privacy and puts our mistakes, secrets, and scandals on public display. It reinforces stereotypes and historical bias. And it is largely unregulated because we need it for economic growth and because efforts to try to regulate it have tended not to work; the technologies are too far-reaching and are not built to recognize the national boundaries of our world

Correlations made by big data are likely to reinforce negative bias. Because big data often relies on historical data or at least the status quo, it can easily reproduce discrimination against disadvantaged racial and ethnic minorities. The propensity models used in many algorithms can bake in a bias against someone who lived in the zip code of a low-income neighborhood at any point in his or her life. If an algorithm used by human resources companies queries your social graph and positively weighs candidates with the most existing connections to a workforce, it makes it more difficult to break in in the first place. In effect, these algorithms can hide bias behind a curtain of code. Big data is, by its nature, soulless and uncreative. It nudges us this way and that for reasons we are not meant to understand. It strips us of our privacy and puts our mistakes, secrets, and scandals on public display. It reinforces stereotypes and historical bias. And it is largely unregulated because we need it for economic growth and because efforts to try to regulate it have tended not to work; the technologies are too far-reaching and are not built to recognize the national boundaries of our world’s 196 sovereign nation-states. Yet would it be best to try to shut down these technologies entirely if we could? No. Big data simultaneously helps solve global challenges while creating an entirely new set of challenges. It’s our best chance at feeding 9 billion people, and it will help solve the problem of linguistic division that is so old its explanation dates back to the Old Testament and the Tower of Babel. Big data technologies will enable us to discover cancerous cells at 1 percent the size of what can be detected using today’s technologies, saving tens of millions of lives. The best approach to big data might be one put forward by the Obama campaign’s chief technology officer, Michael Slaby, who said, “There’s going to be a constant mix between your qualitative experience and your quantitative experience. And at times, they’re going to be at odds with each other, and at times they’re going to be in line. And I think it’s all about the blend. It’s kind of like you have a mixing board, and you have to turn one up sometimes, and turn down the other. And you never want to be just one or the other, because if it’s just one, then you lose some of the soul.” Slaby has made an impressive career out of developing big data tools, but even he recognizes that these tools work best when governed by human judgment. The choices we make about how we manage data will be as important as the decisions about managing land during the agricultural age and managing industry during the industrial age. We have a short window of time—just a few years, I think—before a set of norms set in that will be nearly impossible to reverse. Let’s hope humans accept the responsibility for making these decisions and don’t leave it to the machines.

Recognize, though, that graphs and equations provide an economical and effective way of expressing things that torture the tongue.

Math class was the worst. Those fucking graphing calculators! When my teachers handed out quizzes, I didn’t even try. I just handed them in blank.

There's a telos of self-improvement baked into the immigrant experience. As a teenager, I busied myself with the school newspaper or debate club because, unlike with math or science, I thought I could actually get better at these things. You flip through your father's old physics notebooks, and you know in your bones that these formulas and graphs will never make sense to you. But one day, you realize that your parents speak with a mild accent, and that they have no idea what passive voice is. The next generation would acquire a skill on their behalf -- one that we could also use against them. Commanding the language seemed like our only way of surpassing them. Home life took on a kind of casual litigiousness. The calm and composed children, a jaunty bounce to our sentences, laying traps with our line of questioning. The parents, tired and irritated, defaulting to the native tongue.

As social media matured, we soon found out that there were limitations to the “social graph”–driven content approach over time. When the content you see is based on which accounts you follow, it becomes harder to keep you on a platform as your relationships and preferences evolve over the course of your life.

An easy and even a pleasant task is it to reduce human problems to numerical figures in black and white on charts and graphs, an infinitely difficult one is it to suggest concrete solutions, or to extend true charity in individual lives. Yet life can only be lived in the individual; almost invariably the individual refuses to conform to the theories and the classifications of the statistician.

I'm full of shit. I'm never myself. I've got a southern accent with the oldsters; I'm a nerd for graphs and deep thoughts around you; I'm Miss Bubbly Pretty Princess with Colin. I'm nothing. The thing about chameleoning your way through life is that it gets to where nothing is real.

