Number Digits Quotes

Besides the obvious difference, there was not much distinction between losing a best friend and losing a lover: it was all about intimacy. One moment, you had someone to share your biggest triumphs and fatal flaws with; the next minute, you had to keep them bottled inside. One moment, you'd start to call her to tell her a snippet of news or to vent about your awful day before realizing you did not have that right anymore; the next, you could not remember the digits of her phone number.

the number 108 is held to be the most auspicious, a perfect three-digit multiple of three, its components adding up to 9, which is three threes. And 3, of course, is the number representing supreme balance.

Digital Minimalism A philosophy of technology use in which you focus your online time on a small number of carefully selected and optimized activities that strongly support things you value, and then happily miss out on everything else.

I deleted your number. Although I know the tired digits by heart, scout's honor, pinky promise. I am trying to talk myself out of every emotion I'm having, and of course, it is failing to a fault. I'm still sad, I'm still mad, I'm still heartbroken, I miss you.

Because talent won't be quiet, doesn't know how to be quiet," he said. "Whether it's a talent for safe-cracking, thought-reading, or dividing ten-digit numbers in your head, it screams to be used. It never shuts up. It'll wake you in the middle of your tiredest night, screaming, 'Use me, use me, use me! I'm tired of just sitting here! Use me, fuckhead, use me!

Because we’ve transformed the world from a place of scarcity to a place of overwhelming abundance: Drugs, food, news, gambling, shopping, gaming, texting, sexting, Facebooking, Instagramming, YouTubing, tweeting . . . the increased numbers, variety, and potency of highly rewarding stimuli today is staggering. The smartphone is the modern-day hypodermic needle, delivering digital dopamine 24/7 for a wired generation.

The whole idea of it makes me feel like I'm coming down with something, something worse than any stomach ache or the headaches I get from reading in bad light-- a kind of measles of the spirit, a mumps of the psyche, a disfiguring chicken pox of the soul. You tell me it is too early to be looking back, but that is because you have forgotten the perfect simplicity of being one and the beautiful complexity introduced by two. But I can lie on my bed and remember every digit. At four I was an Arabian wizard. I could make myself invisible by drinking a glass of milk a certain way. At seven I was a soldier, at nine a prince. But now I am mostly at the window watching the late afternoon light. Back then it never fell so solemnly against the side of my tree house, and my bicycle never leaned against the garage as it does today, all the dark blue speed drained out of it. This is the beginning of sadness, I say to myself, as I walk through the universe in my sneakers. It is time to say good-bye to my imaginary friends, time to turn the first big number. It seems only yesterday I used to believe there was nothing under my skin but light. If you cut me I could shine. But now when I fall upon the sidewalks of life, I skin my knees. I bleed.

To be clear, conversation-centric communication requires sacrifices. If you adopt this philosophy, you’ll almost certainly reduce the number of people with whom you have an active relationship. Real conversation takes time, and the total number of people for which you can uphold this standard will be significantly less than the total number of people you can follow, retweet, “like,” and occasionally leave a comment for on social media, or ping with the occasional text. Once you no longer count the latter activities as meaningful interaction, your social circle will seem at first to contract.

Prime numbers are useful for writing codes and in America they are classed as Military Material and if you find one over 100 digits you have to tell the CIA and they buy it off you for $10,000. But it would not be a very good way of making a living.

There’s a correlation between the number of digits on a man’s bank balance, and, the number of things that his woman is willing to forgive him for.

I understand, given her track record, "I should use a first and last name-- maybe even the last four digits of their social security number-- when making a reference to one of her boyfriends.

We need to unlearn our respect for education, since it has undermined our respect for ourselves. It's worth taking time to demistify it. [...] All the things an adolescent can be [...] are reduced to a three digit number. [...] We too can decide how to value our education instead of letting them value us.

The Ludolphian number is fixed in eternity— not a digit out of place, all characters in their proper order, an endless sentence written to the end of the world by the division of the circle’s diameter into its circumference.

A glance toward her digital clock showed the numbers twitching and randomly changing on their own, as though her clock couldn’t make up its mind on what time it wanted to be.

Identity” had been forever changed by the Internet; formerly it had meant “who you really are” but now it meant “any one of a number of persistent faces that you can present to the digital universe.

The days of the digital watch are numbered.

And even in spite of my ovaries, I can remember a simple two-digit number.

Prime numbers are useful for writing codes and in America they are classed as Military Material and if you find one over 100 digits long you have to tell the CIA and they buy it off you for $10,000.

Every time we look at the clock, we must learn to feel a sense of urgency. We must learn to realize that “now” is happening and will very soon be gone. We must look at the digits on the display and be overcome with an urge to do something before those digits change. Before “now” slips through our fingers. We must look at the ink on the calendar and see an immediate opportunity to do something wonderful, incredible, or beautiful. It’s that simple. We need to change our thinking from “when the number changes” to “before the number changes”.

Being less available over text, in other words, has a way of paradoxically strengthening your relationship even while making you (slightly) less available to those you care about. This point is crucial because many people fear that their relationships will suffer if they downgrade this form of lightweight connection. I want to reassure you that it will instead strengthen the relationships you care most about. You can be the one person in their life who actually talks to them on a regular basis, forming a deeper, more nuanced relationship than any number of exclamation points and bitmapped emojis can provide.

KANAYA: Karkat What Is He Doing Here KARKAT: WOW, GREAT QUESTION! KARKAT: WHY DON'T YOU TAKE A FUCKING NUMBER AND GET IN LINE FOR THAT ONE!!! KARKAT: I'VE ALREADY GOT MINE! IT'S THE FIRST NUMBER THERE IS. AN ANGRY, TREMBLING DIGIT, TOWERING AND ERECT, POINTING DIRECTLY AT THE TRASHFACED KINGPIN OF INEXPLICABLE HORSESHIT HIMSELF, *GOD*!!!!!

the pupils are sensitive indicators of mental effort—they dilate substantially when people multiply two-digit numbers,

With a large enough number, a single digit will not have any impact. It's when you isolate the numbers, set them apart, that they become important on their own.

She saw how Kusha correctly guessed the High Auction’s ticket number one digit at a time. If you have a lottery-guessing sister, it’s hard not to feel excited.

Kusha, settling into the driver’s seat of the truck, gazes vacantly in the air. Is it safe to go now? (a) Yes (b) No: she wonders and soon finds the answer with her intuition-like alarm. It’s easy to pick the right one when the options are only two. “Yes. It’s safe.” “I love your intuition!” Taha says. “It’s unfair you don’t tell me the war hero action-figure winning numbers.” She makes a sad face. She saw how Kusha correctly guessed the High Auction’s ticket number one digit at a time. If you have a lottery-guessing sister, it’s hard not to feel excited.

Quite a few people still listen to vinyl records, use film cameras to take photographs, and look up phone numbers in the printed Yellow Pages. But the old technologies lose their economic and cultural force. They become progress’s dead ends. It’s the new technologies that govern production and consumption, that guide people’s behavior and shape their perceptions. That’s why the future of knowledge and culture no longer lies in books or newspapers or TV shows or radio programs or records or CDs. It lies in digital files shot through our universal medium at the speed of light.

I am forever busy working, because I want to work until get a personal call from the bank. Telling me that they cant add more zeros in my account. The number is too long , that they have rounded it off, but still cant add more digits to it.

the cipher was based on the product of two hundred-digit prime numbers, and the National Security Agency had staked its reputation on the claim that the fastest computer in existence could not crack it before the Big Crunch at the end of the Universe.

Hence 8197. He liked 97 because it was the largest two-digit prime number, and he loved 81 because it was absolutely the only number out of all the literally infinite possibilities whose square root was also the sum of its digits. Square root of eighty-one was nine, and eight and one made nine. No other nontrivial number in the cosmos had that kind of sweet symmetry. Perfect.

