Number Theory Quotes

The Hindu religion is the only one of the world’s great faiths dedicated to the idea that the Cosmos itself undergoes an immense, indeed an infinite, number of deaths and rebirths. It is the only religion in which the time scales correspond to those of modern scientific cosmology. Its cycles run from our ordinary day and night to a day and night of Brahma, 8.64 billion years long. Longer than the age of the Earth or the Sun and about half the time since the Big Bang.

The amount of violations of human rights in a country is always an inverse function of the amount of complaints about human rights violations heard from there. The greater the number of complaints being aired, the better protected are human rights in that country.

I'll tell you once, and I'll tell you again. There's always a prime between n and 2n.

I dug the untraceable phone Patch had given me out of my handbag and dialled his number. "I have a free couple of hours," I told him, walking toward my car, which was parked on the next block. "There's a very dark, very secluded barn in Lookout Hill Park behind the carousel. I could be there in fifteen minutes." I heard the smile in his voice."You want me bad." "I need and an endorphin boost." "And making out in an abandoned barn with me will give you one?" "No, it will probably put me in an endorphin coma, and I'm more than happy to test the theory.

We tend to think human knowledge as progressive; because we know more and more, our parents and grandparents are back numbers. But a contrary theory is possible - that we simply recognize different things at different times and in different ways.

Shepherd Book: What are we up to, sweetheart? River: Fixing your Bible. Book: I, um... What? River: Bible's broken. Contradictions, false logistics - doesn't make sense. Shepherd Book: No, no. You-you-you can't... River: So we'll integrate non-progressional evolution theory with God's creation of Eden. Eleven inherent metaphoric parallels already there. Eleven. Important number. Prime number. One goes into the house of eleven eleven times, but always comes out one. Noah's ark is a problem. Shepherd Book: Really? River: We'll have to call it early quantum state phenomenon. Only way to fit 5000 species of mammal on the same boat. Shepherd Book: River, you don't fix the Bible. River: It's broken. It doesn't make sense. Book: It's not about making sense. It's about believing in something, and letting that belief be real enough to change your life. It's about faith. You don't fix faith, River. It fixes you.

Don't let numbers tell you what to do. You are blood and earth, not theory and chalk.

Gödel saw beyond the surface level of number theory, realizing that numbers could represent any kind of structure.

At this point I think we need to embrace the weird. High-five it. Give it our phone number.

The history of atomism is one of reductionism – the effort to reduce all the operations of nature to a small number of laws governing a small number of primordial objects.

Do you know about the spoons? Because you should. The Spoon Theory was created by a friend of mine, Christine Miserandino, to explain the limits you have when you live with chronic illness. Most healthy people have a seemingly infinite number of spoons at their disposal, each one representing the energy needed to do a task. You get up in the morning. That’s a spoon. You take a shower. That’s a spoon. You work, and play, and clean, and love, and hate, and that’s lots of damn spoons … but if you are young and healthy you still have spoons left over as you fall asleep and wait for the new supply of spoons to be delivered in the morning. But if you are sick or in pain, your exhaustion changes you and the number of spoons you have. Autoimmune disease or chronic pain like I have with my arthritis cuts down on your spoons. Depression or anxiety takes away even more. Maybe you only have six spoons to use that day. Sometimes you have even fewer. And you look at the things you need to do and realize that you don’t have enough spoons to do them all. If you clean the house you won’t have any spoons left to exercise. You can visit a friend but you won’t have enough spoons to drive yourself back home. You can accomplish everything a normal person does for hours but then you hit a wall and fall into bed thinking, “I wish I could stop breathing for an hour because it’s exhausting, all this inhaling and exhaling.” And then your husband sees you lying on the bed and raises his eyebrow seductively and you say, “No. I can’t have sex with you today because there aren’t enough spoons,” and he looks at you strangely because that sounds kinky, and not in a good way. And you know you should explain the Spoon Theory so he won’t get mad but you don’t have the energy to explain properly because you used your last spoon of the morning picking up his dry cleaning so instead you just defensively yell: “I SPENT ALL MY SPOONS ON YOUR LAUNDRY,” and he says, “What the … You can’t pay for dry cleaning with spoons. What is wrong with you?” Now you’re mad because this is his fault too but you’re too tired to fight out loud and so you have the argument in your mind, but it doesn’t go well because you’re too tired to defend yourself even in your head, and the critical internal voices take over and you’re too tired not to believe them. Then you get more depressed and the next day you wake up with even fewer spoons and so you try to make spoons out of caffeine and willpower but that never really works. The only thing that does work is realizing that your lack of spoons is not your fault, and to remind yourself of that fact over and over as you compare your fucked-up life to everyone else’s just-as-fucked-up-but-not-as-noticeably-to-outsiders lives. Really, the only people you should be comparing yourself to would be people who make you feel better by comparison. For instance, people who are in comas, because those people have no spoons at all and you don’t see anyone judging them. Personally, I always compare myself to Galileo because everyone knows he’s fantastic, but he has no spoons at all because he’s dead. So technically I’m better than Galileo because all I’ve done is take a shower and already I’ve accomplished more than him today. If we were having a competition I’d have beaten him in daily accomplishments every damn day of my life. But I’m not gloating because Galileo can’t control his current spoon supply any more than I can, and if Galileo couldn’t figure out how to keep his dwindling spoon supply I think it’s pretty unfair of me to judge myself for mine. I’ve learned to use my spoons wisely. To say no. To push myself, but not too hard. To try to enjoy the amazingness of life while teetering at the edge of terror and fatigue.

Sitting there on the heather, on our planetary grain, I shrank from the abysses that opened up on every side, and in the future. The silent darkness, the featureless unknown, were more dread than all the terrors that imagination had mustered. Peering, the mind could see nothing sure, nothing in all human experience to be grasped as certain, except uncertainty itself; nothing but obscurity gendered by a thick haze of theories. Man's science was a mere mist of numbers; his philosophy but a fog of words. His very perception of this rocky grain and all its wonders was but a shifting and a lying apparition. Even oneself, that seeming-central fact, was a mere phantom, so deceptive, that the most honest of men must question his own honesty, so insubstantial that he must even doubt his very existence.

How many people ruin themselves by laying out money on trinkets of frivolous utility? What pleases these lovers of toys is not so much the utility, as the aptness of the machines which are fitted to promote it. All their pockets are stuffed with little conveniences. They contrive new pockets, unknown in the clothes of other people, in order to carry a greater number. They walk about loaded with a multitude of baubles, in weight and sometimes in value not inferior to an ordinary Jew's-box, some of which may sometimes be of some little use, but all of which might at all times be very well spared, and of which the whole utility is certainly not worth the fatigue of bearing the burden.

In the business people with expertise, experience and evidence will make more profitable decisions than people with instinct, intuition and imagination.

The damp floor of the Internet sprouted Lecter theories like toadstools and sightings of the doctor rivaled those of Elvis in number.

Yangi, a philosopher, art historian and poet, had evolved a theory of why some objects - pots, baskets, cloth made by unknown craftsmen - were so beautiful. In his view, they expressed unconscious beauty because they had been made in such numbers that the craftsman had been liberated from his ego.

But just in proportion as this process of extermination has acted on an enormous scale, so must the number of intermediate varieties, which have formerly existed, be truly enormous. Why then is not every geological formation and every stratum full of such intermediate links? Geology assuredly does not reveal any such finely graduated organic chain; and this, perhaps, is the most obvious and serious objection which can be urged against the theory. The explanation lies, as I believe, in the extreme imperfection of the geological record.

The special knowledge you are about to learn will reveal a “letter theory” that was set into motion from the very first verse in your Bible. It is as though the divine author is telling the reader to expect Hebrew letters and numbers to weave messages, in the sub-text, through the rest of the Bible—starting with verse one.

I was reading a book about the cosmos recently,” he says, and then he looks around and goes, “Hold on, trust me, this relates.” The crowd laughs again. “And I was reading about different theories about the universe. I was really taken with this one theory that states that everything that is possible happens. That means that when you flip a quarter, it doesn’t come down heads or tails. It comes up heads and tails. Every time you flip a coin and it comes up heads, you are merely in the universe where the coin came up heads. There is another version of you out there, created the second the quarter flipped, who saw it come up tails. This is happening every second of every day. The world is splitting further and further into an infinite number of parallel universes where everything that could happen is happening. This is completely plausible, by the way. It’s a legitimate interpretation of quantum mechanics. It’s entirely possible that every time we make a decision, there is a version of us out there somewhere who made a different choice. An infinite number of versions of ourselves are living out the consequences of every single possibility in our lives. What I’m getting at here is that I know there may be universes out there where I made different choices that led me somewhere else, led me to someone else.” He looks at Gabby. “And my heart breaks for every single version of me that didn’t end up with you.

The universe is math on fire.

Der Zweck der Philosophie ist die logische Klärung der Gedanken. Die Philosophie ist keine Lehre, sondern eine Tätigkeit. Ein philosophisches Werk besteht wesentlich aus Erläuterungen. Das Resultat der Philosophie sind nicht »philosophische Sätze«, sondern das Klarwerden von Sätzen. Die Philosophie soll die Gedanken, die sonst, gleichsam, trübe und verschwommen sind, klar machen und scharf abgrenzen. 4.112 The object of philosophy is the logical clarification of thoughts. Philosophy is not a theory but an activity. A philosophical work consists essentially of elucidations. The result of philosophy is not a number of "philosophical propositions", but to make propositions clear. Philosophy should make clear and delimit sharply the thoughts which otherwise are, as it were, opaque and blurred.

There’s an economic theory out there that if you take the incomes of your five closest friends and average them, the resulting number will be pretty close to your own income. I think the same thing is true of our idea incomes. You’re only going to be as good as the stuff you surround yourself with.

In the mid 1980's I was asked by an american legal institution known as the Christic Legal Institute to compile a comic book that would detail the murky history of the C.I.A., from the end of the second world war, to the present day. Covering such things as the heroin smuggling during the Vietnam war, the cocaine smuggling during the war in Central America, the Kennedy assasination and other highlights. What I learned during the frankly horrifying research that I had to slog through in order to accomplish this, was that yes, there is a conspiracy, in fact there are a great number of conspiracies that are all tripping each other up. And all of those conspiracies are run by paranoid fantasists, and ham fisted clowns. If you are on a list targeted by the C.I.A., you really have nothing to worry about. If however you have a name similar to someone on a list targeted by the C.I.A., then you are dead? The main thing that I learned about conspiracy theory, is that conspiracy theorists believe in a conspiracy because that is more comforting. The truth of the world is that it is actually chaotic. The truth is that it is not The Iluminati, or The Jewish Banking Conspiracy, or the Gray Alien Theory. The truth is far more frightening. Nobody is in control. The world is rudderless...

It’s hard to deny that an alarming number of those who stood for peace, not war, were either killed by deranged lone gunmen or else died in suspicious circumstances. We refer of course to the likes of JFK, Martin Luther King, Benazir Bhutto, Bobby Kennedy and John Lennon, to name but a few.

In theory, the risk of business failure can be reduced to a number, the probability of failure multiplied by the cost of failure. Sure, this turns out to be a subjective analysis, but in the process your own attitudes toward financial risk and reward are revealed. By contrast, personal risk usually defies quantification. It's a matter of values and priorities, an expression of who you are. "Playing it safe" may simply mean you do not weigh heavily the compromises inherent in the status quo. The financial rewards of the moment may fully compensate you for the loss of time and fulfillment. Or maybe you just don't think about it. On the other hand, if time and satisfaction are precious, truly priceless, you will find the cost of business failure, so long as it does not put in peril the well-being of you or your family, pales in comparison with the personal risks of no trying to live the life you want today. Considering personal risk forces us to define personal success. We may well discover that the business failure we avoid and the business success we strive for do not lead us to personal success at all. Most of us have inherited notions of "success" from someone else or have arrived at these notions by facing a seemingly endless line of hurdles extending from grade school through college and into our careers. We constantly judge ourselves against criteria that others have set and rank ourselves against others in their game. Personal goals, on the other hand, leave us on our own, without this habit of useless measurement and comparison. Only the Whole Life Plan leads to personal success. It has the greatest chance of providing satisfaction and contentment that one can take to the grave, tomorrow. In the Deferred Life Plan there will always be another prize to covet, another distraction, a new hunger to sate. You will forever come up short.