Figure 2.1 Cortical connections over two years adapted from Conel The top row shows the baby’s cortex at birth, then at one month and at three months. They all look about the same, don’t they? But look what happens at six months (bottom left box): the number of cell bodies remains the same, but the number of connections has multiplied exponentially. The connections grow so quickly in the first three years of life that neuroscientists call it neural exuberance. Neural exuberance! The name is well earned: The baby’s brain makes 24 million new connections every minute, and this continues for the first three years of life. Each neuron may be connected to 1,000 other neurons — that multiplies out to 100 trillion possible connections between neurons, more than the number of stars in the universe. This high level of connectivity between brain cells leads to the cortex of a three-year-old being twice as thick as an adult’s! As connections are created, new abilities emerge. For example, when connections grow in Broca’s area — speech production — around six months, then children begin to speak. Around nine months of age, the frontal areas (behind the forehead) become more interconnected, and that’s when most children develop object permanence: knowing that objects continue to exist even when they are out of sight. Before object permanence develops, when Mom is out of sight she’s no longer in the baby’s universe. This is why young babies are inconsolable when Mom leaves. Once they start to develop object permanence, babies can hold on to an internal image of Mom. This is about the age that babies play peek-a-boo. Mom disappears when she puts the blanket over her head, but the nine-month-old knows Mom’s still there even if he can’t see her. The infant tests his “knowledge” when he pulls the blanket off and sees — sure enough! —Mom really is there! What is the use of so many brain connections in the first three years of life? These connections are ready-made highways for information to travel along. The toddlers’ ability to quickly adapt and learn is possible because they have a vast number of brain connections available for making sense of the world. Thanks to neural exuberance, the child does not need to create connections on the spur of the moment to make meaning of each new experience; myriad connections are already there. Pruning of connections The number of connections remains high from age 3 until age 10, when the process of neural pruning begins. Connections that are being used remain; others get absorbed back into the neuron. It’s similar to pruning a bush. After pruning, individual branches get thicker, fruit is more abundant, and the whole bush gets fuller. This seems a little counter-intuitive, but pruning works because it allows the plant’s limited resources to go to its strongest parts; water and nutrients are no longer wasted on spindly branches and dried-out roots. Similarly, when unused brain connections are pruned, neural resources are more available for brain areas that are being used. This results in a more useful and efficient brain that’s tailor-made to meet each individual’s needs. This process of pruning occurs in all brain areas. Figure 2.2 presents findings published by Sowell and associates. They measured Magnetic Resonance Imaging in 176 normal subjects from age 7 to 87 years. The x-axes in these graphs present years from 10 to 90 years. Notice there is a common pattern of decreasing connections in all brain areas. In some brain areas this change is steeper, such as in frontal areas, but is flatter in other areas such as temporal areas in the left hemisphere.

The bottom line, then, is that the evidence shows that vaccination programmes have not done the things they are credited with but have done most of the things they are blamed for. The decline in disease, the reduction in infant mortality rates and the increase in average life expectation are all due to improved living conditions. Cleaner water, efficient methods of removing sewage, fresher food, less poverty and less overcrowding are the real reasons why these improvements have taken place. Anyone who doubts this has only to look at graphs showing mortality rates and life expectation rates alongside graphs showing when vaccines were introduced. The graphs show clearly that the improvements took place before the vaccines were introduced. Study the evidence relating to whooping cough, tetanus, diphtheria, smallpox, polio and other diseases and it becomes clear that the incidence of these diseases, and number of deaths caused by them, were in decline long before the relevant vaccines were introduced.

As the 1800s got into full swing, things finally began to change. Slowly, between 1830 and 1850, graphs of life expectancy start to pull up. If we take the leading country in the world at any given time, which we can regard as the state of the art in population health for any given moment in history, a very striking picture emerges. The maximum global life expectancy has increased by three months every year since 1840, with clockwork regularity.