It’s that time of the month again… As we head into those dog days of July, Mike would like to thank those who helped him get the toys he needs to enjoy his summer. Thanks to you, he bought a new bass boat, which we don’t need; a condo in Florida, where we don’t spend any time; and a $2,000 set of golf clubs…which he had been using as an alibi to cover the fact that he has been remorselessly banging his secretary, Beebee, for the last six months. Tragically, I didn’t suspect a thing. Right up until the moment Cherry Glick inadvertently delivered a lovely floral arrangement to our house, apparently intended to celebrate the anniversary of the first time Beebee provided Mike with her special brand of administrative support. Sadly, even after this damning evidence-and seeing Mike ram his tongue down Beebee’s throat-I didn’t quite grasp the depth of his deception. It took reading the contents of his secret e-mail account before I was convinced. I learned that cheap motel rooms have been christened. Office equipment has been sullied. And you should think twice before calling Mike’s work number during his lunch hour, because there’s a good chance that Beebee will be under his desk “assisting” him. I must confess that I was disappointed by Mike’s over-wrought prose, but I now understand why he insisted that I write this newsletter every month. I would say this is a case of those who can write, do; and those who can’t do Taxes. And since seeing is believing, I could have included a Hustler-ready pictorial layout of the photos of Mike’s work wife. However, I believe distributing these photos would be a felony. The camera work isn’t half-bad, though. It’s good to see that Mike has some skill in the bedroom, even if it’s just photography. And what does Beebee have to say for herself? Not Much. In fact, attempts to interview her for this issue were met with spaced-out indifference. I’ve had a hard time not blaming the conniving, store-bought-cleavage-baring Oompa Loompa-skinned adulteress for her part in the destruction of my marriage. But considering what she’s getting, Beebee has my sympathies. I blame Mike. I blame Mike for not honoring the vows he made to me. I blame Mike for not being strong enough to pass up the temptation of readily available extramarital sex. And I blame Mike for not being enough of a man to tell me he was having an affair, instead letting me find out via a misdirected floral delivery. I hope you have enjoyed this new digital version of the Terwilliger and Associates Newsletter. Next month’s newsletter will not be written by me as I will be divorcing Mike’s cheating ass. As soon as I press send on this e-mail, I’m hiring Sammy “the Shark” Shackleton. I don’t know why they call him “the Shark” but I did hear about a case where Sammy got a woman her soon-to-be ex-husband’s house, his car, his boat and his manhood in a mayonnaise jar. And one last thing, believe me when I say I will not be letting Mike off with “irreconcilable differences” in divorce court. Mike Terwilliger will own up to being the faithless, loveless, spineless, useless, dickless wonder he is.

Consider also the special word they used: survivor. Something new. As long as they didn't have to say human being. It used to be refugee, but by now there was no such creature, no more refugees, only survivors. A name like a number -- counted apart from the ordinary swarm. Blue digits on the arm, what difference? They don't call you a woman anyhow. Survivor. Even when your bones get melted into the grains of the earth, still they'll forget human being. Survivor and survivor and survivor; always and always. Who made up these words, parasites on the throat of suffering!

The hardhearted person never sees people as a people, but rather as mere objects or as impersonal cogs in an ever-turning wheel. In the vast wheel of industry, he sees men as hands. In the massive wheel of big city life, he sees men as digits in a multitude. In the deadly wheel of army life, he sees men as numbers in a regiment. He depersonalizes life.

We have become so inundated with information that the average person in the United States now reads daily the same number of words as is found in many a novel. Unfortunately, this form of reading is rarely continuous, sustained, or concentrated; rather, the average 34 gigabytes consumed by most of us represent one spasmodic burst of activity after another.

Age was just a number, right? So what if hers happened to be in the quadruple digits?

It's good netiquette to get to know someone in social media before giving out your phone number. NetworkEtiquette.net

The cute girl at the bar asked for my number. I told her I’m number one. Then I gave her the area code and the following seven digits.

The Boardroom Paradox: Harden the softest like culture, and soften the hardest like number.

Pick a number between ten and a thousand. Don’t tell me what it is. [Thinks … 575] Add the digits together. [17] Add them again. [8] Add 3. [11] Subtract this from the original number. [564] Add the digits together. [15] Find the remainder left when you divide by nine. [6] Square it. [36] Add 6. [42] The number in your head now is … 42? [Yes!] Now try it once again…

An eerie aspect of social media is the way the dead’s account lingers in digital space as a floating memorial. Friends post emotional farewells as if the departed will read them. But we all know that those words are for the rest of the world as if to flaunt their bond with the deceased like a new car or engagement ring. Just like any material possession that ceases production, a person’s value amplifies when they are dead. They have no future. They have no present. Their past becomes a limited resource that everyone is desperate to snag a piece of.

In the end, he settled on posting one picture every week of whatever personal art project he happens to be working on. “It’s a great way for me to have a visual archive of my projects,” he explained. He also follows only a small number of accounts, all of which belong to artists whose work inspires him—making the experience of checking his feed both fast and meaningful.

Frankly, the overwhelming majority of academics have ignored the data explosion caused by the digital age. The world’s most famous sex researchers stick with the tried and true. They ask a few hundred subjects about their desires; they don’t ask sites like PornHub for their data. The world’s most famous linguists analyze individual texts; they largely ignore the patterns revealed in billions of books. The methodologies taught to graduate students in psychology, political science, and sociology have been, for the most part, untouched by the digital revolution. The broad, mostly unexplored terrain opened by the data explosion has been left to a small number of forward-thinking professors, rebellious grad students, and hobbyists. That will change.

The Bureaus of Prisons in states across America know this well; many of them project the number of prison beds they will need in the future based on third- or fourth-grade reading statistics.

The rule for working out prime numbers is really simple, but no one has ever worked out a simple formula for telling you whether a very big number is a prime number or what the next one will be. If a number is really, really big, it can take a computer years to work out whether it is a prime number. Prime numbers are useful for writing codes and in America they are classed as Military Material and if you find one over 100 digits long you have to tell the CIA and they buy it off you for $10,000. But it would not be a very good way of making a living. Prime numbers are what is left when you have taken all the patterns away. I think prime numbers are like life. They are very logical but you could never work out the rules, even if you spent all your time thinking about them.

As we strolled into the hospital, I couldn’t help thinking about Maroon 5’s “Harder to Breathe” because I was having a difficult time staying calm. I had been kidnapped and beaten senseless by an agent of Lucifer, and yet the white coats the doctors wore scared me just as badly. The men who had taken me from my mother wore those same damned lab coats. Every time I saw one, it awakened a dormant fear inside me—fear that I’d be dragged away from someone I loved again, fear that I’d be placed into the waiting hands of another horrible person. It would never truly go away. Michael’s shoulder bumped mine, which shook me out of my thoughts. I glanced at him. “What?” “You’re frowning.” “Am I supposed to be smiling right now?” He faced forward, looking at our reflection in the elevator doors. “No, but you look like you’re about to bolt at any second.” I watched the digital numbers change one by one as we rose up to the right floor, fiddling with the rosary in the pocket of my leather jacket. Somehow, the beads had a calming effect on me. “I’m fine.” “Hard ass.” A tiny smirk touched my lips. “Stop thinking about my butt. You’re an archangel.” He grinned, but didn’t reply.

When I was a med student, the first patient I met with this sort of problem was a sixty-two-year-old man with a brain tumor. We strolled into his room on morning rounds, and the resident asked him, “Mr. Michaels, how are you feeling today?” “Four six one eight nineteen!” he replied, somewhat affably. The tumor had interrupted his speech circuitry, so he could speak only in streams of numbers, but he still had prosody, he could still emote: smile, scowl, sigh. He recited another series of numbers, this time with urgency. There was something he wanted to tell us, but the digits could communicate nothing other than his fear and fury. The team prepared to leave the room; for some reason, I lingered. “Fourteen one two eight,” he pleaded with me, holding my hand. “Fourteen one two eight.” “I’m sorry.” “Fourteen one two eight,” he said mournfully, staring into my eyes. And then I left to catch up to the team. He died a few months later, buried with whatever message he had for the world.

There is a phenomenon that occurs in the minds of many manic depressives when entering into either a manic or a depressive state that nobody claims to understand, but that bipolars from the far corners of the world can attest to: the consistent waking up at four o’clock in the morning. And when I say four o’clock, I mean four o’clock on the fucking dot. How many times have I given myself chills, waking up yet again after only two hours of sleep and looking over at the blinking red of a digital alarm clock only to see that number staring back at me? I’ve lost count. And the thing is, you don’t just wake up. You wake up with your mind racing, music churning over and over inside your head, the internal noise, words, pictures, absolutely unbearable, and it is absolutely impossible to go back to sleep.