Nobel laureate Steven Weinberg likens this multiple universe theory to radio. All around you, there are hundreds of different radio waves being broadcast from distant stations. At any given instant, your office or car or living room is full of these radio waves. However, if you turn on a radio, you can listen to only one frequency at a time; these other frequencies have decohered and are no longer in phase with each other. Each station has a different energy, a different frequency. As a result, your radio can only be turned to one broadcast at a time.Likewise, in our universe we are "tuned" into the frequency that corresponds to physical reality. But there are an infinite number of parallel realities coexisting with us in the same room, although we cannot "tune into" them. Although these worlds are very much alike, each has a different energy. And because each world consists of trillions upon trillions of atoms, this means that the energy difference can be quite large. Since the frequency of these waves is proportional to their energy (by Planck's law), this means that the waves of each world vibrate at different frequencies and cannot interact anymore. For all intents and purposes, the waves of these various worlds do not interact or influence each other.

Some numbers, even large ones, have no factors - except themselves, of course, and 1. These are called prime numbers, because everything they are starts with themselves. They are original, gnarled, unpredictable, the freaks of the number world.

However, The haven-Slocum Theory also points out that this course is not without risk. An even greater number of people dwelling on The Navidson Record have shown an increase in obsessiveness, insomnia, and incoherence: "Most of those who chose to abandon their interest soon recovered. A few, however, required counseling and in some instances medication and hospitalization. Three cases resulted in suicide.

It remains possible that there may exist (and even be empirically discoverable) a theorem-proving machine which in fact is equivalent to mathematical intuition, but cannot be proved to be so, nor even proved to yield only correct theorems of finitary number theory.

It may be appropriate to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something mysterious about the normal law since mathematicians think it is a law of nature whereas physicists are convinced that it is a mathematical theorem.

She'd heard theories in her time regarding the number-one enemy of everything, ranging from Osama bin Laden to premarital sex. The dust theory she liked.

A prize-winning science reporter, Simons had become the number-two editor at the Post a year before. An intent, sensitive man with a large nose, thin face and deep-set eyes, he looks like the kind of Harvard teaching assistant who carries a slide ruler strapped to his belt. But he is skillful with fragile egos, and also the perfect counterpoint to Bradlee. Bradlee is more like Woodward: he wants hard information first and is impatient with theories. -- Carl Bernstein, Bob Woodward

Although Capote had taken up the single-suspect theory, the Tate detectives had by now abandoned it. Their sole reason for adopting it in the first place—Garretson—was no longer a factor. Because of the number of victims, the location of their bodies, and the use of two or more weapons, they were now convinced that “at least two suspects” were

The number of games went up or down according to the brutal, elegant logic of the economics of fun: a certain amount of difficulty plus a certain amount of your friends plus a certain amount of interesting strangers plus a certain amount of reward plus a certain amount of opportunity equaled fun

In the fantasy I spun for myself that night before falling asleep, those deep dark secrets were revealed. That simple touch became a violent embrace, worthy of any bodice-ripper. There were a certain number of gleeful perversions committed on Ivan's battered leather sofa. And at some point in the fantasy, Ivan was a vampire, because I was sort of weird that way. He was a real, Gothic-style, Bram Stoker sort of vampire who bit people as a metaphor for having dubious-consent, alpha-male sex with them, I should point out. None of your modern, sensitive vampires for me. I appreciated the classics.

The debt isn’t the reason we can’t have nice things. Our broken thinking is. To fix our broken thinking, we need to overcome more than just an aversion to big numbers with the word debt attached. We need to beat back every destructive myth that hobbles our thinking.

a good theory is characterized by the fact that it makes a number of predictions that could in principle be disproved or falsified by observation.

Overwhelmed by life's complexity? Realize that our alphabet consists of only 26 letters, calculations are based on a set of 10 numbers, all variations in music are based on 7 musical notes, our DNA can be dissected into 4 letters and space on the Planck scale is probably made solely out of binary code

Common to the many theories about the birth trauma is the assumption that the feelings produced by this event were recorded and reside in some form in the brain. This assumption is supported by the great number of repetitious dreams of the “drainage pipe” variety

One possible solution to the grandfather paradox is the theory of multiverse originally set forth by Hugh Everett. According to multiverse theory, every version of our past and future histories exists, just in an alternate universe. For every event at the quantum level, the current universe splits into multiple universes. This means that for every choice you make, an infinite number of universes exist in which you made a different choice. The theory neatly solves the grandfather paradox by posting separate universes in which each possible outcome exists, thereby avoiding a paradox. In this way we get to live multiple lives. There is, for example, a universe where Samuel Kingsley does not derail his daughter's life. A universe where he does derail it but Natasha is able to fix it. A universe where he does derail it and she is not able to fix it. Natasha is not quite sure which universe she's living in now.

The structures of the multiverse are hidden by the reality principles of complex numbers in quantum physics. This is why the parallel universes that make up the multiverse can't be seen by each other.

Almost as an article of faith, some individuals believe that conspiracies are either kooky fantasies or unimportant aberrations. To be sure, wacko conspiracy theories do exist. There are people who believe that the United States has been invaded by a secret United Nations army equipped with black helicopters, or that the country is secretly controlled by Jews or gays or feminists or black nationalists or communists or extraterrestrial aliens. But it does not logically follow that all conspiracies are imaginary. Conspiracy is a legitimate concept in law: the collusion of two or more people pursuing illegal means to effect some illegal or immoral end. People go to jail for committing conspiratorial acts. Conspiracies are a matter of public record, and some are of real political significance. The Watergate break-in was a conspiracy, as was the Watergate cover-up, which led to Nixon’s downfall. Iran-contra was a conspiracy of immense scope, much of it still uncovered. The savings and loan scandal was described by the Justice Department as “a thousand conspiracies of fraud, theft, and bribery,” the greatest financial crime in history. Often the term “conspiracy” is applied dismissively whenever one suggests that people who occupy positions of political and economic power are consciously dedicated to advancing their elite interests. Even when they openly profess their designs, there are those who deny that intent is involved. In 1994, the officers of the Federal Reserve announced they would pursue monetary policies designed to maintain a high level of unemployment in order to safeguard against “overheating” the economy. Like any creditor class, they preferred a deflationary course. When an acquaintance of mine mentioned this to friends, he was greeted skeptically, “Do you think the Fed bankers are deliberately trying to keep people unemployed?” In fact, not only did he think it, it was announced on the financial pages of the press. Still, his friends assumed he was imagining a conspiracy because he ascribed self-interested collusion to powerful people. At a World Affairs Council meeting in San Francisco, I remarked to a participant that U.S. leaders were pushing hard for the reinstatement of capitalism in the former communist countries. He said, “Do you really think they carry it to that level of conscious intent?” I pointed out it was not a conjecture on my part. They have repeatedly announced their commitment to seeing that “free-market reforms” are introduced in Eastern Europe. Their economic aid is channeled almost exclusively into the private sector. The same policy holds for the monies intended for other countries. Thus, as of the end of 1995, “more than $4.5 million U.S. aid to Haiti has been put on hold because the Aristide government has failed to make progress on a program to privatize state-owned companies” (New York Times 11/25/95). Those who suffer from conspiracy phobia are fond of saying: “Do you actually think there’s a group of people sitting around in a room plotting things?” For some reason that image is assumed to be so patently absurd as to invite only disclaimers. But where else would people of power get together – on park benches or carousels? Indeed, they meet in rooms: corporate boardrooms, Pentagon command rooms, at the Bohemian Grove, in the choice dining rooms at the best restaurants, resorts, hotels, and estates, in the many conference rooms at the White House, the NSA, the CIA, or wherever. And, yes, they consciously plot – though they call it “planning” and “strategizing” – and they do so in great secrecy, often resisting all efforts at public disclosure. No one confabulates and plans more than political and corporate elites and their hired specialists. To make the world safe for those who own it, politically active elements of the owning class have created a national security state that expends billions of dollars and enlists the efforts of vast numbers of people.

What was very stylish yesterday is today very boorish, but the wheel turns, and what today is good-for-nothing will surely melt our hearts tomorrow or the day after. Don't throw out your old epigraphs: they could be useful to your grandchildren, if they still know how to read.

Tokyo is a model of that serial big-bang theory of the universe. It explodes at five P.M. and people matter is hurled to the suburbs, but by 5 A.M. the people-matter gravity reasserts itself, and everything surges back toward the center, where mass densens for the next explosion.

If someone were to propose that the planets go around the sun because all planet matter has a kind of tendency for movement, a kind of motility, let us call it an ‘oomph,’ this theory could explain a number of other phenomena as well. So this is a good theory, is it not? No. It is nowhere near as good as the proposition that the planets move around the sun under the influence of a central force which varies exactly inversely as the square of the distance from the center. The second theory is better because it is so specific; it is so obviously unlikely to be the result of chance. It is so definite that the barest error in the movement can show that it is wrong; but the planets could wobble all over the place, and, according to the first theory, you could say, ‘Well, that is the funny behavior of the ‘oomph.

Political philosophy reaches for the best regime, a regime so good that it can hardly exist. Political science advances a theory—in fact, a number of theories—that promises to bring agreement and put an end to partisan dispute.

Another crucial thing to question is why deniers even bother to quibble about the number of deaths. If one day it were proven only five million or 5.5 million Jews were exterminated, would it be any less an atrocity? What number would deniers suggest is low enough to say that genocide didn't occur and that it’s not important that humanity remembers the Holocaust and the lessons learnt?

The human mind is incapable of formulating (or mechanizing) all its mathematical intuitions, i.e., if it has succeeded in formulating some of them, this very fact yields new intuitive knowledge, e.g., the consistency of this formalism. This fact may be called the “incompletability” of mathematics. On the other hand, on the basis of what has been proved so far, it remains possible that there may exist (and even be empirically discoverable) a theorem proving machine which in fact is equivalent to mathematical intuition, but cannot be proved to be so, nor even be proved to yield only correct theorems of finitary number theory.

I believe, Jack, there are two kinds of people in the world. Killers and diers. Most of us are diers. We don't have the dispoisiton, the rage or whatever it takes to be a killer. We le death happen. We lie down and die. But think what it's like to be a killer. Think how exciting it is, in theory, to kill a person in direct confrontation. If he dies, you cannot. To kill him is to gain life-credit. The more people you kill, the more credit you store up. It explains any number of massacres, wars, executions. […] In theory, violence is a form of rebirth. The dier passively succumbs. The killer lives on. What a marvelous equation. - Murray (WN 290)

The special mark of the modern world is not that it is sceptical, but that it is dogmatic without knowing it. It says, in mockery of the old devotees, that they believed without knowing why they believed. But the moderns believe without knowing what they believe – and without even knowing that they do believe it. Their freedom consists in first freely assuming a creed, and then freely forgetting that they are assuming it. In short, they always have an unconscious dogma; and an unconscious dogma is the definition of a prejudice. They are the dullest and deadest of ritualists who merely recite their creed in their subconsciousness, as if they repeated their creed in their sleep. A man who is awake should know what he is saying, and why he is saying it – that is, he should have a fixed creed and relate it to a first principle. This is what most moderns will never consent to do. Their thoughts will work out to most interesting conclusions; but they can never tell you anything about their beginnings. They have always taken away the number they first thought of. They have always forgotten the very fact or fancy on which their whole theory depends.

Egoism holds, therefore, is that each man's happiness is the sole good--that a number of different things are each of them the only good thing there is--an absolute contradiction! No more complete and thorough refutation of any theory could be desired.

There is a most profound and beautiful question associated with the observed coupling constant, e - the amplitude for a real electron to emit or absorb a real photon. It is a simple number that has been experimentally determined to be close to 0.08542455. (My physicist friends won't recognize this number, because they like to remember it as the inverse of its square: about 137.03597 with about an uncertainty of about 2 in the last decimal place. It has been a mystery ever since it was discovered more than fifty years ago, and all good theoretical physicists put this number up on their wall and worry about it.) Immediately you would like to know where this number for a coupling comes from: is it related to pi or perhaps to the base of natural logarithms? Nobody knows. It's one of the greatest damn mysteries of physics: a magic number that comes to us with no understanding by man. You might say the "hand of God" wrote that number, and "we don't know how He pushed his pencil." We know what kind of a dance to do experimentally to measure this number very accurately, but we don't know what kind of dance to do on the computer to make this number come out, without putting it in secretly!