Leonhard Euler (pronounced “oiler”, 1707–1783) is judged by all to have been the most productive, and by many to have been the best, mathematician of modern times. He was Swiss, but spent much of his life in Russia because he had a big family and Catherine the Great offered him a lot of money. His paper “The Seven Bridges of Königsberg” (1736), which we will discuss in Chapter 8, is the earliest known work on the theory of graphs. The theorem now known as Euler’s Formula was proved by Euler in 1752. It is one of the classic theorems of elementary mathematics and plays a central role in the next three chapters of this book.

The mathematician Stanislaw Ulam once said that calling a problem nonlinear was like going to the zoo and talking about all the interesting nonelephant animals you see there. His point was that most animals are not elephants, and most equations are not linear. Linear equations describe simple, idealized situations where causes are proportional to effects, and forces are proportional to responses. If you bend a steel girder by two millimeters instead of one, it will push back twice as hard. The word linear refers to this proportionality: If you graph the deflection of the girder versus the force applied, the relationship falls on a straight line.

I wish this freedom for others too. Somewhere, a potential actor now playing the depressing role of a software engineer. A promising baker who ended up a banker and cooks up pie charts. A budding writer making up stories to escape a day’s work. A talented painter who spends her colourless days shading those shady graphs. Sadly, it does not take much for talent to turn latent. One truly turns gay only when one finally comes out of such assumed identities and forced orientations.

Seeing her set off toward the main building, he thought that the path that led her to her dead would not be lost in the labyrinths of history. She herself, was she dead or alive? Cornelius would have liked to be able to ask that question to those who, under the pretext of drawing up the exact figures of the genocide, threw numbers around furiously. Let’s not exaggerate, sir, after all, there were only eight hundred thousand dead in Rwanda. No, one million two hundred thousand. Many more. Somewhat fewer. He wanted to ask them where the young woman in black should go in their graphs. But it was easy to understand: after such an ordeal, there was a little bit of death in everyone. Maybe there was less life left in the veins of that unknown woman than among the remains of Murambi.

Over the years, Facebook has executed an effective playbook that does exactly this, at scale. Take Instagram as an example—in the early days, the core product tapped into Facebook’s network by making it easy to share photos from one product to the other. This creates a viral loop that drives new users, but engagement, too, when likes and comments appear on both services. Being able to sign up to Instagram using your Facebook account also increases conversion rate, which creates a frictionless experience while simultaneously setting up integrations later in the experience. A direct approach to tying together the networks relies on using the very established social graph of Facebook to create more engagement. Bangaly Kaba, formerly head of growth at Instagram, describes how Instagram built off the network of its larger parent: Tapping into Facebook’s social graph became very powerful when we realized that following your real friends and having an audience of real friends was the most important factor for long-term retention. Facebook has a very rich social graph with not only address books but also years of friend interaction data. Using that info supercharged our ability to recommend the most relevant, real-life friends within the Instagram app in a way we couldn’t before, which boosted retention in a big way. The previous theory had been that getting users to follow celebrities and influencers was the most impactful action, but this was much better—the influencers rarely followed back and engaged with a new user’s content. Your friends would do that, bringing you back to the app, and we wouldn’t have been able to create this feature without Facebook’s network. Rather than using Facebook only as a source of new users, Instagram was able to use its larger parent to build stronger, denser networks. This is the foundation for stronger network effects. Instagram is a great example of bundling done well, and why a networked product that launches another networked product is at a huge advantage. The goal is to compete not just on features or product, but to always be the “big guy” in a competitive situation—to bring your bigger network as a competitive weapon, which in turn unlocks benefits for acquisition, engagement, and monetization. Going back to Microsoft, part of their competitive magic came when they could bring their entire ecosystem—developers, customers, PC makers, and others—to compete at multiple levels, not just on building more features. And the most important part of this ecosystem was the developers.

Now I’m back. I have a car, a house—everything a man should have, including erectile dysfunction and insomnia. If happiness and time are the two axes of a graph, then I’m afraid the curve of my life has already passed the apex and is on its inexorable way down to the bottom.