He looked past Chin toward streams of numbers running in opposite directions. He understood how much it meant to him, the roll and flip of data on a screen. He studied the figural diagrams that brought organic patterns into play, birdwing and chambered shell. It was shallow thinking to maintain that numbers and charts were the cold compression of unruly human energies, every sort of yearning and midnight sweat reduced to lucid units in the financial markets. "In fact data itself was soulful and glowing, a dynamic aspect of the life process. This was the eloquence of alphabets and numeric systems, now fully realized in electronic form, in the zero-oneness of the world, the digital imperative that defined every breath of the planet's living billions. Here was the heave of the biosphere. Our bodies and oceans were here, knowable and whole.

the very beginning of time until the year 2003,” says Google Executive Chairman Eric Schmidt, “humankind created five exabytes of digital information. An exabyte is one billion gigabytes—or a 1 with eighteen zeroes after it. Right now, in the year 2010, the human race is generating five exabytes of information every two days. By the year 2013, the number will be five exabytes produced every ten minutes … It’s no wonder we’re exhausted.

We are accustomed to think of ourselves as a great democratic body, linked by common ties of blood and language, united indissolubly by all the modes of communication which the ingenuity of man can possibly devise; we wear the same clothes, eat the same diet, read the same newspapers, alike in everything but name, weight and number; we are the most collectivized people in the world, barring certain primitive peoples whom we consider backward in their development. And yet— yet despite all the outward evidences of being close-knit, interrelated, neighborly, good−humored, helpful, sympathetic, almost brotherly, we are a lonely people, a morbid, crazed herd thrashing about in zealous frenzy, trying to forget that we are not what we think we are, not really united, not really devoted to one another, not really listening, not really anything, just digits shuffled about by some unseen hand in a calculation which doesn't concern us.

The NSA had enormous resources and used a vast network in order to capture a large number of mobile conversations in a certain region simultaneously . Each individual call was separated and processed digitally by computers programmed to react to certain words, such as terrorist or Kalashnikov. If such a word occurred, the computer automatically sent an alarm, which meant that some operator would go in manually and listen to the conversation to decide whether it was of interest or not.

Fame has taken the place of religion in the 21st century. The Beyoncés and the Brangelinas of our world filling the void left by the gods and heroes of antiquity. But like most cliches, there's an element of truth to it. And the gods of old were merciless. For every Theseus who slays the Minotaur and returns home in triumph, there's an Ariadne abandoned on the isles of Naxos. There's an Aegeus, casting himself into the ocean at the sight of a black sail...In another life, I like to think that Luc O'Donnell and I might've worked out. In the short time I knew him, I saw a man with an endless potential trapped in a maze he couldn't even name. And from time to time, I think how many tens of thousands like him there must be in the world. Insignificant on a planet of billions, but a staggering number when considered as a whole. All stumbling about, blinded by reflected glory, never knowing where to step, or what to trust. Blessed and cursed by the Midas touch of our digital era divinity.

the time will come, and come soon, in which we shall have a knowledge of God and mind that is not less certain than that of figures and numbers, and in which the invention of machines will be no more difficult than the construction of problems in geometry.

Deception. What follows digitalization is deception, a period during which exponential growth goes mostly unnoticed. This happens because the doubling of small numbers often produces results so minuscule they are often mistaken for the plodder’s progress of linear growth. Imagine Kodak’s first digital camera with 0.01 megapixels doubling to 0.02, 0.02 to 0.04, 0.04 to 0.08. To the casual observer, these numbers all look like zero. Yet big change is on the horizon. Once these doublings break the whole-number barrier (become 1, 2, 4, 8, etc.), they are only twenty doublings away from a millionfold improvement, and only thirty doublings away from a billionfold improvement. It is at this stage that exponential growth, initially deceptive, starts becoming visibly disruptive.

The whole idea of it makes me feel Like I’m coming down with something, Something worse than any stomach ache Or the headaches I get from reading in bad light – A kind of measles of the spirit A mumps of the psyche, A disfiguring chicken pox of the soul. You tell me it is too early to be looking back, But that is because you have forgotten The perfect simplicity of being one And the beautiful complexity introduced by two But I can lie on my bed and remember every digit At four I was an Arabian wizard I could make myself invisible By drinking a glass of milk a certain way. At seven I was a solider, at nine a prince. But now I am mostly at the window Watching the late afternoon light. Back then it never fell so solemnly Against the side of my tree house, And my bicycle never leaned against the garage As it does today, All the dark blue speed drained out of it. This is the beginning of sadness, I say to myself, As I walk through the universe in my sneakers. It is time to say good-bye to my imagry friends, Time to turn the first big number.

As Page puts it, “Good ideas are always crazy until they’re not.” It’s a principle he’s tried to apply at Google. When Page and Sergey Brin began wondering aloud about developing ways to search the text inside of books, all of the experts they consulted said it would be impossible to digitize every book. The Google cofounders decided to run the numbers and see if it was actually physically possible to scan the books in a reasonable amount of time. They concluded it was, and Google has since scanned millions of books. “I’ve learned that your intuition about things you don’t know that much about isn’t very good,” Page said. “The way Elon talks about this is that you always need to start with the first principles of a problem. What are the physics of it? How much time will it take? How much will it cost? How much cheaper can I make it? There’s this level of engineering and physics that you need to make judgments about what’s possible and interesting. Elon is unusual in that he knows that, and he also knows business and organization and leadership and governmental issues.

It was haunting to be entangled in this obnoxious cycle. I want to get out of this viciousness. That pizza is staring at me. I think that slice of pie might hurt me. Thirty-five calories for an Oreo cookie; 75caloriesfor a slice of bread; 285 for a slice of pizza; 350for a plate of pasta. You know, maybe I’ll just study the digits of eggs, wheat, vegetables, apples, oranges. Ugh! Stop. It all hurts so much. That’s it. Make it stop. Please, I beg you. Just make it stop. I felt like the walking and living encyclopedia of numbers and digits.

Is any of it real? I mean, look at this. Look at it! A world built on fantasy. Synthetic emotions in the form of pills. Psychological warfare in the form of advertising. Mind-altering chemicals in the form of … food! Brainwashing seminars in the form of media. Controlled isolated bubbles in the form of social networks. Real? You want to talk about reality? We haven’t lived in anything remotely close to it since the turn of the century. We turned it off, took out the batteries, snacked on a bag of GMOs while we tossed the remnants in the ever-expanding Dumpster of the human condition. We live in branded houses trademarked by corporations built on bipolar numbers jumping up and down on digital displays, hypnotizing us into the biggest slumber mankind has ever seen. You have to dig pretty deep, kiddo, before finding anything real.

The fundamental problem with wokeness isn’t just that it offers the wrong answer to the question of who we are. The deeper problem is that it forecloses the possibility of shared solidarity as Americans. If we see each other as nothing more than the color of our skin, our gender, our sexual orientation, or the number of digits in our bank accounts, then it becomes impossibly difficult to find commonality with those who don’t share those characteristics. Yet if we define ourselves on a plurality of attributes, then we find our path to true solidarity as a people.

email, that ingenious twentieth-century invention whereby any random person on the planet can pester you, at any time they like, and at almost no cost to themselves, by means of a digital window that sits inches from your nose, or in your pocket, throughout your working day, and often on weekends, too. The “input” side of this arrangement—the number of emails that you could, in principle, receive—is essentially infinite. But the “output” side—the number of messages you’ll have time to read properly, reply to, or just make a considered decision to delete—is strictly finite.

a table and diagram showing exactly how the algorithm would be fed into the computer, step by step, including two recursive loops. It was a numbered list of coding instructions that included destination registers, operations, and commentary—something that would be familiar to any C++ coder today.

One of Hess’s findings especially captured my attention. He had noticed that the pupils are sensitive indicators of mental effort—they dilate substantially when people multiply two-digit numbers, and they dilate more if the problems are hard than if they are easy. His observations indicated that the response to mental effort is distinct from emotional arousal. Hess’s work did not have much to do with hypnosis, but I concluded that the idea of a visible indication of mental effort had promise as a research topic. A graduate student in the lab, Jackson Beatty, shared my enthusiasm and we got to work.

Erik Erikson writes that in their search for identity, adolescents need a place of stillness, a place to gather themselves.2 Psychiatrist Anthony Storr writes of solitude in much the same way. Storr says that in accounts of the creative process, “by far the greater number of new ideas occur during a state of reverie, intermediate between waking and sleeping.... It is a state of mind in which ideas and images are allowed to appear and take their course spontaneously . . . the creator need[s] to be able to be passive, to let things happen within the mind.”3 In the digital life, stillness and solitude are hard to come by.