The great Baseball Hall-of-Famer Tom Seaver put it perfectly: In baseball, my theory is to strive for consistency, not to worry about the numbers. If you dwell on statistics you get shortsighted; if you aim for consistency, the numbers will be there at the end.

This is what the bourgeois political economists have done: they have treated value as a fact of nature, not a social construction arising out of a particular mode of production. What Marx is interested in is a revolutionary transformation of society, and that means an overthrow of the capitalist value-form, the construction of an alternative value-structure, an alternative value-system that does not have the specific character of that achieved under capitalism. I cannot overemphasize this point, because the value theory in Marx is frequently interpreted as a universal norm with which we should comply. I have lost count of the number of times I have heard people complain that the problem with Marx is that he believes the only valid notion of value derives from labor inputs. It is not that at all; it is a historical social product. The problem, therefore, for socialist, communist, revolutionary, anarchist or whatever, is to find an alternative value-form that will work in terms of the social reproduction of society in a different image. By introducing the concept of fetishism, Marx shows how the naturalized value of classical political economy dictates a norm; we foreclose on revolutionary possibilities if we blindly follow that norm and replicate commodity fetishism. Our task is to question it.

In a great number of the cosmogonic myths the world is said to have developed from a great water, which was the prime matter. In many cases, as for instance in an Indian myth, this prime matter is indicated as a solution, out of which the solid earth crystallized out.

Last is D, the number of spatial dimensions. Due to interest in M-theory, physicists have returned to the question of whether life is possible in higher or lower dimensions.

There’s an economic theory out there that if you take the incomes of your five closest friends and average them, the resulting number will be pretty close to your own income.

We had a working theory as a family that every tear Ma shed, Da would go out and kill some of our enemies to that exact number.

How vain the opinion is of some certain people of the East Indies, who think that apes and baboons, which are with them in great numbers, are imbued with understanding, and that they can speak but will not, for fear they should be imployed and set to work. —Antoine Le Grand, c. 1675

It turns out to be very difficult to devise a theory to describe the universe all in one go. Instead, we break the problem up into bits and invent a number of partial theories. Each of these partial theories describes and predicts a certain limited class of observations, neglecting the effects of other quantities, or representing them by simple sets of numbers. It may be that this approach is completely wrong. If everything in the universe depends on everything else in a fundamental way, it might be impossible to get close to a full solution by investigating parts of the problem in isolation. Nevertheless, it is certainly the way that we have made progress in the past.

Penny, while I subscribe to the many-worlds theory which posits the existence of an infinite number of Sheldons in an infinite number of universes - I assure you that in none of them am I dancing.

In theory, say you did have thousands of people—no, thousands of systems—enraged at a hypothetical Galactic Empire in a faraway galaxy. But they’re all upset over local matters, over particular grievances, and they never get together on anything. So they get no strength in numbers, no strategic advantages from cooperation. They’re easy to divide and conquer. And worst of all, no common spirit ever develops.

A world in which substantial numbers of Americans believe that the duly elected president of the United States is not legitimate is a world in which political compromise becomes substantially more difficult.

The role of dominance and submission in human sexuality cannot be overstated. Our survey suggests that the majority (over 50%) of humans are very aroused by either acting out or witnessing dominance or submission. But it gets crazier than that: While 45% of women taking our survey said they found the naked male form to be very arousing and 48% said they found the sight of a penis to very arousing, a heftier 53% said they found their partner acting dominant in a sexual context to be very arousing. Dominance is literally more likely to be very arousing to the average female than naked men or penises. To say: “Dominance and submission are tied to human arousal patterns” is more of an understatement than saying: “Penises are tied to human arousal patterns.” We have a delectable theory about what is going on here: If you look at all the emotional states that frequently get tied to arousal pathways, the vast majority of them seem to be proxies for behaviors that would have been associated with our pre-human ancestors’ and early humans’ dominance and submission displays. For example, things like humiliation, being taken advantage of, chains, being used, being useful, being constrained, a lack of freedom, being prey, and a lack of free will may all have been concepts and emotions important in early human submission displays. We posit that most of the time when a human is turned on by a strange emotional concept—being bound for instance—their brain is just using that concept as a proxy for a pre-human submission display and lighting up the neural pathways associated with it, creating a situation in which it looks like a large number of random emotional states are turning humans on, when in reality they all boil down to just a fuzzy outline of dominance and submission. Heck, speaking of binding as a submission display, there were similar ritualized submission displays in the early middle ages, in which a vassal would present their hands clasped in front of their lord and allow the lord to hold their clasped hands in a way that rendered them unable to unclasp them (this submission display to one’s lord is where the symbolism of the Christian kneeling and hands together during prayer ritual comes from). We suspect the concept of binding and defenselessness have played important roles in human submission displays well into pre-history. Should all this be the case, why on earth have our brains been hardwired to bind (hehe) our recognition of dominance and submission displays to our sexual arousal systems?!?

Yes, there is a conspiracy, indeed there are a great number of conspiracies, all tripping each other up... The main thing that I learned about conspiracy theories is that conspiracy theorists actually believe in the conspiracy because that is more comforting. The truth of the world is that it is chaotic. The truth is, that it is not the Jewish banking conspiracy, or the grey aliens, or the twelve-foot reptiloids from another dimension that are in control, the truth is far more frightening; no-one is in control, the world is rudderless.

The pattern recognition theory of mind that I articulate in this book is based on a different fundamental unit: not the neuron itself, but rather an assembly of neurons, which I estimate to number around a hundred. The wiring and synaptic strengths within each unit are relatively stable and determined genetically—that is the organization within each pattern recognition module is determined by genetic design. Learning takes place in the creation of connections between these units, not within them, and probably in the synaptic strengths of the interunit connections.

Our universe, extending immensely far beyond our present horizon, may itself be just one member of a possibly infinite ensemble. This ‘multiverse’ concept, though speculative, is a natural extension of current cosmological theories, which gain credence because they account for things that we do observe. The physical laws and geometry could be different in other universes, and this offers a new perspective on the seemingly special values that the six numbers take in ours.

We have also set up for them an edifying project for a continuous mitigation of their own tyranny, ascribing to them an unshakeable faith in the triumph of virtue, as well as in the moral justification of their crimes. These are the theories of well-meaning children who see everything in black or white, dream of nothing but angels or demons, and have no idea of the incredible number of hypocritical masks of every color and shape and size which men use to conceal their features when they have passed the age of devotion to ideals and have abandoned themselves unrestrainedly to their egotistic desires

Take a bar of metal and put a single notch in it. The two lengths thus defined have a relationship that can be expressed as the ratio between them. In theory, therefore, any rational number can be expressed with a single mark on a bar of metal. Using a simple alphabetic code, a mark that calculated to a ratio of .1215225 could be read as 12-15-22-5, or “l-o-v-e.” The complete plays of Shakespeare could be written in a single mark, if it were possible to measure accurately enough.

Two years ago, when leaders in neighboring Mathews County broached the subject of sea-level rise, Tea Partiers packed meetings, warning of an environmentalist plot to “put nature above man.” They linked a proposal to build dikes to a United Nations sustainability plan known as Agenda 21, which has inspired a number of conspiracy theories among far-right activists.

Under certain conditions, index numbers may do very useful service as an aid to investigation into the history and statistics of prices; for the extension of the theory of the nature and value of money they are unfortunately not very important.

One can today easily demonstrate that there can be no valid derivation of a law of nature from any finite number of facts; but we still keep reading about scientific theories being proved from facts. Why this stubborn resistance to elementary logic?

At what point will I be able to write an e-mail to my grandson in Bahrain merely by thinking it?" "Thinking it?" Alif smiled contemptuously. "I expect never. Quantum computing will be the next thing, but I don't think it will be capable of transcribing thought." "Quantum? Oh dear, I've never heard of that." It will use qubits instead of-well, that's kind of complicated. Regular computers use a binary language to figure things out and talk to each other-ones and zeroes. Quantum computers could use ones and zeroes in an unlimited number of states, so in theory, they could store massive amounts of data and perform tasks that regular computers can't perform." "States?" "Positions in space and time. Ways of being." "Now it is you who are metaphysical. Let me rephrase what I think you have said in language from my own field of study: they say that each word in the Quran has seven thousand layers of meaning, each of which, though some might seem contrary or simply unfathomable to us, exist equally at all times without cosmological contradiction. Is this similar to what you mean?" "Yes," he said. "That is exactly what I mean. I've never heard anybody make that comparison.

It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with the proofs of the theorems he discovered. In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems, and have even substituted extensive theories for the isolated propositions of Fermat. But there are several proofs which have resisted their efforts.

The owner of the means of production is in a position to purchase the labor power of the worker. By using the means of production, the worker produces new goods which become the property of the capitalist. The essential point about this process is the relation between what the worker produces and what he is paid, both measured in terms of real value. Insofar as the labor contract is "free," what the worker receives is determined not by the real value of the goods he produces, but by his minimum needs and by the capitalists' requirements for labor power in relation to the number of workers competing for jobs. It is important to understand that even in theory the payment of the worker is not determined by the value of his product.

There are some people, nevertheless — and I am one of them — who think that the most practical and important thing about a man is still his view of the universe. ... We think that for a general about to fight an enemy, it is important to know the enemy's numbers, but still more important to know the enemy's philosophy. We think the question is not whether the theory of the cosmos affects matters, but whether in the long run, anything else affects them.

Have you noticed how the Holocaust deniers only ever quibble over the number of Jewish deaths? Now why is that? The answer is very simple: Because they are anti-Semitic. It really is that simple. Anti-Semitism is one of the most aggressive forces on the planet, and has been since Biblical times. Had the Holocaust been a purge of any other race or group of people, everyone would most likely accept the facts. Who, for example, disputes that at least 800,000 Rwandans died in the genocide that occurred during the Rwandan civil war? Or that around 1.7 million Cambodians died in the Cambodian killing fields?

Now he was…dust. To an outside observer, these ten seconds had been ground up into ten thousand uncorrelated moments and scattered throughout real time - and in model time, the outside world had suffered an equivalent fate. Yet the pattern of his awareness remained perfectly intact: somehow he found himself, “assembled himself” from these scrambled fragments. He’d been taken apart like a jigsaw puzzle - but his dissection and shuffling were transparent to him. Somehow - on their own terms - the pieces remained connected. Imagine a universe entirely without structure, without shape, without connections. A cloud of microscopic events, like fragments of space-time … except that there is no space or time. What characterizes one point in space, for one instant? Just the values of the fundamental particle fields, just a handful of numbers. Now, take away all notions of position, arrangement, order, and what’s left? A cloud of random numbers. But if the pattern that is me could pick itself out from all the other events taking place on this planet, why shouldn’t the pattern we think of as ‘the universe’ assemble itself, find itself, in exactly the same way? If I can piece together my own coherent space and time from data scattered so widely that it might as well be part of some giant cloud of random numbers, then what makes you think that you’re not doing the very same thing?

A distinguished writer [Siméon Denis Poisson] has thus stated the fundamental definitions of the science: 'The probability of an event is the reason we have to believe that it has taken place, or that it will take place.' 'The measure of the probability of an event is the ratio of the number of cases favourable to that event, to the total number of cases favourable or contrary, and all equally possible' (equally like to happen). From these definitions it follows that the word probability, in its mathematical acceptation, has reference to the state of our knowledge of the circumstances under which an event may happen or fail. With the degree of information which we possess concerning the circumstances of an event, the reason we have to think that it will occur, or, to use a single term, our expectation of it, will vary. Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into certainty, and leave neither room nor demand for a theory of probabilities.

Of course, the set of logically consistent mathematical structures is many times larger than the set of physical principles. Therefore, some mathematical structures, such as number theory (which some mathematicians claim to be the purest branch of mathematics), have never been incorporated into any physical theory. Some argue that this situation may always exist: Perhaps the human mind will always be able to conceive of logically consistent structures that cannot be expressed through any physical principle. However, there are indications that string theory may soon incorporate number theory into its structure as well.

Realizing its fundamental importance in understanding spectral lines, in atomic physics and in the theory of how light and electrons interact, quantum electrodynamics, Pauli and Heisenberg were determined to derive it from quantum theory rather than introducing it from the start. They believed that if they could find a version of quantum electrodynamics capable of producing the fine structure constant, it would not contain the infinities that marred their theories.