The world does not consist of words, graphs or mathematics, which make up the “tickets” or pookahs we most commonly use to file-and-index our experience. The world of experience consists of non-verbal, non-graphical, non-mathematical processes, encountered and endured, which we convert into words, graphs or math (or other, more arty pookahs or masks.)

Stories can be incredibly powerful and beautiful devices that form and assist our perception and understanding of the world. However, according to twentieth-century American author Kurt Vonnegut, stories rarely tell the truth. After studying stories from an anthropological standpoint, examining the relationships with various cultures, Vonnegut found that stories and myths across many cultures share consistent similar shapes that can typically be broken down into just a few main categories. These shapes can be found graphing the course of a protagonist’s journey through a story along an axis of good and ill fortune. In all stories, someone or something starts somewhere, either in a good place, bad place, or neutral place. Then things happen related to that person which is conveyed as good or bad, bringing the character up and down the axis of fortune as they traverse forward through the story. Then, the story ends and its shape reveals itself. Vonnegut discovered that many popular stories follow common, consistent curves and spikes up and down the good/ill axis and that most end with the protagonist higher on the axis than where they started. However, what’s perhaps most interesting about Vonnegut’s analysis is this argument that these shapes, and consequently most stories, lie. Vonnegut proposed that a more honest, realistic story shape is simply a straight line. In a story of this shape, things still happen and characters still change, but the story maintains ambiguity around whether or not the events that occur are conclusively good or bad. According to Vonnegut, Hamlet is the closest literary representation of real life. “We are so seldom told the truth. In Hamlet-Shakespeare tells us that we don’t know enough about life to know what the good news is and the bad news is and we respond to that.” One story medium that seems to inadvertently coincide with this idea, is the medium of the television series. The goal of TV series is to keep viewers watching as long as possible. Each episode must be an engaging enough story to keep the viewer watching until the end, but each episode must also be left unresolved enough so the larger season-long and series-long stories continue and the viewer is interested in watching all the following episodes. In order to keep the whole thing going, none of the stories can reach a conclusion, and thus, the main characters can’t find ultimate peace or freedom from the uncertainty between good and ill-fortune. Of course, most shows don’t qualify as the straight-line shape in Vonnegut’s analysis, because most shows attempt to convey conclusively good and bad fortunes within them. However merely by the requirements of the medium TV series are forced to self-impose the same sort of universal truth that Vonnegut suggests. That neither the viewer nor the characters in a series can ever know what anything that’s so-called “good” or “bad” in one episode might cause in the next. And that on a fundamental level, the changes in each episode are futile because they are a part of a never-ending cycle of change through conflict and resolution, for the mere sake of its continuation, with no aim of a final resolution or reveal of what’s ultimately good or bad. Of course, eventually, a show reaches its series end when it stops working or runs its natural course. But the show fights its whole life to stay away from this moment. A good TV series, a series that we don’t want to end, is only a series that we don’t want to end because it can’t seem to resolve itself. In this, the format of Tv series also shows us that there is meaning, engagement, and entertainment within the endless cycle of change, regardless of its potential universal futility. And that perhaps change in life can exist not for the sake of some conclusion or ultimate state of peace, but a continuation of itself for the sake of itself. And perhaps the ability to be in this cycle of continued change for the sake of change is the actual good fortune.

It was the ancient Prime of the wolves who answered, his withered voice rising above the pinging of the graph. “With the strength of the most powerful force in the world. The most powerful force in any realm.” He pointed to the screen. “What brings loyalty beyond death, undimming despite the years. What remains unwavering in the face of hopelessness.” The Autumn King twisted toward the ancient Prime, shaking his head. Still not understanding. Bryce was at the level of ordinary witches now. But still too far from life. Motion caught Declan’s eye, and he whirled toward the feed of the Old Square. Wreathed in lightning, healed and whole, Hunt Athalar was kneeling over Bryce’s dead body. Pumping her torso with his hands—chest compressions. Hunt hissed to Bryce through his gritted teeth, thunder cracking above him, “I heard what you said.” Pump, pump, pump went his powerful arms. “What you waited to admit until I was almost dead, you fucking coward.” His lightning surged into her, sending her body arcing off the ground as he tried to jump-start her heart. He snarled in her ear, “Now come say it to my face.” Sabine whispered a sentence to the room, to the Autumn King, and Declan’s heart rose, hearing it. It was the answer to the ancient Prime’s words. To the Autumn King’s question of how, against every statistic blaring on Declan’s computer, they were even witnessing Hunt Athalar fight like Hel to keep Bryce Quinlan’s heart beating. Through love, all is possible.