The Industrial Revolution was based on two grand concepts that were profound in their simplicity. Innovators came up with ways to simplify endeavors by breaking them into easy, small tasks that could be accomplished on assembly lines. Then, beginning in the textile industry, inventors found ways to mechanize steps so that they could be performed by machines, many of them powered by steam engines. Babbage, building on ideas from Pascal and Leibniz, tried to apply these two processes to the production of computations, creating a mechanical precursor to the modern computer. His most significant conceptual leap was that such machines did not have to be set to do only one process, but instead could be programmed and reprogrammed through the use of punch cards. Ada saw the beauty and significance of that enchanting notion, and she also described an even more exciting idea that derived from it: such machines could process not only numbers but anything that could be notated in symbols.

So, just as all Fords rolling off the assembly line in a given week might have serial numbers beginning with the same few characters, all the network chips in a given batch would start with the same few hex digits. Some of Dinah’s chips were cheap off-the-shelf hardware made for terrestrial use, but she also had some rad-hard ones, which she hoarded in a shielded box in a drawer beneath her workstation. She opened that drawer, pulled out that box, and took out a little green PC board, about the size of a stick of gum, with an assortment of chips mounted to it. Printed in white capital letters directly on the board was its MAC address. And its first half-dozen digits matched those in the transmission coming from the Space Troll.

It is important to note that the design of an entire brain region is simpler than the design of a single neuron. As discussed earlier, models often get simpler at a higher level—consider an analogy with a computer. We do need to understand the detailed physics ofsemiconductors to model a transistor, and the equations underlying a single real transistor are complex. A digital circuit that multiples two numbers requires hundreds of them. Yet we can model this multiplication circuit very simply with one or two formulas. An entire computer with billions of transistors can be modeled through its instruction set and register description, which can be described on a handful of written pages of text and formulas. The software programs for an operating system, language compilers, and assemblers are reasonably complex, but modeling a particular program—for example, a speech recognition programbased on hierarchical hidden Markov modeling—may likewise be described in only a few pages of equations. Nowhere in such a description would be found the details ofsemiconductor physics or even of computer architecture. A similar observation holds true for the brain. A particular neocortical pattern recognizer that detects a particular invariant visualfeature (such as a face) or that performs a bandpass filtering (restricting input to a specific frequency range) on sound or that evaluates the temporal proximity of two events can be described with far fewer specific details than the actual physics and chemicalrelations controlling the neurotransmitters, ion channels, and other synaptic and dendritic variables involved in the neural processes. Although all of this complexity needs to be carefully considered before advancing to the next higher conceptual level, much of it can be simplified as the operating principles of the brain are revealed.

I think one of the reasons that I feel empty after watching a lot of TV, and one of the things that makes TV seductive, is that it gives the illusion of relationships with people. It's a way to have people in the room talking and being entertaining, but it doesn't require anything of me. I mean, I can see them, they can't see me. And, and, they're there for me, and I can, I can receive from the TV, I can receive entertainment and stimulation. Without having to give anything back but the most tangential kind of attention. And that is very seductive. The problem is it's also very empty. Because one of the differences about having a real person there is that number one, I've gotta do some work. Like, he pays attention to me, I gotta pay attention to him. You know: I watch him, he watches me. The stress level goes up. But there's also, there's something nourishing about it, because I think like as creatures, we've all got to figure out how to be together in the same room. And so TV is like candy in that it's more pleasurable and easier than the real food. But it also doesn't have any of the nourishment of real food. And the thing, what the book is supposed to be about is, What has happened to us, that I'm now willing--and I do this too--that I'm willing to derive enormous amounts of my sense of community and awareness of other people, from television? But I'm not willing to undergo the stress and awkwardness and potential shit of dealing with real people. And that as the Internet grows, and as our ability to be linked up, like--I mean, you and I coulda done this through e-mail, and I never woulda had to meet you, and that woulda been easier for me. Right? Like, at a certain point, we're gonna have to build some machinery, inside our guts, to help us deal with this. Because the technology is just gonna get better and better and better and better. And it's gonna get easier and easier, and more and more convenient, and more and more pleasurable, to be alone with images on a screen, given to us by people who do not love us but want our money. Which is all right. In low doses, right? But if that's the basic main staple of your diet, you're gonna die. In a meaningful way, you're going to die.

The gathering of information to control people is fundamental to any ruling power. As resistance to land acquisition and the new economic policies spreads across India, in the shadow of outright war in Central India, as a containment technique, India’s government has embarked on a massive biometrics program, perhaps one of the most ambitious and expensive information gathering projects in the world—the Unique Identification Number (UID). People don’t have clean drinking water, or toilets, or food, or money, but they will have election cards and UID numbers. Is it a coincidence that the UID project run by Nandan Nilekani, former CEO of Infosys, ostensibly meant to “deliver services to the poor,” will inject massive amounts of money into a slightly beleaguered IT industry?50 To digitize a country with such a large population of the illegitimate and “illegible”—people who are for the most part slum dwellers, hawkers, Adivasis without land records—will criminalize them, turning them from illegitimate to illegal. The idea is to pull off a digital version of the Enclosure of the Commons and put huge powers into the hands of an increasingly hardening police state. Nilekani’s technocratic obsession with gathering data is consistent with Bill Gates’s obsession with digital databases, numerical targets, and “scorecards of progress” as though it were a lack of information that is the cause of world hunger, and not colonialism, debt, and skewed profit-oriented corporate policy.51

The problem with this game of special characteristics is that non-humans can never win. When we determine that parrots have the conceptual ability to understand and manipulate single-digit numbers, we demand that they be able to understand and manipulate double-digit numbers in order to be sufficiently like us. When a chimpanzee indicates beyond doubt that she has an extensive vocabulary, we demand that she exhibit certain levels of syntactical skill in order to demonstrate that her mind is like ours. The irony, of course, is that whatever characteristic we are talking about will be possessed by some nonhumans to a greater degree than some humans, but we would never think it appropriate to exploit those humans in the ways that we do nonhumans.

Ben developed a similarly Byzantine system for memorizing binary digits, which enables him to convert any ten-digit-long string of ones and zeros into a unique image. That’s 210, or 1,024, images set aside for binaries. When he sees 1101001001, he immediately sees it as a single chunk, an image of a card game. When he sees 0111011010, he instantaneously conjures up an image of a cinema. In international memory competitions, mental athletes are given sheets of 1,200 binary digits, thirty to a row, forty rows to a page. Ben turns each row of thirty digits into a single image. The number 110110100000111011010001011010, for example, is a muscleman putting a fish in a tin. At the time, Ben held the world record for having learned 3,705 random ones and zeroes in half an hour.

Luck is not some esoteric, godlike phenomenon. Luck is countable but undefinable. Luck easily can be explained by a number of factors acting in favour of a person. These factors' behaviour could be statistically proved, and the probability of such a result is possible. So, it is not an unexplainable event. Actually, the miracle would be if these events (luck) are not in presence in our life. So, make your luck!"

Where does meaning come in? If everything is assigned a number, does this diminish the meaning in the world? What Gödel (and Turing) proved is that formal systems will, sooner or later, produce meaningful statements whose truth can be proved only outside the system itself. This limitation does not confine us to a world with any less meaning. It proves, on the contrary, that we live in a world where higher meaning exists.

Today, Arabic numerals are in use pretty much around the world, while the words with which we name numbers naturally differ from language to language. And, as Dehaene and others have noted, these differences are far from trivial. English is cumbersome. There are special words for the numbers from 11 to 19 and for the decades from 20 to 90. This makes counting a challenge for English-speaking children, who are prone to such errors as “twenty-eight, twenty-nine, twenty-ten, twenty-eleven.” French is just as bad, with vestigial base-twenty monstrosities, like quatre-vingt-dix-neuf (four twenty ten nine) for 99. Chinese, by contrast, is simplicity itself; its number syntax perfectly mirrors the base-ten form of Arabic numerals, with a minimum of terms. Consequently, the average Chinese four-year-old can count up to forty, whereas American children of the same age struggle to get to fifteen. And the advantages extend to adults. Because Chinese number words are so brief—they take less than a quarter of a second to say, on average, compared with a third of a second for English—the average Chinese speaker has a memory span of nine digits, versus seven digits for English speakers. (Speakers of the marvelously efficient Cantonese dialect, common in Hong Kong, can juggle ten digits in active memory.)