From the dawn of civilization, human beings have tried to find out order in the chaotic world surrounding them. It has however never been easy to find a solution to explain a given system while being a part of that system. The best bet is to find out the most fundamental components within the system and building a theory round these. In other words, a theory that is able to describe the world in totality has to keep the number of basic postulates it depends upon to zero or near zero.

In 1967, the second resolution to the cat problem was formulated by Nobel laureate Eugene Wigner, whose work was pivotal in laying the foundation of quantum mechanics and also building the atomic bomb. He said that only a conscious person can make an observation that collapses the wave function. But who is to say that this person exists? You cannot separate the observer from the observed, so maybe this person is also dead and alive. In other words, there has to be a new wave function that includes both the cat and the observer. To make sure that the observer is alive, you need a second observer to watch the first observer. This second observer is called “Wigner’s friend,” and is necessary to watch the first observer so that all waves collapse. But how do we know that the second observer is alive? The second observer has to be included in a still-larger wave function to make sure he is alive, but this can be continued indefinitely. Since you need an infinite number of “friends” to collapse the previous wave function to make sure they are alive, you need some form of “cosmic consciousness,” or God. Wigner concluded: “It was not possible to formulate the laws (of quantum theory) in a fully consistent way without reference to consciousness.” Toward the end of his life, he even became interested in the Vedanta philosophy of Hinduism. In this approach, God or some eternal consciousness watches over all of us, collapsing our wave functions so that we can say we are alive. This interpretation yields the same physical results as the Copenhagen interpretation, so this theory cannot be disproven. But the implication is that consciousness is the fundamental entity in the universe, more fundamental than atoms. The material world may come and go, but consciousness remains as the defining element, which means that consciousness, in some sense, creates reality. The very existence of the atoms we see around us is based on our ability to see and touch them.

Remember, deniers claim 90 to 100% of all Holocaust deaths are some fantasy concocted years after the war. Rest assured the only books anywhere that talk about the tiny death toll numbers deniers believe in (i.e. tens of thousands or hundreds of thousands instead of millions) are Holocaust-denying books written by anti-Semitic “historians,” religious zealots or neo-Nazis. No mainstream history books ever published since 1945 mention a death toll that isn't in the millions for the Holocaust. Period.

Godel showed how a statement about any mathematical formal system (such as the assertion that Principia Mathematica is contradiction-free) can be translated into a mathematical statement inside number theory (the study of whole numbers). In other words, any metamathematical statement can be imported into mathematics, and in its new guise the statement simply asserts (as do all statements of number theory) that certain whole numbers have certain properties or relationships to each other. But on another level, it also has a vastly different meaning that, on its surface, seems as far removed from a statement of number theory as would be a sentence in a Dostoevsky novel.

Math is poetry, kid,” she growled. “Math is sex in the head. All that work of making your mind stroke the numbers? It’s a natural series of touches you already know by instinct. Once you get over your inhibitions, you can sit in class or lie in bed and practice formulae and sums, caress the equation till you find the climax of an elegant solution.

For example, I do a little bit of data analysis, like I was saying. For tech companies mostly. They’ll give me a lot of data – say user experience data, like how long users spend on each section of a website – and I’ll spend a few hours making graphs and whatnot. Say it takes me – I don’t know, four hours to make these graphs, and I’ll pretend it took me ten hours, to get extra money. He glances over at her again, and adds: You might think that’s immoral, I don’t know. But anyway, never mind that for a second. The four hours that I actually spend making the graphs, and the ten hours that I get paid for: what is that? Like, any of that: what is it? At least when I worked as a delivery driver, I knew what I was doing. Someone wanted a Big Mac, and I brought it to them, and the amount I got paid was like, what it was worth to that person not to have to collect their own burger. The amount they will pay, not to leave the house, is the amount I will accept, yes to leave the house. Minus whatever the app is taking. If you get me. I get you. You’re making perfect sense. Oh good, he says. Because in the data analysis example, my question is, what is the money that’s being paid to me? It’s the money that the company will pay, to have their own information explained back to them in a graph. And how much money should that be? Clearly no one knows, because at the end I’ll make up a number of hours and they’ll just pay me for that number. I guess the graph is supposed to make the company more profitable, in theory, but no one knows by how much, it’s all made up.

The "apparently normal personality" - the alter you view as "the client" You should not assume that the adult who function in the world, or who presents to you, week after week, is the "real" person, and the other personalities are less real. The client who comes to therapy is not "the" person; there are other personalities to meet and work with. When DID was still officially called MPD, the "person" who lived life on the outside was known as the "host" personality, and the other parts were known as alters. These terms, unfortunately, implied that all the parts other than the host were guests, and therefore of less importance than the host. They were somehow secondary. The currently favored theory of structural dissociation (Nijenhuis & Den Boer, 2009; van der Hart, Nijenhuis, & Steele, 2006), which more accurately describes the way personality systems operate, instead distinguishes between two kinds of states: the apparently normal personality, or ANP, and the emotional personality, or EP, both of which could include a number of parts. p21

The ‘real’ mathematics of the ‘real’ mathematicians, the mathematics of Fermat and Euler and Gauss and Abel and Riemann, is almost wholely ‘useless’ (and this is true of ‘applied’ as of ‘pure’ mathematics). It is not possible to justify the life of any genuine professional mathematician on the ground of the ‘utility’ of his work.… The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are, at present at any rate, almost as ‘useless’ as the theory of numbers. It

I was reading a book about the cosmos recently,” he says, and then he looks around and goes, “Hold on, trust me, this relates.” The crowd laughs again. “And I was reading about different theories about the universe. I was really taken with this one theory that states that everything that is possible happens. That means that when you flip a quarter, it doesn’t come down heads or tails. It comes up heads and tails. Every time you flip a coin and it comes up heads, you are merely in the universe where the coin came up heads. There is another version of you out there, created the second the quarter flipped, who saw it come up tails. This is happening every second of every day. The world is splitting further and further into an infinite number of parallel universes where everything that could happen is happening. This is completely plausible, by the way. It’s a legitimate interpretation of quantum mechanics. It’s entirely possible that every time we make a decision, there is a version of us out there somewhere who made a different choice. An infinite number of versions of ourselves are living out the consequences of every single possibility in our lives. What I’m getting at here is that I know there may be universes out there where I made different choices that led me somewhere else, led me to someone else.” He looks at Gabby. “And my heart breaks for every single version of me that didn’t end up with you.

[Egyptian] advances in medicine, however, as well as in other areas of science, were limited to their attempts to solve the problems confronting them. They did not attempt to probe into the realm of theory. "History for the Egyptians was the cyclic recurrence of the elements of the divine eternal order. Just as the land was reborn each year, so the pharaoh who died and became Osiris was reborn in Horus, his son and successor. The passage of time was marked by the succession of pharaohs, who were grouped into dynasties and numbered.

Fortunately analysis is not the only way to resolve inner conflicts. Life itself still remains a very effective therapist. Experience of any one of a number of kinds may be sufficiently telling to bring about personality changes. It may be the inspiring example of a truly great person; it may be a common tragedy which by bringing the neurotic in close touch with others takes him out of his egocentric isolation; it may be association with persons so congenial that manipulating or avoiding them appears less necessary. In other instances the consequences of neurotic behavior may be so drastic or of such frequent occurrence that they impress themselves on the neurotic's mind and make him less fearful and less rigid.

The advantage of this interpretation is that we can drop condition number three, the collapse of the wave function. Wave functions never collapse, they just continue to evolve, forever splitting into other wave functions, in a never-ending tree, with each branch representing an entire universe. The great advantage of the many worlds theory is that it is simpler than the Copenhagen interpretation: it requires no collapse of the wave function. The price we pay is that now we have universes that continually split into millions of branches.

Language as a Prison The Philippines did have a written language before the Spanish colonists arrived, contrary to what many of those colonists subsequently claimed. However, it was a language that some theorists believe was mainly used as a mnemonic device for epic poems. There was simply no need for a European-style written language in a decentralized land of small seaside fishing villages that were largely self-sufficient. One theory regarding language is that it is primarily a useful tool born out of a need for control. In this theory written language was needed once top-down administration of small towns and villages came into being. Once there were bosses there arose a need for written language. The rise of the great metropolises of Ur and Babylon made a common written language an absolute necessity—but it was only a tool for the administrators. Administrators and rulers needed to keep records and know names— who had rented which plot of land, how many crops did they sell, how many fish did they catch, how many children do they have, how many water buffalo? More important, how much then do they owe me? In this account of the rise of written language, naming and accounting seem to be language's primary "civilizing" function. Language and number are also handy for keeping track of the movement of heavenly bodies, crop yields, and flood cycles. Naturally, a version of local oral languages was eventually translated into symbols as well, and nonadministrative words, the words of epic oral poets, sort of went along for the ride, according to this version. What's amazing to me is that if we accept this idea, then what may have begun as an instrument of social and economic control has now been internalized by us as a mark of being civilized. As if being controlled were, by inference, seen as a good thing, and to proudly wear the badge of this agent of control—to be able to read and write—makes us better, superior, more advanced. We have turned an object of our own oppression into something we now think of as virtuous. Perfect! We accept written language as something so essential to how we live and get along in the world that we feel and recognize its presence as an exclusively positive thing, a sign of enlightenment. We've come to love the chains that bind us, that control us, for we believe that they are us (161-2).

By the eighteenth century the most reliable way to get a bath was to be insane. Then they could hardly soak you enough. In 1701, Sir John Floyer began to make a case for cold bathing as a cure for any number of maladies. His theory was that plunging a body into chilly water produced a sensation of “Terror and Surprize” which invigorated dulled and jaded senses.

One general theory for the origin of AIDS goes that, during the late nineteen-sixties, a new and lucrative business grew up in Africa, the export of primates to industrialized countries for use in medical research. Uganda was one of the biggest sources of these animals. As the monkey trade was established throughout central Africa, the native workers in the system, the monkey trappers and handlers, were exposed to large numbers of wild monkeys, some of which were carrying unusual viruses. These animals, in turn, were being jammed together in cages, exposed to one another, passing viruses back and forth. Furthermore, different species of monkeys were mixed together. It was a perfect setup for an outbreak of a virus that could jump species. It was also a natural laboratory for rapid virus evolution, and possibly it led to the creation of HIV. Did HIV crash into the human race as a result of the monkey trade?

In other words, our conscious representations are sometimes ordered (or arranged in a pattern) before they have become conscious to us. The 18th-century German mathematician Karl Friedrich Gauss gives an example of an experience of such an unconscious order of ideas: He says that he found a certain rule in the theory of numbers "not by painstaking research, but by the Grace of God, so to speak. The riddle solved itself as lightning strikes, and I myself could not tell or show the connection between what I knew before, what I last used to experiment with, and what produced the final success." The French scientist Henri Poincare is even more explicit about this phenomenon; he describes how during a sleepless night he actually watched his mathematical representations colliding in him until some of them "found a more stable connection. One feels as if one could watch one's own unconscious at work, the unconscious activity partially becoming manifest to consciousness without losing its own character. At such moments one has an intuition of the difference between the mechanisms of the two egos.

Are they by any chance a quiverfull ministry?” Pete’s lips thin. “Yes.” The word “quiverfull” sets my alarm bells ringing, and clearly upsets Mo. It goes back to Psalm 127, which refers to having many children as having a full quiver. They’re arrows for the Lord, and a number of evangelical churches have adopted the theory that you can never have too much ammunition.

According to multiverse theory, every version of our past and future histories exists, just in an alternate universe. For every event at the quantum level, the current universe splits into multiple universes. This means that for every choice you make, an infinite number of universes exist in which you made a different choice. In this way we get to live multiple lives.

self-organization is often sacrificed for purposes of short-term productivity and stability. Productivity and stability are the usual excuses for turning creative human beings into mechanical adjuncts to production processes. Or for narrowing the genetic variability of crop plants. Or for establishing bureaucracies and theories of knowledge that treat people as if they were only numbers.

The object of philosophy is the logical clarification of thoughts. Philosophy is not a theory but an activity. A philosophical work consists essentially of elucidations. The result of philosophy is not a number of “philosophical propositions”, but to make propositions clear. Philosophy should make clear and delimit sharply the thoughts which otherwise are, as it were, opaque and blurred.

Statements of fact are after all statements, which presumes a number of questionable judgements: that those statements are worth making, perhaps more worth making than certain others, that I am the sort of person entitled to make them and perhaps able to guarantee their truth, that you are the kind of person worth making them to, that something useful is accomplished by making them, and so on.