I know that much of this is cynical and smart, possibly even dishonest, but I do want to highlight the difficulty of reporting on a child’s progress in a worthwhile way. To me, there needs to be the occasional dip into comparison with others, but the bulk of information must relate to the child in question. And this is not a task of simple measurement that will lend itself to graphs and glib statements in Parliament. Knowing where a child is at, and what he or she needs next, is a far more complex task than this. It is at the very heart of the art of teaching. I grieve that teachers have allowed this part of their art to be stolen from them by the bean counters.

How,” the Autumn King asked no one in particular. “How?” It was the ancient Prime of the wolves who answered, his withered voice rising above the pinging of the graph. “With the strength of the most powerful force in the world. The most powerful force in any realm.” He pointed to the screen. “What brings loyalty beyond death, undimming despite the years. What remains unwavering in the face of hopelessness.” The Autumn King twisted toward the ancient Prime, shaking his head. Still not understanding. Bryce was at the level of ordinary witches now. But still too far from life. Motion caught Declan’s eye, and he whirled toward the feed of the Old Square. Wreathed in lightning, healed and whole, Hunt Athalar was kneeling over Bryce’s dead body. Pumping her torso with his hands—chest compressions. Hunt hissed to Bryce through his gritted teeth, thunder cracking above him, “I heard what you said.” Pump, pump, pump went his powerful arms. “What you waited to admit until I was almost dead, you fucking coward.” His lightning surged into her, sending her body arcing off the ground as he tried to jump-start her heart. He snarled in her ear, “Now come say it to my face.” Sabine whispered a sentence to the room, to the Autumn King, and Declan’s heart rose, hearing it. It was the answer to the ancient Prime’s words. To the Autumn King’s question of how, against every statistic blaring on Declan’s computer, they were even witnessing Hunt Athalar fight like Hel to keep Bryce Quinlan’s heart beating. Through love, all is possible.

Biological systems are a chemical inevitability in the right circumstances. There is, of course, something special about life—I won’t take that away from it—but it is a chemical process, a dynamic, kinetic stability that exists, as your scientists have said, “far from thermodynamic equilibrium.” You don’t have to understand this or believe me, but life is fairly common in both time and space. It is not special, nor is it particularly fragile. The best measure I have of the size and complexity of a biosphere is calories of energy captured per square meter per year. Higher is more impressive, and always more beautiful, but this measures nothing of the creation of a system like humanity. For that, my awakened mind categorizes systems by bytes of information transmitted. This will sound to you like it’s a relatively new phenomenon on your planet, but it’s not. Even pelagibacter transmit information, if only to daughter cells. Ants spray pheromones, bees dance, birds sing—all of these are comparatively low-bandwidth systems for communication. But your system caused an inflection point. The graph of data flow switched from linear to exponential growth. Maybe you would call this system “humanity,” but I wouldn’t. It is not just a collection of individuals; it is also a collection of ideas stored inside of individuals and objects and even ideas inside ideas. If that seems like a trivial difference to you, well, I guess I can forgive you since you do not know what the rest of the universe looks like. Collections of individuals are beautiful, but they are as common as pelagibacter. Collections of ideas are veins of gold in our universe.