From the very beginning of time until the year 2003,” says Google Executive Chairman Eric Schmidt, “humankind created five exabytes of digital information. An exabyte is one billion gigabytes—or a 1 with eighteen zeroes after it. Right now, in the year 2010, the human race is generating five exabytes of information every two days. By the year 2013, the number will be five exabytes produced every ten minutes … It’s no wonder we’re exhausted.

The number 6 was the first perfect number, and the number of creation. The adjective "perfect" was attached that are precisely equal to the sum of all the smaller numbers that divide into them, as 6=1+2+3. The next such number, incidentally, is 28=1+2+4+7+14, followed by 496=1+2+4+8+16+31+62+124+248; by the time we reach the ninth perfect number, it contains thirty-seven digits. Six is also the product of the first female number, 2, and the first masculine number, 3. The Hellenistic Jewish philosopher Philo Judaeus of Alexandria (ca. 20 B.C.-c.a. A.D. 40), whose work brought together Greek philosophy and Hebrew scriptures, suggested that God created the world in six days because six was a perfect number. The same idea was elaborated upon by St. Augustine (354-430) in The City of God: "Six is a number perfect in itself, and not because God created the world in six days; rather the contrary is true: God created the world in six days because this number is perfect, and it would remain perfect, even if the work of the six days did not exist." Some commentators of the Bible regarded 28 also as a basic number of the Supreme Architect, pointing to the 28 days of the lunar cycle. The fascination with perfect numbers penetrated even into Judaism, and their study was advocated in the twelfth century by Rabbi Yosef ben Yehudah Ankin in his book, Healing of the Souls.

Like gamblers, baseball fans and television networks, fishermen are enamored of statistics. The adoration of statistics is a trait so deeply embedded in their nature that even those rarefied anglers the disciples of Jesus couldn't resist backing their yarns with arithmetic: when the resurrected Christ appears on the morning shore of the Sea of Galilee and directs his forlorn and skunked disciples to the famous catch of John 21, we learn that the net contained not "a boatload" of fish, nor "about a hundred and a half," nor "over a gross," but precisely "a hundred and fifty three." This is, it seems to me, one of the most remarkable statistics ever computed. Consider the circumstances: this is after the Crucifixion and the Resurrection; Jesus is standing on the beach newly risen from the dead, and it is only the third time the disciples have seen him since the nightmare of Calvary. And yet we learn that in the net there were "great fishes" numbering precisely "a hundred and fifty three." How was this digit discovered? Mustn't it have happened thus: upon hauling the net to shore, the disciples squatted down by that immense, writhing fish pile and started tossing them into a second pile, painstakingly counting "one, two, three, four, five, six, seven... " all the way up to a hundred and fifty three, while the newly risen Lord of Creation, the Sustainer of all their beings, He who died for them and for Whom they would gladly die, stood waiting, ignored, till the heap of fish was quantified. Such is the fisherman's compulsion toward rudimentary mathematics! ....Concerning those disciples huddled over the pile of fish, another possibility occurs to me: perhaps they paid the fish no heed. Perhaps they stood in a circle adoring their Lord while He, the All-Curious Son of His All-Knowing Dad, counted them all Himself!

The number 65,536 is an awkward figure to everyone except a hacker, who recognizes it more readily than his own mother's date of birth: It happens to be a power of 2—216 power to be exact—and even the exponent 16 is equal to 24, and 4 is equal to 22. Along with 256; 32,768; and 2,147,483,648; 65,536 is one of the foundation stones of the hacker universe, in which 2 is the only really important number because that's how many digits a computer can recognize.

In Bletchley, in Britain, in 1943, in total secrecy, a brilliant mathematician, Alan Turing, is seeing his most incisive insight turned into physical reality. Turing has argued that numbers can compute numbers. To crack the Lorentz encoding machines of the German forces, a computer called Colossus has been built based on Turing’s principles: it is a universal machine with a modifiable stored program. Nobody realises it at the time, least of all Turing, but he is probably closer to the mystery of life than anybody else. Heredity is a modifiable stored program; metabolism is a universal machine. The recipe that links them is a code, an abstract message that can be embodied in a chemical, physical or even immaterial form. Its secret is that it can cause itself to be replicated. Anything that can use the resources of the world to get copies of itself made is alive; the most likely form for such a thing to take is a digital message—a number, a script or a word.

The choice of ten basic number symbols—that is, the Hindus’ choice of the base 10 for counting and doing arithmetic—is presumably a direct consequence of using fingers to count. When we reach ten on our fingers we have to find some way of starting again, while retaining the calculation already made. The role played by finger counting in the development of early number systems would explain why we use the word “digit” for the basic numerals, deriving from the Latin word digitus for finger.

Massive changes may have occurred in libraries in recent years, with new digital resources and services supplementing the old traditional resources and services, the dog-eared card catalogues ripped up and destroyed, workstations suddenly everywhere, but one essential aspect of “libraryness” has not changed: libraries remain places dedicated to storage. Books continue to be published in greater and greater numbers – so great in fact that there are no accurate figures as to exactly how many are published: some say one every thirty seconds, others four thousand per day, others a million per year – and somehow, whether through the off-site storage of the physical books themselves, or microfilm copying, or digital scanning, we remain obliged to keep up with or afloat in this vast deluge of paper. Even the new, high-tech rebranded libraries opened to great fanfare in the London Borough of Tower Hamlets in the 1990s could not get away from this essential fact of paper hoarding: they were called “Idea Stores.” - p.56

The measuring rod, the unit of information, is something called a bit (for binary digit). It is an answer - either yes or no- to an unambiguous question... The information content of the human brain expressed in bits is probably comparable to the total number of connections among the neurons- about a hundred trillion, 10^14 bits. If written out in English, say, that information would fill some twenty million volumes, as many as in the world's largest libraries. The equivalent of twenty million books is inside the heads of every one of us... When our genes could not store all the information necessary for survival, we slowly invented them. But then the time came, perhaps ten thousand years ago, when we needed to stockpile enormous quantities of information outside our bodies. We are the only species on the planet, so far as we know, to have invented a communal memory stored neither in our genes nor in our brains. The warehouse of that memory is called the library... The great libraries of the world contain millions of volumes, the equivalent of about 10^14 bits of information in words, and perhaps 10^15 bits in pictures. This is ten thousand times more than in our brains. If I finish a book a week, I will only read a few thousand books in my lifetime, about a tenth of a percent of the contents of the greatest libraries of our time. The trick is to know which books to read... Books permit us to voyage through time, to tap the wisdom of our ancestors. The library connects us with the insights and knowledge, painfully extracted from Nature, of the greatest minds that ever were, with the best teachers, drawn from the entire planet and from all of our history, to instruct us without tiring, and to inspire us to make our own contribution to the collective knowledge of the human species. Public libraries depend on voluntary contributions. I think the health of our civilization, the depth of our awareness about the underpinnings of our culture and our concern for the future can all be tested by how well we support our libraries. p224-233

because of the huge number of pages and links involved, Page and Brin named their search engine Google, playing off googol, the term for the number 1 followed by a hundred zeros. It was a suggestion made by one of their Stanford officemates, Sean Anderson, and when they typed in Google to see if the domain name was available, it was. So Page snapped it up. “I’m not sure that we realized that we had made a spelling error,” Brin later said. “But googol was taken, anyway. There was this guy who’d already registered Googol.com, and I tried to buy it from him, but he was fond of it. So we went with Google.”157 It was a playful word, easy to remember, type, and turn into a verb.IX Page and Brin pushed to make Google better in two ways. First, they deployed far more bandwidth, processing power, and storage capacity to the task than any rival, revving up their Web crawler so that it was indexing a hundred pages per second. In addition, they were fanatic in studying user behavior so that they could constantly tweak their algorithms.

As a young man, Bill Clinton began a collection of note cards upon which he would write names and phone numbers of friends and acquaintances who might be of service when he eventually entered politics. Each night, before he ever had a reason to, he would flip through the box, make phone calls, write letters, or add notations about their interactions. Over the years, this collection grew—to ten thousand cards (before it was eventually digitized). It’s what put him in the Oval Office and continues to return dividends.