All disciplines of science are built on the causality of the relationships governing related events. Yet the theory of evolution is built upon the idea of accidental changes that resulted in complex living systems. I was unable to comprehend how the notion that an infinite number of random accidents systematically happened to produce living species, and kept improving these beings, is justified.

The object of philosophy is the logical clarification of thoughts.   Philosophy is not a theory but an activity.   A philosophical work consists essentially of elucidations.   The result of philosophy is not a number of “philosophical propositions”, but to make propositions clear.   Philosophy should make clear and delimit sharply the thoughts which otherwise are, as it were, opaque and blurred.

Building on these ideas, my view is that we humans represent an isolated island of meaning in a meaningless universe, and I should immediately clarify what I mean by meaningless. I see no reason for the existence of the universe in a teleological sense; there is surely no final cause or purpose. Rather, I think that meaning is an emergent property; it appeared on Earth when the brains of our ancestors became large enough to allow for primitive culture – probably between 3 and 4 million years ago with the emergence of Australopithecus in the Rift Valley. There are surely other intelligent beings in the billions of galaxies beyond the Milky Way, and if the modern theory of eternal inflation is correct, then there is an infinite number of inhabited worlds in the multiverse beyond the horizon.

Any physical theory is always provisional, in the sense that it is only a hypothesis: you can never prove it. No matter how many times the results of experiments agree with some theory, you can never be sure that the next time the result will not contradict the theory. On the other hand, you can disprove a theory by finding even a single observation that disagrees with the predictions of the theory. As philosopher of science Karl Popper has emphasized, a good theory is characterized by the fact that it makes a number of predictions that could in principle be disproved or falsified by observation.

Few people now believe in the Devil; but very many enjoy behaving as their ancestors behaved when the Fiend was a reality as unquestionable as his Opposite Number. In order to justify their behavior, they turn their theories into dogmas, their bylaws into First Principles, their political bosses into Gods and all those who disagree with them into incarnate devils. This idolatrous transformation of the relative into the Absolute and the all too human into the Divine, makes it possible for them to indulge their ugliest passions with a clear conscience and in the certainty that they are working for the Highest Good. And when the current beliefs come, in their turn, to look silly, a new set will be invented, so that the immemorial madness may continue to wear its customary mask of legality, idealism and true religion.

The fundamental reason for the superiority of totalitarian propaganda over the propaganda of other parties and movements is that its content, for the members of the movement at any rate, is no longer an objective issue about which people may have opinions, but has become as real and untouchable an element in their lives as the rules of arithmetic. The organization of the entire texture of life according to an ideology can be fully carried out only under a totalitarian regime. In Nazi Germany, questioning the validity of racism and antisemitism when nothing mattered but race origin, when a career depended upon an “Aryan” physiognomy (Himmler used to select the applicants for the SS from photographs) and the amount of food upon the number of one’s Jewish grandparents, was like questioning the existence of the world.

One of the things Ford Prefect had always found hardest to understand about humans was their habit of continually stating and repeating the very very obvious, as in It’s a nice day, or You’re very tall, or Oh dear you seem to have fallen down a thirty-foot well, are you all right? At first Ford had formed a theory to account for this strange behaviour. If human beings don’t keep exercising their lips, he thought, their mouths probably seize up. After a few months’ consideration and observation he abandoned this theory in favour of a new one. If they don’t keep exercising their lips, he thought, their brains start working. After a while he abandoned this one as well as being obstructively cynical and decided he quite liked human beings after all, but he always remained desperately worried about the terrible number of things they didn’t know about.

Love, that most banal of things, that most clichéd of religious motivations, had more power—Sol now knew—than did strong nuclear force or weak nuclear force or electromagnetism or gravity. Love was these other forces, Sol realized. The Void Which Binds, the subquantum impossibility that carried information from photon to photon, was nothing more or less than love. But could love—simple, banal love—explain the so-called anthropic principle which scientists had shaken their collective heads over for seven centuries and more—that almost infinite string of coincidences which had led to a universe that had just the proper number of dimensions, just the correct values on electron, just the precise rules for gravity, just the proper age to stars, just the right prebiologies to create just the perfect viruses to become just the proper DNAs—in short, a series of coincidences so absurd in their precision and correctness that they defied logic, defied understanding, and even defied religious interpretation. Love? For seven centuries the existence of Grand Unification Theories and hyperstring post-quantum physics and Core-given understanding of the universe as self-contained and boundless, without Big Bang singularities or corresponding endpoints, had pretty much eliminated any role of God—primitively anthropomorphic or sophisticatedly post-Einsteinian—even as a caretaker or pre-Creation former of rules. The modern universe, as machine and man had come to understand it, needed no Creator; in fact, allowed no Creator. Its rules allowed very little tinkering and no major revisions. It had not begun and would not end, beyond cycles of expansion and contraction as regular and self-regulated as the seasons on Old Earth. No room for love there.

Mathematicians call it “the arithmetic of congruences.” You can think of it as clock arithmetic. Temporarily replace the 12 on a clock face with 0. The 12 hours of the clock now read 0, 1, 2, 3, … up to 11. If the time is eight o’clock, and you add 9 hours, what do you get? Well, you get five o’clock. So in this arithmetic, 8 + 9 = 5; or, as mathematicians say, 8 + 9 ≡ 5 (mod 12), pronounced “eight plus nine is congruent to five, modulo twelve.

The Weinberg–Salam theory exhibits a property known as spontaneous symmetry breaking. This means that what appear to be a number of completely different particles at low energies are in fact found to be all the same type of particle, only in different states. At high energies all these particles behave similarly. The effect is rather like the behavior of a roulette ball on a roulette wheel. At high energies (when the wheel is spun quickly) the ball behaves in essentially only one way – it rolls round and round. But as the wheel slows, the energy of the ball decreases, and eventually the ball drops into one of the thirty-seven slots in the wheel. In other words, at low energies there are thirty-seven different states in which the ball can exist. If, for some reason, we could only observe the ball at low energies, we would then think that there were thirty-seven different types of ball!

Let us take a limited example and compare the war machine and the state apparatus in the context of the theory of games. Let us take chess and Go, from the standpoint of game pieces, the relations between the pieces and the space involved. Chess is a game of the State, or of the court: the emperor of China played it. Chess pieces are coded; they have an internal nature and intrinsic properties from which their movements, situations, and confrontations derive. They have qualities; a knight remains a knight, a pawn a pawn, a bishop a bishop. Each is like a subject of the statement endowed with relative power, and these relative powers combine in a subject of enunciation, that is, the chess player or the game’s form of interiority. Go pieces, I contrast, are pellets, disks, simple arithmetic units, and have only an anonymous, collective, or third-person function: “It” makes a move. “It” could be a man, a woman, a louse, an elephant. Go pieces are elements of a nonsubjectified machine assemblage with no intrinsic properties, only situational ones. Thus the relations are very different in the two cases. Within their milieu of interiority, chess pieces entertain biunivocal relations with one another, and with the adversary’s pieces: their functioning is structural. One the other hand, a Go piece has only a milieu of exteriority, or extrinsic relations with nebulas or constellations, according to which it fulfills functions of insertion or situation, such as bordering, encircling, shattering. All by itself, a Go piece can destroy an entire constellation synchronically; a chess piece cannot (or can do so diachronically only). Chess is indeed a war, but an institutionalized, regulated, coded war with a front, a rear, battles. But what is proper to Go is war without battle lines, with neither confrontation nor retreat, without battles even: pure strategy, whereas chess is a semiology. Finally, the space is not at all the same: in chess, it is a question of arranging a closed space for oneself, thus going from one point to another, of occupying the maximum number of squares with the minimum number of pieces. In Go, it is a question of arraying oneself in an open space, of holding space, of maintaining the possibility of springing up at any point: the movement is not from one point to another, but becomes perpetual, without aim or destination, without departure or arrival. The “smooth” space of Go, as against the “striated” space of chess. The nomos of Go against the State of chess, nomos against polis. The difference is that chess codes and decodes space, whereas Go proceeds altogether differently, territorializing and deterritorializing it (make the outside a territory in space; consolidate that territory by the construction of a second, adjacent territory; deterritorialize the enemy by shattering his territory from within; deterritorialize oneself by renouncing, by going elsewhere…) Another justice, another movement, another space-time.

Hard-nosed physicists say that the six knobs were never free to vary in the first place. When we finally reach the long-hoped-for Theory of Everything, we shall see that the six key numbers depend upon each other, or on something else as yet unknown, in ways that we today cannot imagine. The six numbers may turn out to be no freer to vary than is the ratio of a circle’s circumference to its diameter. It will turn out that there is only one way for a universe to be.

My argument against a naive form of empiricism was essentially anticipated by Mark Twain. On his first appointment as a reporter, he tells us, the editor of the newspaper instructed him never to report anything unless he could verify it or confirm it by personal knowledge. So he described a social event as follows: 'A woman giving the name of Mrs James Jones, who is reported to be one of the society leaders of the city, is said to have given what purported to be a party yesterday to a number of alleged ladies. The hostess claims to be the wife of a reputed attorney.' One sees that Mark Twain was quick to realize the silliness of the naive empiricist (verificationist) theory of the sources of our knowledge.

Those colors of hers really begin their attack on me now, ripping through my skin, electrifying my bloodstream, sending sparks zapping around in my stomach. I take a long pull on my whisky but I can’t keep a hard-on from starting. I only mention this because I have a theory that the hard-on is the number one reason for sexism down through history. I mean, it is seriously impossible to really soak in a girl’s ideas, no matter how deep or true, when you have a stiffy coming on.

Winning the Origins Lottery Nontheistic models adhere to a central premise that humans arose by strictly natural unguided steps from a bacterial life-form that sprang into being 3.8 billion years ago. Famed evolutionary biologist Francisco Ayala, an advocate for the hypothesis that natural selection and mutations can efficiently generate distinctly different species, nevertheless calculated the probability that humans (or a similarly intelligent species) arose from single-celled organisms as a possibility so small (10-1,000,000) that it might as well be zero (roughly equivalent to the likelihood of winning the California lottery 150,000 consecutive times with the purchase of just one ticket each time).2 He and other evolutionary biologists agree that natural selection and mutations could have yielded any of a virtually infinite number of other outcomes. Astrophysicists Brandon Carter, John Barrow, and Frank Tipler produced an even smaller probability.

It is a curious fact, and one to which no one knows quite how much importance to attach, that something like 85% of all known worlds in the Galaxy, be they primitive or highly advanced, have invented a drink called jynnan tonnyx, or gee-N'N-T'N-ix, or jinond-o-nicks, or any one of a thousand or more variations on the same phonetic theme. The drinks themselves are not the same, and vary between the Sivolvian 'chinanto/mnigs' which is ordinary water served at slightly above room temperature, and the Gagrakackan 'tzjin-anthony-ks' which kill cows at a hundred paces; and in fact the one common factor between all of them, beyond the fact that the names sound the same, is that they were all invented and named before the worlds concerned made contact with any other worlds. What can be made of this fact? It exists in total isolation. As far as any theory of structural linguistics is concerned it is right off the graph, and yet it persists. Old structural linguists get very angry when young structural linguists go on about it. Young structural linguists get deeply excited about it and stay up late at night convinced that they are very close to something of profound importance, and end up becoming old structural linguists before their time, getting very angry with the young ones. Structural linguistics is a bitterly divided and unhappy discipline, and a large number of its practitioners spend too many nights drowning their problems in Ouisghian Zodahs.

One consequence of this formulation is that a physical principle that unites many smaller physical theories must autoomatically unite many seemingly unrelated branches of mathematics. This is precisely what string theory accomplishes. In fact, of all physical theories, string theory unites by far the largest number of branches of mathematics into a single coherent picture. Perhaps one of the by-products of the physicists' quest for unification will be the unification of mathematics as well.

To sum up: all nature-spirits are not the same as fairies; nor are all fairies nature-spirits. The same applies to the relationship of nature-spirits and the dead. But we may safely say that a large proportion of nature-spirits became fairies, while quite a number of the dead in some areas seem to take on the character of nature-spirits. We cannot expect any fixity of rule in dealing with barbaric thought. We must take it as it comes. It bears the same relationship to "civilized" or folk-lore theory as does the growth of the jungle to a carefully designed and meticulously labelled botanical garden. As Victor Hugo once exclaimed when writing of the barbaric confusion which underlies the creative function in poetry: 'What do you expect? You are among savages!