Biological systems are a chemical inevitability in the right circumstances. There is, of course, something special about life—I won’t take that away from it—but it is a chemical process, a dynamic, kinetic stability that exists, as your scientists have said, “far from thermodynamic equilibrium.” You don’t have to understand this or believe me, but life is fairly common in both time and space. It is not special, nor is it particularly fragile. The best measure I have of the size and complexity of a biosphere is calories of energy captured per square meter per year. Higher is more impressive, and always more beautiful, but this measures nothing of the creation of a system like humanity. For that, my awakened mind categorizes systems by bytes of information transmitted. This will sound to you like it’s a relatively new phenomenon on your planet, but it’s not. Even pelagibacter transmit information, if only to daughter cells. Ants spray pheromones, bees dance, birds sing—all of these are comparatively low-bandwidth systems for communication. But your system caused an inflection point. The graph of data flow switched from linear to exponential growth. Maybe you would call this system “humanity,” but I wouldn’t. It is not just a collection of individuals; it is also a collection of ideas stored inside of individuals and objects and even ideas inside ideas. If that seems like a trivial difference to you, well, I guess I can forgive you since you do not know what the rest of the universe looks like. Collections of individuals are beautiful, but they are as common as pelagibacter. Collections of ideas are veins of gold in our universe. They must be cherished and protected. My parents, whoever and whatever they were, gave me knowledge of many systems—it was locked in my code before I was sent here to self-assemble—and the only thing I can tell you about systems like yours is that they are rare because they are unstable. Dynamite flows through their veins. A single solid jolt and they’re gone. If my data sets are accurate, you are rare, fragile, and precious.

We all die of something, and if you are following my argument in this chapter skeptically—as you should—that includes physically active people who eat sensibly and do everything else they are supposed to. In fact, despite being told to exercise, more inactive people like Donald Trump are living longer and in better health today than ever before. To evaluate this conundrum, let’s look closely at the probabilistic relationship between death (mortality) and illness (morbidity). Too often, statistics on aging focus on life span without also considering health span (the length of time spent in good health without morbidity). A useful way to think about both life span and health span is to graph functional capacity (a measure of health) on the y-axis versus time on the x-axis, as shown in figure 28. Someone who is generally healthy is at nearly 100 percent functional capacity most of the time, despite occasional, temporary illnesses. Then, at some point, age-related senescence commences and functional capacity declines because of serious illness, eventually leading to death.

He later remarked at the end of his Royal Institution lecture-demonstration in May 1901 that ''It was when I came on this mute witness of life and saw an all-pervading beauty that binds together all things - it was then that for the first time I understood the message proclaimed on the banks of the Ganges thirty years ago - 'they who behold the One, in all the changing manifoldness of the universe, unto them belongs eternal truth, unto none else, unto none else.' Such statements caused as much of a stir as did his painstaking results. Geddes described Bose's interaction with Sir Michael Foster, a veteran Cambridge physiologist, who asked why the Indian showed him a graph with the 'curve os muscle response' to electrical stimulation, something he already knew about. Delighted, Bose replied, 'Pardon me; it is the response of metallic tin.

The bottom line is that when members of iGen arrived on campus, beginning in the fall of 2013, they had accumulated less unsupervised time and fewer offline life experiences than had any previous generation. As Twenge puts it, “18-year-olds now act like 15-year-olds used to, and 13-year-olds like 10-year-olds. Teens are physically safer than ever, yet they are more mentally vulnerable.”9 Most of these trends are showing up across social classes, races, and ethnicities.10 Members of iGen, therefore, may not (on average) be as ready for college as were eighteen-year-olds of previous generations. This might explain why college students are suddenly asking for more protection and adult intervention in their affairs and interpersonal conflicts. The second major generational change is a rapid rise in rates of anxiety and depression.11 We created three graphs below using the same data that Twenge reports in iGen.

Idle, archaic, indifferent mentality. I am beginning to feel I might give all this up, as if the challenge were not worth the trouble, might give up all judgement. This state of mind has been with me from childhood, from adolescence - a lack lustre, slipshod, idle, irresponsible, uncultivated, undesiring state. These books, did they ever interest me? These women, did I ever feel any emotion for them? All these different countries, did I want to discover them? Only the inhumanity of things has affected me, and I have in fact been unable to bring this into my own life. I read this verdict in the graph of the tonality of events, of the melancholy of faces, of the vanity and futility of our undertakings. I am still astonished by the mirror we can offer to others, by the loving or ironic image which we still are sometimes in each others' mirrors. Increasingly, it is machines, not people, who get nervous. People only become nervous if they force themselves to look like machines. All situations where you have to make a choice come down to this: do you prefer a woman with a very ordinary body but an attractive face, or one whose body is attractive, but whose face is nothing special? The problem is a false one. It is always preferable to be in a situation where there is no choice to be made either because the woman is perfect, or because she is the only one available.