Speaking of which, a Dominion brushed past me carrying the final digits to a half-dozen transcendental numbers. It passed them along to a whirling Throne who appeared to be acting as an impromptu sub-foreman, who passed them up the chain to where they could do some good. A cloud of Powers surveyed the damage and orchestrated the repair effort with a thousand-dimensional bird’s-eye view. Somebody had built scaffolding out of a mathematics both consistent and complete (chew on that, Gödel) and now the spackle went on one axiom at a time.

[Lemaire] has been working on the thirteenth-root challenge for a number of years. Previously, his best time had been a sluggish 77 seconds. Afterward, he told the press, "The first digit is very easy, the last digit is very easy, but the inside numbers are extremely difficult. I use an artificial intelligence system on my own brain instead of on a computer. I believe most people can do it,but I also have a high-speed mind. My brain works sometimes very, very fast.... I use a process to improve my skills to behave like a computer. It's like running a program in my head to control my brain." "Sometimes," he said, "when I do multiplication my brain works so fast that I need to take medication. I think somebody without a very fast brain can also do this kind of multiplication but this may be easier for me because my brain is faster." He practices math regularly. So that he can think faster, he exercises, doesn't drink caffeine or alcohol, and avoids foods that are high in sugar or fat. His experience of math is so intense that he also has to take regular time off to rest his brain. Otherwise, he thinks there is a danger that too much math could be bad for his health and his heart.

The sour old cow gave me a sum much more difficult than any I had encountered before: say, a four-digit number divided by a three-digit number. I guessed how to do it, and got it wrong. Without offering help, she told me to do it again. I failed a second time; she warned me to try hard; I did; I failed again; and she told me to hold my hand out and, grasping it firmly, she caned the palm three times, hard. My first reaction was astonishment: none of my kindergartens had been Catholic establishments, so I was unprepared for this kind of assault. Then it hurt, a lot! My precious palm! When I first started having therapy twenty-five years later, this was one of the first traumas I recalled, and I was astonished at the power of the feelings that came flooding back: anger—no, fury; self-pity; humiliation; a deep, deep sense of hurt; and a pure indignation at not so much the unfairness, but the insanity of punishing someone physically for getting an answer wrong. It is terrifying how much of this deeply unkind, utterly pointless, in fact, mind-bogglingly COUNTERPRODUCTIVE kind of behaviour was meted out to children over the centuries by half-witted, power-crazed zombies like this heinous old bat—a large proportion of such psychopaths allegedly acting in the name of an all-loving God. (A

Every year or so I like to take a step back and look at a few key advertising, marketing, and media facts just to gauge how far removed from reality we advertising experts have gotten. These data represent the latest numbers I could find. I have listed the sources below. So here we go -- 10 facts, direct from the real world: E-commerce in 2014 accounted for 6.5 percent of total retail sales. 96% of video viewing is currently done on a television. 4% is done on a web device. In Europe and the US, people would not care if 92% of brands disappeared. The rate of engagement among a brand's fans with a Facebook post is 7 in 10,000. For Twitter it is 3 in 10,000. Fewer than one standard banner ad in a thousand is clicked on. Over half the display ads paid for by marketers are unviewable. Less than 1% of retail buying is done on a mobile device. Only 44% of traffic on the web is human. One bot-net can generate 1 billion fraudulent digital ad impressions a day. Half of all U.S online advertising - $10 billion a year - may be lost to fraud. As regular readers know, one of our favorite sayings around The Ad Contrarian Social Club is a quote from Noble Prize winning physicist Richard Feynman, who wonderfully declared that “Science is the belief in the ignorance of experts.” I think these facts do a pretty good job of vindicating Feynman.

In fact, as these companies offered more and more (simply because they could), they found that demand actually followed supply. The act of vastly increasing choice seemed to unlock demand for that choice. Whether it was latent demand for niche goods that was already there or a creation of new demand, we don't yet know. But what we do know is that the companies for which we have the most complete data - netflix, Amazon, Rhapsody - sales of products not offered by their bricks-and-mortar competitors amounted to between a quarter and nearly half of total revenues - and that percentage is rising each year. in other words, the fastest-growing part of their businesses is sales of products that aren't available in traditional, physical retail stores at all. These infinite-shelf-space businesses have effectively learned a lesson in new math: A very, very big number (the products in the Tail) multiplied by a relatives small number (the sales of each) is still equal to a very, very big number. And, again, that very, very big number is only getting bigger. What's more, these millions of fringe sales are an efficient, cost-effective business. With no shelf space to pay for - and in the case of purely digital services like iTunes, no manufacturing costs and hardly any distribution fees - a niche product sold is just another sale, with the same (or better) margins as a hit. For the first time in history, hits and niches are on equal economic footing, both just entries in a database called up on demand, both equally worthy of being carried. Suddenly, popularity no longer has a monopoly on profitability.

Paradiso, XXXI,108 Diodorus Siculus tells the story of a god that is cut into pieces and scattered over the earth. Which of us, walking through the twilight or retracing some day in our past, has never felt that we have lost some infinite thing? Mankind has lost a face, an irrecoverable face, and all men wish they could be that pilgrim (dreamed in the empyrean, under the Rose) who goes to Rome and looks upon the veil of St. Veronica and murmurs in belief: My Lord Jesus Christ, very God, is this, indeed, Thy likeness in such fashion wrought?* There is a face in stone beside a path, and an inscription that reads The True Portrait of the Holy Face of the Christ of Jaén. If we really knew what that face looked like, we would possess the key to the parables, and know whether the son of the carpenter was also the Son of God. Paul saw the face as a light that struck him to the ground; John, as the sun when it shines forth in all its strength; Teresa de Jesús, many times, bathed in serene light, although she could never say with certainty what the color of its eyes was. Those features are lost to us, as a magical number created from our customary digits can be lost, as the image in a kaleidoscope is lost forever. We can see them and yet not grasp them. A Jew's profile in the subway might be the profile of Christ; the hands that give us back change at a ticket booth may mirror those that soldiers nailed one day to the cross. Some feature of the crucified face may lurk in every mirror; perhaps the face died, faded away, so that God might be all faces. Who knows but that tonight we may see it in the labyrinths of dream, and not know tomorrow that we saw it.

I saw a guy the other day at a wedding, and I told him my theory on why we’ve seen this explosion in comedies in the past fifteen years. Number one, America is tacking hard to the right. That sort of extremism always kind of kicks up the need to create comedy. But the second thing is Avid. What’s Avid? It’s a digital movie-editing program that directors use, and it’s incredibly helpful. I think Avid is hugely responsible for this boom in comedy. In the past, one would have to shoot the film and edit it, which was a big deal. Now, filmmakers can record the laughs from a test audience at a screening, and we can then cut to the rhythm of those laughs, the rhythm of the audience. We synchronize the laughs with the film. We can really get our timing down to a hundredth of a second. You can decide where you want your story to kick in, where you want a little bit of mood, where you want a hard laugh line. All of this can really be calibrated to these test screenings that we do. It doesn’t mean that it becomes mathematical. It still ultimately means that you have to make creative choices, but you can just really get a lot out of it. Sort of like surgery with a laser compared with a regular scalpel. We’re able to download a movie onto the computer and literally do all our edits in minutes. The precision is incredible. You play back the audio of the test screening and get everything timed just right. Like, “This laugh is losing this next line; let’s split the difference here.” You’re able to achieve this rolling energy. You can try experimental edits, and do multiple test screenings, and it’s all because you can move so fast with this program. Comedy is the one genre that I think has just really benefited from this more than any other.

He'd seen that the young ones died quickly. He'd heard the staff talk about it. When they were ready they let go. Not like adults. Adults took a long time. It was as if adults had built such a thick, petrified husk around them that this alone gave them the strength, the form to hold on. And by the transient revival that so often came to the dying, adults seemed to find a last little puff of life before the end. They had a term for it here at the hospital -- hui guang fan zhao, the reflected rays of the setting sun. Children were lacking in this. They went quickly. He watched as the DOWN light came on and the elevator door slid open. He had a fear that his life now was just an interlude of hui guang fan zhao, a brief moment before it all came back, worse. And for so long now he had been in this state by himself. He stared up at the digital floor numbers flashing, descending.