I have a theory that every time you make an important choice, the part of you left behind continues the other life you could have had. Some people’s emanations are very strong, some people create themselves afresh outside of their own body. This is not fancy. If a potter has an idea, she makes it into a pot, and it exists beyond her, in its own separate life. She uses a physical substance to display her thoughts. If I use a metaphysical substance to display my thoughts, I might be anywhere at one time, influencing a number of different things, just as the potter and her pottery can exert influence in different places. There’s a chance that I’m not here at all, that all the parts of me, running along all the choices I did and didn’t make, for a moment brush against each other. That I am still an evangelist in the North, as well as the person who ran away. Perhaps for a while these two selves have become confused. I have not gone forward or back in time, but across in time, to something I might have been, playing itself out.

I confess that Fermat's Theorem as an isolated proposition has very little interest for me, for a multitude of such theorems can easily be set up, which one could neither prove nor disprove. But I have been stimulated by it to bring our again several old ideas for a great extension of the theory of numbers. Of course, this theory belongs to the things where one cannot predict to what extent one will succeed in reaching obscurely hovering distant goals. A happy star must also rule, and my situation and so manifold distracting affairs of course do not permit me to pursue such meditations as in the happy years 1796-1798 when I created the principal topics of my Disquisitiones arithmeticae. But I am convinced that if good fortune should do more than I expect, and make me successful in some advances in that theory, even the Fermat theorem will appear in it only as one of the least interesting corollaries. {In reply to Olbers' attempt in 1816 to entice him to work on Fermat's Theorem. The hope Gauss expressed for his success was never realised.}

The task assigned to the RAND* researcher Paul Baran in 1964 was to develop a communication system that would survive a Soviet nuclear attack. Baran suggested three possible structures for such a system. It could either be ‘centralized’, with one central hub and multiple spokes, ‘decentralized’, with multiple components linked loosely together by a number of weak ties, or ‘distributed’, like a lattice or mesh. In theory, the last option was the most resilient, in that it could withstand the destruction of numerous nodes, and that was indeed

In particular, in introducing new numbers, mathematics is only obliged to give definitions of them, by which such a definiteness and, circumstances permitting, such a relation to the older numbers are conferred upon them that in given cases they can definitely be distinguished from one another. As soon as a number satisfies all these conditions, it can and must be regarded as existent and real in mathematics. Here I perceive the reason why one has to regard the rational, irrational, and complex numbers as being just thoroughly existent as the finite positive integers.

One quantum theory of the atom is great, but two are a problem, especially since they both reproduced the right spectrum of hydrogen. The two theories could not have differed more, as reflects the philosophies of their discoverers. Einstein, de Broglie, and Schrödinger were realists. Even if there were mysteries, they believed an electron was real and somehow existed as both wave and particle. Bohr and Heisenberg were enthusiastic anti-realists who believed we have no access to reality, only to tables of numbers which represent the interactions with the atom, but not the atom directly.

If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos.

Unfortunately, no one has ever successfully postulated a super-symmetry holding between two known particles. Instead, in all the supersymmetric theories the numbers of particles are at least doubled. A new superpartner is simply postulated to go along with each known particle. Not only are there squarks and sleptons and photinos, there are also sneutrinos to partner the neutrinos, Higgsinos with the Higgs, and gravitinos to go with the gravitons. Two by two, a regular Noah's ark of particles. Sooner or later, tangled in the web of new snames and naminos, you begin to feel like Sbozo the clown. Or Bozo the clownino. Or swhatever.

Why are all the theories of physics so similar in their structure? There are a number of possibilities. The first is the limited imagination of physicists: when we see a new phenomenon we try to fit it into the framework we already have-until we have made enough experiments, we don't know that it doesn't work. Another possibility is that it is the same damn thing over and over again-that Nature has only one way of doing things, and She repeats her story from time to time. A third possibility is that things look similar because they are aspects of the same thing- some larger picture underneath, from which things can be broken into parts that look different, like fingers on the same hand. Many physicists are working very hard trying to put together a grand picture that unifies everything into one super-duper model. It's a delightful game, but at the present time none of the speculators agree with any of the other speculators as to what the grand picture is.

According to string theory, if we could somehow magnify a point particle, we would actually see a small vibrating string. In fact, according to this theory, matter is nothing but the harmonies created by this vibrating string. Since there are an infinite number of harmonies that can be composed for the violin, there are an infinite number of forms of matter that can be constructed out of vibrating strings. This explains the richness of the particles in nature. Likewise, the laws of physics can be compared to the laws of harmony allowed on the string. The universe itself, composed of countless vibrating strings, would then be comparable to a symphony.

For evolution to be true, there would have been innumerable transitional forms between different types of creatures. Therefore, for every known fossil species, many more must have existed to connect it to its ancestors and descendents [sic]. This is yet another example of evolutionary conclusions coming before the evidence. Really, the claim is an implicit admission that large numbers of transitional forms are predicted, which heightens the difficulty for evolutionists, given how few there are that even they could begin to claim were candidates. . . . Evolutionists believe that mutation provides new information for selection. But no known mutation has ever increased genetic information, although there should be many examples observable today if mutation/selection were truly adequate to explain the goo-to-you theory. . . . Adaptation and natural selection are biological facts; amoeba-to-man evolution is not. Natural selection can only work on the genetic information present in a population of organisms--it cannot create new information. For example, since no known reptiles have genes for feathers, no amount of selection will produce a feathered reptile. Mutations in genes can only modify or eliminate existing structures, not create new ones. If in a certain environment a lizard survives better with smaller legs, or no legs, then varieties with this trait will be selected for. This might more accurately be called devolution, not evolution. . . . Note that even if such a mutation were ever discovered, evolutionists would still need to find hundreds more to give their theory the observational boost it desperately needs.

The auteur theory suggests that, throughout an author's body of work one can find consistent themes -- and, studying a number of authors, you'll find this to be true. (Look no further than James Joyce in this respect, where he courts themes exploring the everyday heroism of the common man competing against the paralysis of the same.) In this way theme is sometimes an obsession, the author compelled to explore certain aspects and arguments without ever really meaning to -- theme then needn't be decided upon, nor must it be constrained to a single narrative. Theme is bigger, bolder, madder than all that. Sometimes theme is who we really are as writers. 14.

In 1802, five years after Hutton’s death, Playfair produced a simplified exposition of the Huttonian principles, entitled Illustrations of the Huttonian Theory of the Earth. The book was gratefully received by those who took an active interest in geology, which in 1802 was not a large number. That, however, was about to change. And how.

Perhaps others, cut from different cloth, could pick and choose their conquests. Live their lives as patient fishermen, searching with intermittent success within a vast sea full of alluring fish. If the circumstances of one catch proved inconvenient, these fictional fishermen need only toss back the lure and wait for another. Not so for me. I vehemently rejected this belief that our souls could thrive with any number of partners, a good-enough rodstvennaya dusha. One. One half of one soul. It is popular to say that one must find love within oneself before knowing how to love another. I rejected this statement outright, as both imbecilic in theory and impossible in practice.

The state university is supported by grants from the people of the state, voted by the state legislature. In theory, the degree of support which the university receives is dependent upon the degree of acceptance accorded it by the voters. The state university prospers according to the extent to which it can sell itself to the people of the state. The state university is therefore in an unfortunate position unless its president happens to be a man of outstanding merit as a propagandist and a dramatizer of educational issues. Yet if this is the case--if the university shapes its whole policy toward gaining the support of the state legislature--its educational function may suffer. It may be tempted to base its whole appeal to the public on its public service, real or supposed, and permit the education of its individual students to take care of itself. It may attempt to educate the people of the state at the expense of its own pupils. This may generate a number of evils, to the extent of making the university a political instrument, a mere tool of the political group in power.

In their later years, each (Einstein and Schrödinger) hoped to find a unified field theory that would fill in the gaps of quantum physics and unite the forces of nature. By extending general relativity to include all of the natural forces, such a theory would replace matter with pure geometry - fulfilling the dream of the Pythagoreans, who believed that "all is number".

But if it be true, as every prospect assures us, that the human race shall not again relapse into its ancient barbarity; if every thing ought to assure us against that pusillanimous and corrupt system which condemns man to eternal oscillations between truth and falsehood, liberty and servitude, we must, at the same time, perceive that the light of information is spread over a small part only of our globe; and the number of those who possess real instruction, seems to vanish in the comparison with the mass of men consigned over to ignorance and prejudice. We behold vast countries groaning under slavery, and presenting nations in one place, degraded by the vices of civilization, so corrupt as to impede the progress of man; and in others, still vegetating in the infancy of its early age. We perceive that the exertions of these last ages have done much for the progress of the human mind, but little for the perfection of the human species; much for the glory of man, somewhat for his liberty, but scarcely any thing yet for his happiness. In a few directions, our eyes are struck with a dazzling light; but thick darkness still covers an immense horison.

If women patronize the wheel the number of buyers will be twice as large. If women ride they must, when riding, dress more rationally than they have been wont to do. If they do this many prejudices as to what they may be allowed to wear will melt away. Reason will gain upon precedent and ere long the comfortable, sensible, and artistic wardrobe of the rider will make the conventional style of woman's dress absurd to the eye and unenduring to the understanding. A reform often advances most rapidly by indirection. An ounce of practice is worth a ton of theory; and the graceful and becoming costume of woman on the bicycle will convince the world that has brushed aside the theories, no matter how well constructed, and the arguments, no matter how logical, of dress-reformers.

Considered from this point of view, the fact that some of the theories which we know to be false give such amazingly accurate results is an adverse factor. Had we somewhat less knowledge, the group of phenomena which these "false" theories explain would appear to us to be large enough to "prove" these theories. However, these theories are considered to be "false" by us just for the reason that they are, in ultimate analysis, incompatible with more encompassing pictures and, if sufficiently many such false theories are discovered, they are bound to prove also to be in conflict with each other. Similarly, it is possible that the theories, which we consider to be "proved" by a number of numerical agreements which appears to be large enough for us, are false because they are in conflict with a possible more encompassing theory which is beyond our means of discovery. If this were true, we would have to expect conflicts between our theories as soon as their number grows beyond a certain point and as soon as they cover a sufficiently large number of groups of phenomena. In contrast to the article of faith of the theoretical physicist mentioned before, this is the nightmare of the theorist.

I think US/UK genre has become more open to “diverse” writers and writing; there’s a genuine interest in reading work from countries outside the US/UK and hearing voices that have been historically shut out, but at the same time, people are quite lazy. That sounds harsh, but I include myself in it — your tastes are shaped by what you’ve read and watched before, and it takes a little effort to understand stories that use a different voice, that follow different storytelling conventions, that are trying to subvert the dominant paradigm. There’s a quite large group of people who are “yay diversity” in theory, but I think the number of people who have then said to themselves, “OK, if I’m committed to this, I need to start reading outside my comfort zone and making an effort” is maybe a little smaller.

As philosopher of science Karl Popper has emphasized, a good theory is characterized by the fact that it makes a number of predictions that could in principle be disproved or falsified by observation. Each time new experiments are observed to agree with the predictions, the theory survives and our confidence in it is increased; but if ever a new observation is found to disagree, we have to abandon or modify the theory.

The founding of a science more or less on the notion of repetition brings in its train yet another delusion of a quantitative kind, the delusion that consists in thinking that the accumulation of a large number of facts can be of use by itself as ‘proof' of a theory; nevertheless, even a little reflection will make it evident that facts of the same kind are always indefinite in multitude, so that they can never all be taken into account, quite apart from the consideration that the same facts usually fit several different theories equally well. It will be said that the establishment of a greater number of facts does at least give more ‘probability' to a theory; but to say so is to admit that no certitude can be arrived at in that way, and that therefore the conclusions promulgated have nothing ‘exact' about them; it is also an admission of the wholly ‘empirical' character of modern science, although, by a strange irony, its partisans are pleased to accuse of ‘empiricism' the knowledge of the ancients, whereas exactly the opposite is the truth: for this ancient knowledge, of the true nature of which they have no idea whatever, started from principles and not from experimental observations, so that it can truly be said that profane science is built up exactly the opposite way round to traditional science.