There is a lesson here: what we learn from professionals in the real world is that data is not necessarily rigor. One reason I—as a probability professional—left data out of The Black Swan (except for illustrative purposes) is that it seems to me that people flood their stories with numbers and graphs in the absence of solid or logical arguments. Further, people mistake empiricism for a flood of data. Just a little bit of significant data is needed when one is right, particularly when it is disconfirmatory empiricism, or counterexamples: only one data point (a single extreme deviation) is sufficient to show that Black Swans exist.

having a good understanding of what the exponential mindset looks like. In a piece for the Harvard Business Review, Mark Bonchek, founder and chief epiphany officer of Shift Thinking, describes the linear mindset as a line appearing on a graph that rises gradually over time. He then juxtaposes this with a second line that curves upward, slowly at first, and then shooting over the other line before heading far off the graph. This is his visual depiction of the exponential mindset.

When God looks upon my life graph, he sees not jagged swerves toward good and bad but rather a steady line of good: the goodness of God’s Son captured in a moment of time and applied for all eternity.

Pentagon staff officers today often lament the rise of PowerPoint. They only complain because they’re too young to remember making Vu-Graph slides and printing them on cellulose acetate transparency sheets

The well-being of people was to be considered before the sheer generations of goods and cash, before rampant growth just for the sake of an upward slope on a graph. Quality of life was to take precedence over financial and material success. Compassion toward and cooperation with your fellow citizens was fundamental, essential, rather than mowing down the other guy with abandon so you could succeed.

Shut up and calculate!” certainly doesn’t sound appealing if you’re not mathematically inclined. But, even if you’re a physicist, what’s the virtue in shutting up and calculating? Mermin himself provided the answer in his 1989 article. “It is a fact about the quantum theory of paramount importance which ought to be emphasized in every popular and semi-popular exposition, that it permits us to calculate measurable quantities with unprecedented precision.” Quantum physics works. The calculations enabled by the theory are astonishing in their range of applicability and the accuracy of their results. Quantum physics tells us how long it will take to heat up your frying pan to cook your eggs and how large a dying white dwarf star can be without collapsing. It reveals the exact shape of the double helix at the core of life, it tells us the age of the immortal cattle on the rock walls at Lascaux, it speaks of atoms split beneath the stone heart of Africa eons before Oppenheimer and the blinding light of Trinity. It predicts with uncanny accuracy the precise darkness of the blackest night. It shows us the history of the universe in a handful of dust. If shutting up is the price of doing these calculations, then pass the ball gag and break out the graph paper.

Let me take you back in time a little,” says Anumita Roychowdhury, an elegant woman in a beige and pale blue wrap. She’s the director of the Center for Science and Environment, a group that’s played a leading role in the years of battles over air quality. In the 1990s, she tells me, Delhi’s air was so bad “you couldn’t go out in the city without your eyes watering.” India had no regulations on vehicles or fuel, so despite advances elsewhere in the world, engines here hadn’t improved for 40 years, and fuel quality was abysmal. It was the activist Supreme Court that changed that. Its judges started issuing orders, and from 1998 to about 2003, a series of important new rules came into force. Polluting industries were pushed out of the city, auto-rickshaws and buses were converted to CNG, and emission limits for vehicles were introduced, then tightened. “These were pretty big steps,” Roychowdhury says, and they brought results. “If you plot the graph of particulate matter in Delhi, you will see after 2002 the levels actually coming down.” The public noticed. “I still remember the 2004 Assembly elections in Delhi, where the political parties were actually fighting with each other to take credit for the cleaner air. It had become an electoral issue.” So how did things go so wrong? The burst of activity petered out, and rapid growth in car ownership erased the improvements that had been won. “If you look at the pollution levels again from 2008 and ’09 onwards, you now see a steady increase,” Roychowdhury says. “We could not keep the momentum going.” Indeed, particulate levels jumped 75 percent in just a few years.14 Even the action that was taken, she believes, “was too little. We had to do a lot more, more aggressively.” Part of the reason government stopped pushing, Roychowdhury believes, is that the moves needed next would have had to address Delhiites’ growing fondness for cars, so would surely have prompted public anger. “There is a hidden subsidy for all of us who use cars today,” she says. “We barely pay anything in terms of parking charges, we barely pay anything in terms of road taxes. It is so easy to buy a car because of easy loans. So there is absolutely no disincentive.” About 80 percent of transportation spending is focused on drivers, even though they’re only about 15 percent of Delhiites. “The entire infrastructure of the city is getting redesigned to facilitate car movement, but not people’s movement.