The PlayStation 4's errs not by being something other than what it is, but by holding on to the idea that its particular brand of novelty is in any way novel, by mistaking itself for figure rather than for ground. By calling itself "PlayStation 4" instead of just "PlayStation," because really all anyone wants is whatever PlayStation is made available, doing whatever things it ought to do at whatever moment it does them. Apple recognized this problem when it tried to correct the mistake of the "iPad 2" by reverting to its follow-up as just "the iPad," a name that still hasn't stuck. Leica, the old and traditional German photographic and optical equipment company, stopped numbering its digital M rangefinder cameras this year, after burning through as many numeric increments in six years as it had in the previous two decades. At some point, a camera is just a camera, no matter how nice it is.

Sergeant Vlaskin called out the radiation readings from the new instruments, and Logachev scribbled them down on a map, hand-drawn on a sheet of parchment paper in ballpoint pen and colored marker: 1 roentgen an hour; then 2, then 3. They turned left, and the figures began to rise quickly: 10, 30, 50, 100. “Two hundred fifty roentgen an hour!” the sergeant shouted. His eyes widened. “Comrade Lieutenant—” he began, and pointed at the radiometer. Logachev looked down at the digital readout and felt his scalp prickle with terror: 2,080 roentgen an hour. 7 An impossible number. Logachev struggled to remain calm and remember the textbook; to conquer his fear. But his training failed him, and the lieutenant heard himself screaming in panic at the driver, petrified that the vehicle would stall. “Why are you going this way, you son of a bitch? Are you out of your fucking mind?” he yelled. “If this thing dies, we’ll all be corpses in fifteen minutes!

Whoever makes the universe hides messages in transcendental numbers so they'll be read fifteen billion years later when intelligent life finally evolves. I criticized you and Rankin the time we first met for not understanding this. 'If God wanted us to know that he existed, why didn't he send us an unambiguous message?' I asked... ...Palmer, this is the only way. This is the only thing that would convince a skeptic. Imagine we find something. It doesn't have to be tremendously complicated. Just something more orderly than could accumulate by chance that many digits into pi. That's all we need. Then mathematicians all over the world can find exactly the same pattern or message or whatever it proves to be. Then there are no sectarian divisions. Everybody begins reading the same Scripture. No one could then argue that the key miracle in the religion was some conjurer's trick, or that later historians had falsified the record, or that it's just hysteria or delusion or a substitute parent for when we grow up. Everyone could be a believer.

Computational models of the mind would make sense if what a computer actually does could be characterized as an elementary version of what the mind does, or at least as something remotely like thinking. In fact, though, there is not even a useful analogy to be drawn here. A computer does not even really compute. We compute, using it as a tool. We can set a program in motion to calculate the square root of pi, but the stream of digits that will appear on the screen will have mathematical content only because of our intentions, and because we—not the computer—are running algorithms. The computer, in itself, as an object or a series of physical events, does not contain or produce any symbols at all; its operations are not determined by any semantic content but only by binary sequences that mean nothing in themselves. The visible figures that appear on the computer’s screen are only the electronic traces of sets of binary correlates, and they serve as symbols only when we represent them as such, and assign them intelligible significances. The computer could just as well be programmed so that it would respond to the request for the square root of pi with the result “Rupert Bear”; nor would it be wrong to do so, because an ensemble of merely material components and purely physical events can be neither wrong nor right about anything—in fact, it cannot be about anything at all. Software no more “thinks” than a minute hand knows the time or the printed word “pelican” knows what a pelican is. We might just as well liken the mind to an abacus, a typewriter, or a library. No computer has ever used language, or responded to a question, or assigned a meaning to anything. No computer has ever so much as added two numbers together, let alone entertained a thought, and none ever will. The only intelligence or consciousness or even illusion of consciousness in the whole computational process is situated, quite incommutably, in us; everything seemingly analogous to our minds in our machines is reducible, when analyzed correctly, only back to our own minds once again, and we end where we began, immersed in the same mystery as ever. We believe otherwise only when, like Narcissus bent above the waters, we look down at our creations and, captivated by what we see reflected in them, imagine that another gaze has met our own.

Oskar Schell: My father died at 9-11. After he died I wouldn't go into his room for a year because it was too hard and it made me want to cry. But one day, I put on heavy boots and went in his room anyway. I miss doing taekwondo with him because it always made me laugh. When I went into his closet, where his clothes and stuff were, I reached up to get his old camera. It spun around and dropped about a hundred stairs, and I broke a blue vase! Inside was a key in an envelope with black written on it and I knew that dad left something somewhere for me that the key opened and I had to find. So I take it to Walt, the locksmith. I give it to Stan, the doorman, who tells me keys can open anything. He gave me the phone book for all the five boroughs. I count there are 472 people with the last name black. There are 216 addresses. Some of the blacks live together, obviously. I calculated that if I go to 2 every Saturday plus holidays, minus my hamlet school plays, my minerals, coins, and comic convention, it's going to take me 3 years to go through all of them. But that's what I'm going to do! Go to every single person named black and find out what the key fits and see what dad needed me to find. I made the very best possible plan but using the last four digits of each phone number, I divide the people by zones. I had to tell my mother another lie, because she wouldn't understand how I need to go out and find what the key fits and help me make sense of things that don't even make sense like him being killed in the building by people that didn't even know him at all! And I see some people who don't speak English, who are hiding, one black said that she spoke to God. If she spoke to god how come she didn't tell him not to kill her son or not to let people fly planes into buildings and maybe she spoke to a different god than them! And I met a man who was a woman who a man who was a woman all at the same time and he didn't want to get hurt because he/she was scared that she/he was so different. And I still wonder if she/he ever beat up himself, but what does it matter? Thomas Schell: What would this place be if everyone had the same haircut? Oskar Schell: And I see Mr. Black who hasn't heard a sound in 24 years which I can understand because I miss dad's voice that much. Like when he would say, "are you up yet?" or... Thomas Schell: Let's go do something. Oskar Schell: And I see the twin brothers who paint together and there's a shed that has to be clue, but it's just a shed! Another black drew the same drawing of the same person over and over and over again! Forest black, the doorman, was a school teacher in Russia but now says his brain is dying! Seamus black who has a coin collection, but doesn't have enough money to eat everyday! You see olive black was a gate guard but didn't have the key to it which makes him feel like he's looking at a brick wall. And I feel like I'm looking at a brick wall because I tried the key in 148 different places, but the key didn't fit. And open anything it hasn't that dad needed me to find so I know that without him everything is going to be alright. Thomas Schell: Let's leave it there then. Oskar Schell: And I still feel scared every time I go into a strange place. I'm so scared I have to hold myself around my waist or I think I'll just break all apart! But I never forget what I heard him tell mom about the sixth borough. That if things were easy to find... Thomas Schell: ...they wouldn't be worth finding. Oskar Schell: And I'm so scared every time I leave home. Every time I hear a door open. And I don't know a single thing that I didn't know when I started! It's these times I miss my dad more than ever even if this whole thing is to stop missing him at all! It hurts too much. Sometimes I'm afraid I'll do something very bad.

Turing was offered a choice: imprisonment or probation contingent on receiving hormone treatments via injections of a synthetic estrogen designed to curb his sexual desires, as if he were a chemically controlled machine. He chose the latter, which he endured for a year. Turing at first seemed to take it all in stride, but on June 7, 1954, he committed suicide by biting into an apple he had laced with cyanide. His friends noted that he had always been fascinated by the scene in Snow White in which the Wicked Queen dips an apple into a poisonous brew. He was found in his bed with froth around his mouth, cyanide in his system, and a half-eaten apple by his side. Was that something a machine would have done? I. Stirling’s formula, which approximates the value of the factorial of a number. II. The display and explanations of the Mark I at Harvard’s science center made no mention of Grace Hopper nor pictured any women until 2014, when the display was revised to highlight her role and that of the programmers. III. Von Neumann was successful in this. The plutonium implosion design would result in the first detonation of an atomic device, the Trinity test, in July 1945 near Alamogordo, New Mexico, and it would be used for the bomb that was dropped on Nagasaki on August 9, 1945, three days after the uranium bomb was used on Hiroshima. With his hatred of both the Nazis and the Russian-backed communists, von Neumann became a vocal proponent of atomic weaponry.