I thought that you would be frozen in awe when you found the sequence, when you heard a bird's song repeating my Morse code, my cry for help, my S.O.S, when you saw the same numbers in the petals of a flower and the structure of a pine cone, when you saw with your own eyes the interconnectedness of all things. But I was wrong. You searched for a male god, a creator, an intelligent designer, or you banished the beauty and mystery of the world beneath the cold concrete grave of closed-eye skepticism. The few of you who could still hear my music felt tortured and misunderstood; you reached out for any conspiracy theory large enough to explain your alienated despair, your sense that the Earth was dying and no one cared. But listen to me -- you are not alone. Run your fingers through the grass and grab it in your fists, feel my pulse echoing through your blood. You. Are. Not. Alone. And I -- I am not dead yet.

From these definitions and axioms springs my central hypothesis: political parties in a democracy formulate policy strictly as a means of gaining votes. They do not seek to gain office in order to carry out certain preconceived policies or to serve any particular interest groups; rather they formulate policies and serve interest groups in order to gain office. Thus their social function—which is to formulate and carry out policies when in power as the government—is accomplished as a by-product of their private motive—which is to attain the income, power, and prestige of being in office. This hypothesis implies that, in a democracy, the government always acts so as to maximize the number of votes it will receive. In effect, it is an entrepreneur selling policies for votes instead of products for money. Furthermore, it must compete for votes with other parties, just as two or more oligopolists compete for sales in a market.

Order Out of Chaos ... At the right temperature ... two peptide molecules will stay together long enough on average to find a third. Then the little trio finds a fourth peptide to attract into the little huddle, just through the random side-stepping and tumbling induced by all the rolling water molecules. Something extraordinary is happening: a larger structure is emerging from a finer system, not in spite of the chaotic and random motion of that system but because of it. Without the chaotic exploration of possibilities, the rare peptide molecules would never find each other, would never investigate all possible ways of aggregating so that the tape-like polymers emerge as the most likely assemblies. It is because of the random motion of all the fine degrees of freedom that the emergent, larger structures can assume the form they do. Even more is true when the number of molecules present becomes truly enormous, as is automatically the case for any amount of matter big enough to see. Out of the disorder emerges a ... pattern of emergent structure from a substrate of chaos.... The exact pressure of a gas, the emergence of fibrillar structures, the height in the atmosphere at which clouds condense, the temperature at which ice forms, even the formation of the delicate membranes surrounding every living cell in the realm of biology -- all this beauty and order becomes both possible and predictable because of the chaotic world underneath them.... Even the structures and phenomena that we find most beautiful of all, those that make life itself possible, grow up from roots in a chaotic underworld. Were the chaos to cease, they would wither and collapse, frozen rigid and lifeless at the temperatures of intergalactic space. This creative tension between the chaotic and the ordered lies within the foundations of science today, but it is a narrative theme of human culture that is as old as any. We saw it depicted in the ancient biblical creation narratives of the last chapter, building through the wisdom, poetic and prophetic literature. It is now time to return to those foundational narratives as they attain their climax in a text shot through with the storm, the flood and the earthquake, and our terrifying ignorance in the face of a cosmos apparently out of control. It is one of the greatest nature writings of the ancient world: the book of Job.

Psychologists Belsky, Steinberg, and Draper (1991) propose that a father’s presence or absence early in a child’s life can calibrate the kind of sexual strategy he or she adopts later in life. Individuals growing up in fatherless homes during the first 5 to 7 years of life, according to this theory, develop the expectations that parental resources will not be reliably or predictably provided and that adult pair bonds will not be enduring. These individuals adopt a sexual strategy marked by early sexual maturation, early sexual initiation, and frequent partner switching—a strategy designed to produce a large number of offspring, with little investment in each. Extraverted and impulsive personality traits might accompany this strategy. Other individuals are perceived as untrustworthy, relationships as transitory. Resources sought from brief sexual liaisons are opportunistically attained. Individuals who have a reliably investing father during their first 5 to 7 years of life, according to this theory, develop a different set of expectations about the nature and trustworthiness of others. People are seen as reliable and trustworthy, and relationships are expected to be enduring. These early environmental experiences channel individuals toward a long-term mating strategy—delayed sexual maturation, later onset of sexual activity, a search for securely attached long-term adult relationships, and heavy investment in children.

In the work of Ramanujan, the number 24 appears repeatedly. This is an example of what mathematicians call magic numbers, which continually appear, where we least expect them, for reasons that no one understands. Miraculously, Ramanujan's function also appears in string theory. The number 24 appearing in Ramanujan's function is also the origin of the miraculous cancellations occurring in string theory. In string theory, each of the 24 modes in the Ramanujan function corresponds to a physical vibration of the string. Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan. (Since physicists add two more dimensions when they count the total number of vibrations appearing in a relativistic theory, this means that space-time must have 24 + 2 = 26 space-time dimensions.)

[The] structural theory is of extreme simplicity. It assumes that the molecule is held together by links between one atom and the next: that every kind of atom can form a definite small number of such links: that these can be single, double or triple: that the groups may take up any position possible by rotation round the line of a single but not round that of a double link: finally that with all the elements of the first short period [of the periodic table], and with many others as well, the angles between the valencies are approximately those formed by joining the centre of a regular tetrahedron to its angular points. No assumption whatever is made as to the mechanism of the linkage. Through the whole development of organic chemistry this theory has always proved capable of providing a different structure for every different compound that can be isolated. Among the hundreds of thousands of known substances, there are never more isomeric forms than the theory permits.

Wars and chaoses and paradoxes ago, two mathematicians between them ended an age d began another for our hosts, our ghosts called Man. One was Einstein, who with his Theory of Relativity defined the limits of man's perception by expressing mathematically just how far the condition of the observer influences the thing he perceives. ... The other was Goedel, a contemporary of Eintstein, who was the first to bring back a mathematically precise statement about the vaster realm beyond the limits Einstein had defined: In any closed mathematical system--you may read 'the real world with its immutable laws of logic'--there are an infinite number of true theorems--you may read 'perceivable, measurable phenomena'--which, though contained in the original system, can not be deduced from it--read 'proven with ordinary or extraordinary logic.' Which is to say, there are more things in heaven and Earth than are dreamed of in your philosophy, Horatio. There are an infinite number of true things in the world with no way of ascertaining their truth. Einstein defined the extent of the rational. Goedel stuck a pin into the irrational and fixed it to the wall of the universe so that it held still long enough for people to know it was there. ... The visible effects of Einstein's theory leaped up on a convex curve, its production huge in the first century after its discovery, then leveling off. The production of Goedel's law crept up on a concave curve, microscopic at first, then leaping to equal the Einsteinian curve, cross it, outstrip it. At the point of intersection, humanity was able to reach the limits of the known universe... ... And when the line of Goedel's law eagled over Einstein's, its shadow fell on a dewerted Earth. The humans had gone somewhere else, to no world in this continuum. We came, took their bodies, their souls--both husks abandoned here for any wanderer's taking. The Cities, once bustling centers of interstellar commerce, were crumbled to the sands you see today.

In accepting as two primary texts, Singer's Animal Liberation and Regan's The Case for Animal Rights--texts that valorize rationality--the animal defense movement reiterates a patriarchal disavowal of emotions as having a legitimate role in theory making. The problem is that while on the one hand it articulates positions against animal suffering, on the other hand animal rights theory dispenses with the idea that caring about and emotionally responding to this suffering can be appropriate sources of knowledge. Emotions and theory are related. One does not have to eviscerate theory of emotional content and reflection to present legitimate theory. Nor does the presence of emotional content and reflection eradicate or militate against thinking theoretically. By disavowing emotional responses, two major texts of animal defense close off the intellectual space for recognizing the role of emotions in knowledge and therefore theory making. As the issue of caring about suffering is problematized, difficulties with animal rights per se become apparent. Without a gender analysis, several important issues that accompany a focus on suffering are neglected, to the detriment of the movement. Animal rights theory offers a legitimating language for animal defense without acknowledging the indebtedness of the rights-holder to caring relationships. Nor does it provide models for theoretically engaging with our own emotional responses, since emotions are seen as untrustworthy. Because the animal advocacy movement has failed to incorporate an understanding of caring as a motivation for so many animal defense activists, and because it has not addressed the gendered nature of caring--that it is woman's duty to provide service to others, while it is men's choice--it has not addressed adequately the implications that a disproportionate number of activists are women motivated because they care about animal suffering. Animal rights theory that disowns or ignores emotions mirrors on the theoretical level the gendered emotional responses inherent in a patriarchal society. In this culture, women are supposed to do the emotional work for heterosexual intimate relationships: 'a man will come to expect that a woman's role in his life is to take care of his feelings and alleviate the discomfort involved in feeling.' At the cultural level, this may mean that women are doing the emotional work for the animal defense movement. And this emotional work takes place in the context of our own oppression.

THE DEVELOPMENT OF THE ARYAN INVASION THEORY Before the 1857 uprising it was recognized that British rule in India could not be sustained without a large number of supporters and collaborators from within the Indian population. Recognizing this, it was influential men like Thomas Babbington Macaulay, who, as Chairman of the Education Board, sought to set up an educational system modeled after the British system, which, in the case of India, would serve to undermine the Hindu tradition. While not a missionary himself, Macaulay came from a deeply religious family steeped in the Protestant Christian faith. His father was a Presbyterian minister and his mother a Quaker. He believed that the conversion of Hindus to Christianity held the answer to the problems of administering India. His idea was to create a class of English educated elite that would repudiate its tradition and become British collaborators. In 1836, while serving as chairman of the Education Board in India, he enthusiastically wrote his father about his idea and how it was proceeding: “Our English schools are flourishing wonderfully. The effect of this education on the Hindus is prodigious... It is my belief that if our plans of education are followed up, there will not be a single idolator among the respectable classes in Bengal thirty years hence. And this will be effected without any efforts to proselytise, without the smallest interference with religious liberty, by natural operation of knowledge and reflection. I heartily rejoice in the project.

The unfortunate reality we must face is that racism manifests itself not only in individual attitudes and stereotypes, but also in the basic structure of society. Academics have developed complicated theories and obscure jargon in an effort to describe what is now referred to as structural racism, yet the concept is fairly straightforward. One theorist, Iris Marion Young, relying on a famous “birdcage” metaphor, explains it this way: If one thinks about racism by examining only one wire of the cage, or one form of disadvantage, it is difficult to understand how and why the bird is trapped. Only a large number of wires arranged in a specific way, and connected to one another, serve to enclose the bird and to ensure that it cannot escape.11 What is particularly important to keep in mind is that any given wire of the cage may or may not be specifically developed for the purpose of trapping the bird, yet it still operates (together with the other wires) to restrict its freedom. By the same token, not every aspect of a racial caste system needs to be developed for the specific purpose of controlling black people in order for it to operate (together with other laws, institutions, and practices) to trap them at the bottom of a racial hierarchy. In the system of mass incarceration, a wide variety of laws, institutions, and practices—ranging from racial profiling to biased sentencing policies, political disenfranchisement, and legalized employment discrimination—trap African Americans in a virtual (and literal) cage. Fortunately,

The Hutterites (who came out of the same tradition as the Amish and the Mennonites) have a strict policy that every time a colony approaches 150, they split it in two and start a new one. "Keeping things under 150 just seems to be the best and most efficient way to manage a group of people," Spokane told me. "When things get larger than that, people become strangers to one another." The Hutterites, obviously, didn't get this idea from contemporary evolutionary psychology. They've been following the 150 rule for centuries. But their rationale fits perfectly with Dunbar's theories. At 150, the Hutterites believe, something happens-something indefinable but very real-that somehow changes the nature of community overnight. "In smaller groups people are a lot closer. They're knit together, which is very important if you want to be be effective and successful at community life," Gross said. "If you get too large, you don't have enough work in common. You don't have enough things in common, and then you start to become strangers and that close-knit fellowship starts to get lost." Gross spoke from experience. He had been in Hutterite colonies that had come near to that magic number and seen firsthand how things had changed. "What happens when you get that big is that the group starts, just on its own, to form a sort of clan." He made a gesture with his hands, as if to demonstrate division. "You get two or three groups within the larger group. That is something you really try to prevent, and when it happens it is a good time to branch out.

.... attempts to combine these two forces with the strong nuclear force into what is called a grand unified theory (GUT). This title is rather an exaggeration: the resultant theories are not all that grand, nor are they fully unified, as they do not include gravity. Nor are they really complete theories, because they contain a number of parameters whose values cannot be predicted from a theory but have to be chosen to fit in with experiment. Nevertheless, they may be a step toward a complete, fully unified theory.