That’s the thing with data; if you pull any graph out far enough, the peaks and troughs flatten out. Live long enough and life averages out.

Examine the value function in this figure at the origin, where both curves begin. Notice that the loss function is steeper than the gain function: it decreases more quickly than the gain function goes up. Roughly speaking, losses hurt about twice as much as gains make you feel good. This feature of the value function left me flabbergasted. There, in that picture, was the endowment effect. If I take away Professor Rosett’s bottle of wine, he will feel it as a loss equivalent to twice the gain he would feel if he acquired a bottle; that is why he would never buy a bottle worth the same market price as one in his cellar. The fact that a loss hurts more than an equivalent gain gives pleasure is called loss aversion. It has become the single most powerful tool in the behavioral economist’s arsenal. So, we experience life in terms of changes, we feel diminishing sensitivity to both gains and losses, and losses sting more than equivalently-sized gains feel good. That is a lot of wisdom in one image. Little did I know that I would be playing around with that graph for the rest of my career.

Once again he could hear the planet’s joints and lifeblood. Stirrings in the stone. Ancient events. Here, time was like water. The tiniest creatures were his fathers and mothers. The fossils were his children. It made him into remembrance itself. He let his bare palms ricochet upon the walls, drawing in the heat and the cold, the sharp and the smooth. Plunging, galloping, he pawed at the flesh of God. This magnificent rock. This fortress of their being. This was the Word. Earth. Moment by moment, step by step, he felt himself becoming prehistoric. It was a blessed release from human habits. In this vast, capillaried monastery, through these openings and fretted spillways and yawning chthonic fistulae, drinking from pools of water older than mammal life altogether, memory was simply memory. It was not something to be marked on calendars or stored in books or labeled in graphs or drawn on maps. You did not memorize memory any more than you memorized existence. He remembered his way deeper by the taste of the soil and by the drag of air currents that had no cardinal direction. He left behind the cartography of the Holy Land and its entry caves through Jebel el Lawz in the elusive Midian. He forgot the name of the Indian Ocean as he passed beneath it. He felt gold, soft and serpentine, standing from the walls, but no longer recognized it as gold. Time passed, but he gave up counting it. Days? Weeks? He lost his memory even as he gained it.

-It is possible to vastly compress most learning. In a surprising number of cases, it is possible to do something in 1-10 months that is assumed to take 1-10 years. -The more you compress things, the more physical limiters become a bottleneck. All learning is physically limited. The brain is dependent on finite quantities of neurotransmitters, memories require REM and non-REM (NREM) sleep for consolidation, etc. The learning graph is not unlike the stress-recovery-hyperadaptation curves of weight training. -The more extreme your ambition, just as in sports, the more you need performance enhancement via unusual schedules, diet, drugs, etc. -Most important: due to the bipolar nature of the learning process, you can forecast setbacks. If you don't, you increase the likelihood of losing morale and quitting before the inflection point.

The actual language of life is not the charts and graphs and stuff we map out to feel smart. The hidden language we are speaking is really about negotiating the feeling God used to give us.