The Memory Business Steven Sasson is a tall man with a lantern jaw. In 1973, he was a freshly minted graduate of the Rensselaer Polytechnic Institute. His degree in electrical engineering led to a job with Kodak’s Apparatus Division research lab, where, a few months into his employment, Sasson’s supervisor, Gareth Lloyd, approached him with a “small” request. Fairchild Semiconductor had just invented the first “charge-coupled device” (or CCD)—an easy way to move an electronic charge around a transistor—and Kodak needed to know if these devices could be used for imaging.4 Could they ever. By 1975, working with a small team of talented technicians, Sasson used CCDs to create the world’s first digital still camera and digital recording device. Looking, as Fast Company once explained, “like a ’70s Polaroid crossed with a Speak-and-Spell,”5 the camera was the size of a toaster, weighed in at 8.5 pounds, had a resolution of 0.01 megapixel, and took up to thirty black-and-white digital images—a number chosen because it fell between twenty-four and thirty-six and was thus in alignment with the exposures available in Kodak’s roll film. It also stored shots on the only permanent storage device available back then—a cassette tape. Still, it was an astounding achievement and an incredible learning experience. Portrait of Steven Sasson with first digital camera, 2009 Source: Harvey Wang, From Darkroom to Daylight “When you demonstrate such a system,” Sasson later said, “that is, taking pictures without film and showing them on an electronic screen without printing them on paper, inside a company like Kodak in 1976, you have to get ready for a lot of questions. I thought people would ask me questions about the technology: How’d you do this? How’d you make that work? I didn’t get any of that. They asked me when it was going to be ready for prime time? When is it going to be realistic to use this? Why would anybody want to look at their pictures on an electronic screen?”6 In 1996, twenty years after this meeting took place, Kodak had 140,000 employees and a $28 billion market cap. They were effectively a category monopoly. In the United States, they controlled 90 percent of the film market and 85 percent of the camera market.7 But they had forgotten their business model. Kodak had started out in the chemistry and paper goods business, for sure, but they came to dominance by being in the convenience business. Even that doesn’t go far enough. There is still the question of what exactly Kodak was making more convenient. Was it just photography? Not even close. Photography was simply the medium of expression—but what was being expressed? The “Kodak Moment,” of course—our desire to document our lives, to capture the fleeting, to record the ephemeral. Kodak was in the business of recording memories. And what made recording memories more convenient than a digital camera? But that wasn’t how the Kodak Corporation of the late twentieth century saw it. They thought that the digital camera would undercut their chemical business and photographic paper business, essentially forcing the company into competing against itself. So they buried the technology. Nor did the executives understand how a low-resolution 0.01 megapixel image camera could hop on an exponential growth curve and eventually provide high-resolution images. So they ignored it. Instead of using their weighty position to corner the market, they were instead cornered by the market.

What Cantor's Diagonal Proof does is generate just such a number, which let's call R. The proof is both ingenious and beautiful-a total confirmation of art's compresence in pure math. First, have another look at the above table. We can let the integral value of R be whatever X we want; it doesn't matter. But now look at the table's very first row. We're going to make sure R's first post-decimal digit, a, is a different number from the table's a1. It's easy to do this even though we don't know what particular number a1 is: let's specify that a=(a1-1) unless a1 happens to be 0, in which case a=9. Now look at the table's second row, because we're going to do the same thing for R's second digit b: b=(b2-1), or b=9 if b2=0. This is how it works. We use the same procedure for R's third digit c and the table's c3, for d and d4, for e and e5, and so on, ad inf. Even though we can't really construct the whole R (just as we can't really finish the whole infinite table), we can still see that this real number R=X.abcdefhi... is going to be demonstrably different from every real number in the table. It will differ from the table's 1st Real in its first post-decimal digit, from the 2nd Real in its second digit, from the 3rd Real in its third digit,...and will, given the Diagonal Method here, differ from the table's Nth Real in its nth digit. Ergo R is not-cannot be-included in the above infinite table; ergo the infinite table is not exhaustive of all the real numbers; ergo (by the rules of reductio) the initial assumption is contradicted and the set of all real numbers is not denumerable, i.e. it's not 1-1 C-able with the set of integers. And since the set of all rational numbers is 1-1C-able with the integers, the set of all reals' cardinality has got to be greater than the set of all rationals' cardinality. Q.E.D.*

Imagine yourself sitting at a computer, about to visit a website. You open a Web browser, type in a URL, and hit Enter. The URL is, in effect, a request, and this request goes out in search of its destination server. Somewhere in the midst of its travels, however, before your request gets to that server, it will have to pass through TURBULENCE, one of the NSA’s most powerful weapons. Specifically, your request passes through a few black servers stacked on top of one another, together about the size of a four-shelf bookcase. These are installed in special rooms at major private telecommunications buildings throughout allied countries, as well as in US embassies and on US military bases, and contain two critical tools. The first, TURMOIL, handles “passive collection,” making a copy of the data coming through. The second, TURBINE, is in charge of “active collection”—that is, actively tampering with the users. You can think of TURMOIL as a guard positioned at an invisible firewall through which Internet traffic must pass. Seeing your request, it checks its metadata for selectors, or criteria, that mark it as deserving of more scrutiny. Those selectors can be whatever the NSA chooses, whatever the NSA finds suspicious: a particular email address, credit card, or phone number; the geographic origin or destination of your Internet activity; or just certain keywords such as “anonymous Internet proxy” or “protest.” If TURMOIL flags your traffic as suspicious, it tips it over to TURBINE, which diverts your request to the NSA’s servers. There, algorithms decide which of the agency’s exploits—malware programs—to use against you. This choice is based on the type of website you’re trying to visit as much as on your computer’s software and Internet connection. These chosen exploits are sent back to TURBINE (by programs of the QUANTUM suite, if you’re wondering), which injects them into the traffic channel and delivers them to you along with whatever website you requested. The end result: you get all the content you want, along with all the surveillance you don’t, and it all happens in less than 686 milliseconds. Completely unbeknownst to you. Once the exploits are on your computer, the NSA can access not just your metadata, but your data as well. Your entire digital life now belongs to them.

As she explained to her students, patients often awoke from very bad illnesses or cardiac arrests, talking about how they had been floating over their bodies. “Mm-hmmm,” Norma would reply, sometimes thinking, Yeah, yeah, I know, you were on the ceiling. Such stories were recounted so frequently that they hardly jolted medical personnel. Norma at the time had mostly chalked it up to some kind of drug reaction or brain malfunction, something like that. “No, really,” said a woman who’d recently come out of a coma. “I can prove it.” The woman had been in a car accident and been pronounced dead on arrival when she was brought into the emergency room. Medical students and interns had begun working on her and managed to get her heartbeat going, but then she had coded again. They’d kept on trying, jump-starting her heart again, this time stabilizing it. She’d remained in a coma for months, unresponsive. Then one day she awoke, talking about the brilliant light and how she remembered floating over her body. Norma thought she could have been dreaming about all kinds of things in those months when she was unconscious. But the woman told them she had obsessive-compulsive disorder and had a habit of memorizing numbers. While she was floating above her body, she had read the serial number on top of the respirator machine. And she remembered it. Norma looked at the machine. It was big and clunky, and this one stood about seven feet high. There was no way to see on top of the machine without a stepladder. “Okay, what’s the number?” Another nurse took out a piece of paper to jot it down. The woman rattled off twelve digits. A few days later, the nurses called maintenance to take the ventilator machine out of the room. The woman had recovered so well, she no longer needed it. When the worker arrived, the nurses asked if he wouldn’t mind climbing to the top to see if there was a serial number up there. He gave them a puzzled look and grabbed his ladder. When he made it up there, he told them that indeed there was a serial number. The nurses looked at each other. Could he read it to them? Norma watched him brush off a layer of dust to get a better look. He read the number. It was twelve digits long: the exact number that the woman had recited. The professor would later come to find out that her patient’s story was not unique. One of Norma’s colleagues at the University of Virginia Medical Center at the time, Dr. Raymond Moody, had published a book in 1975 called Life After Life, for which he had conducted the first large-scale study of people who had been declared clinically dead and been revived, interviewing 150 people from across the country. Some had been gone for as long as twenty minutes with no brain waves or pulse. In her lectures, Norma sometimes shared pieces of his research with her own students. Since Moody had begun looking into the near-death experiences, researchers from around the world had collected data on thousands and thousands of people who had gone through them—children, the blind, and people of all belief systems and cultures—publishing the findings in medical and research journals and books. Still, no one has been able to definitively account for the common experience all of Moody’s interviewees described. The inevitable question always followed: Is there life after death? Everyone had to answer that question based on his or her own beliefs, the professor said. For some of her students, that absence of scientific evidence of an afterlife did little to change their feelings about their faith. For others,