The 1970s and 1980s: feminism, androgyny, modernism, aesthetics In the 1970s and 1980s, Woolf studies expanded in a number of directions, most notably in relation to feminism. Critical interest in Woolf developed at the same time as feminism developed in related academic disciplines. In this period her writings became central to the theoretical framing of feminism, in particular to debates on Marxist and materialist feminism and to the emergent theories of androgyny. Both these areas of debate takeWoolf ’s A Room of One’s Own as a major point of reference... ........... At the same time as feminist approaches to Woolf were developing and expanding, so, too, was the critical interest in her modernist theories and her formal aesthetics. Again, Woolf ’s writing became central to critical and theoretical formulations on modernism. .......... This period also saw considerable critical interest in the influence of the visual arts on Woolf ’s writing, and particularly in the influence of the formalist theories of her Bloomsbury colleagues Roger Fry and Clive Bell.

It is a well known phenomenon in many branches of the exact and physical sciences that very great numbers are often easier to handle than those of medium size. An almost exact theory of a gas, containing about 1025 freely moving particles, is incomparably easier than that of the solar system, made up of 9 major bodies; and still more than that of a multiple star of three or four objects of about the same size. This is, of course, due to the excellent possibility of applying the laws of statistics and probabilities in the first case.

Contact often has the effect of hardening hostilities, not dissolving barriers. This effect is common in politics. When Jesse Jackson was running for the presidential nomination of the Democratic Party, his percentage of the white vote was consistently highest in those states with the fewest blacks. Whites with the most actual contact with blacks were least likely to vote for him. The same was true in 2008 during Barack Obama’s Democratic primary campaigns. He won the highest percentages of the white vote in states such as Iowa, which has few blacks, and the lowest percentages in states with large black populations. Bernard N. Grofman of the University of California, Irvine has found a reliable political correlation: As the number of blacks rises, more whites vote Republican—and the less likely they are to vote for black candidates. It is whites whose knowledge about blacks is filtered by the media rather than gained first-hand who have the most favorable impression of them. The alleged benefits of diversity seem illusory to the people who actually experience it.

All men know that by sheer weight of physical force, the mass of men must in the last resort become the arbiters of human action. But reason, skill, wealth, machines and power may for long periods enable the few to control the many. But to what end? The current theory of democracy is that dictatorship is a stopgap pending the work of universal education, equitable income, and strong character. But always the temptation is to use the stopgap for narrower ends, because intelligence, thrift and goodness seem so impossibly distant for most men. We rule by junta; we turn Fascist, because we do not believe in men; yet the basis of fact in this disbelief is incredibly narrow. We know perfectly well that most human beings have never had a decent human chance to be full men. Most of us may be convinced that even with opportunity the number of utter human failures would be vast; and yet remember that this assumption kept the ancestors of present white America long in slavery and degradation. It is then one's moral duty to see that every human being, to the extent of his capacity, escapes ignorance, poverty and crime. With this high ideal held unswervingly in view, monarchy, oligarchy, dictatorships may rule; but the end will be the rule of All, if mayhap All or Most qualify. The only unforgivable sin is dictatorship for the benefit of Fools, Voluptuaries, gilded Satraps, Prostitutes and Idiots. The rule of the famished, unlettered, stinking mob is better than this and the only inevitable, logical and justifiable return. To escape from ultimate democracy is as impossible as it is for ignorant poverty and crime to rule forever.

The generalized theory of relativity has furnished still more remarkable results. This considers not only uniform but also accelerated motion. In particular, it is based on the impossibility of distinguishing an acceleration from the gravitation or other force which produces it. Three consequences of the theory may be mentioned of which two have been confirmed while the third is still on trial: (1) It gives a correct explanation of the residual motion of forty-three seconds of arc per century of the perihelion of Mercury. (2) It predicts the deviation which a ray of light from a star should experience on passing near a large gravitating body, the sun, namely, 1".7. On Newton's corpuscular theory this should be only half as great. As a result of the measurements of the photographs of the eclipse of 1921 the number found was much nearer to the prediction of Einstein, and was inversely proportional to the distance from the center of the sun, in further confirmation of the theory. (3) The theory predicts a displacement of the solar spectral lines, and it seems that this prediction is also verified.

You know what the best course I ever took at college was? Biology. We studied evolution. And I learned something important.’ Now he included Leonard in his gaze. ‘It helped me choose my career. For thousands, no, millions of years we had these huge brains, the neo-cortex, right? But we didn’t speak to each other, and we lived like fucking pigs. There was nothing. No language, no culture, nothing. And then, suddenly, wham! It was there. Suddenly it was something we had to have, and there was no turning back. So why did it suddenly happen?’ Russell shrugged. ‘Hand of God?’ ‘Hand of God my ass. I’ll tell you why. Back then we all used to hang out together all day long doing the same thing. We lived in packs. So there was no need for language. If there was a leopard coming, there was no point saying, Hey man, what’s coming down the track? A leopard! Everyone could see it, everyone was jumping up and down and screaming, trying to scare it off. But what happens when someone goes off on his own for a moment’s privacy? When he sees a leopard coming, he knows something the others don’t. And he knows they don’t know. He has something they don’t, he has a secret, and this is the beginning of his individuality, of his consciousness. If he wants to share his secret and run down the track to warn the other guys, then he’s going to need to invent language. From there grows the possibility of culture. Or he can hang back and hope the leopard will take out the leadership that’s been giving him a hard time. A secret plan, that means more individuation, more consciousness.’ The band was starting to play a fast, loud number. Glass had to shout his conclusion, ‘Secrecy made us possible,’ and Russell raised his beer to salute the theory.

was really taken with this one theory that states that everything that is possible happens. That means that when you flip a quarter, it doesn’t come down heads or tails. It comes up heads and tails. Every time you flip a coin and it comes up heads, you are merely in the universe where the coin came up heads. There is another version of you out there, created the second the quarter flipped, who saw it come up tails. This is happening every second of every day. The world is splitting further and further into an infinite number of parallel universes where everything that could happen is happening. This is completely plausible, by the way. It’s a legitimate interpretation of quantum mechanics. It’s entirely possible that every time we make a decision, there is a version of us out there somewhere who made a different choice. An infinite number of versions of ourselves are living out the consequences of every single possibility in our lives. What I’m getting at here is that I know there may be universes out there where I made different choices that led me somewhere else, led me to someone else.” He looks at Gabby. “And my heart breaks for every single version of me that didn’t end up with you.

Yet another problem with the ‘threat response’ theory is that it has difficulty explaining why damage to the amygdala impairs not just people’s ability to respond appropriately to fearful expressions but their ability to even identify them – to come up with a name for what the expresser is feeling. When S.M. sees a fearful face, it isn’t as though she knows what to call it but fails to show appropriate signs of fearful avoidance or vigilance in response. It’s that she sees it and is mystified by its very meaning, like a colour-blind person searching for a number in a featureless array of brown dots.

Just as summer-killed meat draws flies, so the court draws spurious sages, philosophists, and acosmists who remain there as long as their purses and their wits will maintain them, in the hope (at first) of an appointment from the Autarch and (later) of obtaining a tutorial position in some exalted family. At sixteen or so, Thecla was attracted, as I think young women often are, to their lectures on theogony, thodicy, and the like, and I recall one particularly in which a phoebad put forward as an ultimate truth the ancient sophistry of the existence of three Adonai, that of the city (or of the people), that of the poets, and that of the philosophers. Her reasoning was that since the beginning of human consciousness (if such a beginning ever was) there have been vast numbers of persons in the three categories who have endeavored to pierce the secret of the divine. If it does not exist, they should have discovered that long before; if it does, it is not possible that Truth itself should mislead them. Yet the beliefs of the populace, the insights of the rhapsodists, and the theories of the metaphysicians have so far diverged that few of them can so much as comprehend what the others say, and someone who knew nothing of any of their ideas might well believe there was no connection at all between them. May it not be, she asked (and even now I am not certain I can answer), that instead of traveling, as has always been supposed, down three roads to the same destination, they are actually traveling toward three quite different ones? After all, when in common life we behold three roads issuing from the same crossing, we do not assume they all proceed toward the same goal. I found (and find) this suggestion as rational as it is repellent, and it represents for me all that monomaniacal fabric of argument, so tightly woven that not even the tiniest objection or spark of light can escape its net, in which human minds become enmeshed whenever the subject is one in which no appeal to fact is possible. As a fact the Claw was thus an incommensurable. No quantity of money, no piling up of archipelagoes or empires could approach it in value any more than the indefinite multiplication of horizontal distance could be made to equal vertical distance. If it was, as I believed, a thing from outside the universe, then its light, which I had seen shine faintly so often, and a few times brightly, was in some sense the only light we had. If it were destroyed, we were left fumbling in the dark.

It is a positive sign that a growing number of social movements are recognizing that indigenous self-determination must become the foundation for all our broader social justice mobilizing. Indigenous peoples are the most impacted by the pillage of lands, experience disproportionate poverty and homelessness, and overrepresented in statistics of missing an murdered women, and are the primary targets of repressive policing and prosecutions in the criminal injustice system. Rather than being treated as a single issue within a laundry list of demands, indigenous self-determination is increasingly understood as intertwined with struggles against racism, poverty, police violence, war and occupation, violence against women, and environmental justice. ... We have to be cautious to avoid replicating the state's assimilationist model of liberal pluralism, whereby indigenous identities are forced to fit within our existing groups and narratives. ... Indigenous struggle cannot simply be accommodated within other struggles; it demands solidarity on its own terms. Original blog post: Unsettling America: Decolonization in Theory and Practice. Quoted In: Decolonize Together: Moving beyond a Politics of Solidarity toward a Practice of Decolonization. Taking Sides.

The fundamental problem with learning mathematics is that while the number sense may be genetic, exact calculation requires cultural tools—symbols and algorithms—that have been around for only a few thousand years and must therefore be absorbed by areas of the brain that evolved for other purposes. The process is made easier when what we are learning harmonizes with built-in circuitry. If we can’t change the architecture of our brains, we can at least adapt our teaching methods to the constraints it imposes. For nearly three decades, American educators have pushed “reform math,” in which children are encouraged to explore their own ways of solving problems. Before reform math, there was the “new math,” now widely thought to have been an educational disaster. (In France, it was called les maths modernes and is similarly despised.) The new math was grounded in the theories of the influential Swiss psychologist Jean Piaget, who believed that children are born without any sense of number and only gradually build up the concept in a series of developmental stages. Piaget thought that children, until the age of four or five, cannot grasp the simple principle that moving objects around does not affect how many of them there are, and that there was therefore no point in trying to teach them arithmetic before the age of six or seven.

The important difference between theory and practice lies precisely in the detection of the sequence of events and retaining the sequence in memory. If life is lived forward but remembered backward, as Kierkegaard observed, then books exacerbate this effect – our own memories, learning, and instinct have sequences in them. Someone standing today and looking at events without having lived them would be inclined to develop illusions of causality, mostly from being mixed-up by the sequence of events. In real life, in spite of all the biases, we do not have the same number of asynchronies that appear to the student of history. Nasty history, full of lies, full of biases!

For years, the suspicion that Mr. Putin has a secret fortune has intrigued scholars, industry analysts, opposition figures, journalists and intelligence agencies but defied their efforts to uncover it. Numbers are thrown around suggesting that Mr. Putin may control $40 billion or even $70 billion, in theory making him the richest head of state in world history. For all the rumors and speculation, though, there has been little if any hard evidence, and Gunvor has adamantly denied any financial ties to Mr. Putin and repeated that denial on Friday. But Mr. Obama’s response to the Ukraine crisis, while derided by critics as slow and weak, has reinvigorated a 15-year global hunt for Mr. Putin’s hidden wealth. Now, as the Obama administration prepares to announce another round of sanctions as early as Monday targeting Russians it considers part of Mr. Putin’s financial circle, it is sending a not-very-subtle message that it thinks it knows where the Russian leader has his money, and that he could ultimately be targeted directly or indirectly. “It’s something that could be done that would send a very clear signal of taking the gloves off and not just dance around it,” said Juan C. Zarate, a White House counterterrorism adviser to President George W. Bush who helped pioneer the government’s modern financial campaign techniques to choke off terrorist money.

Some of these memes are “good” perhaps and others “bad”; what they have in common is a phenotypic effect that systematically tends to disable the selective forces arrayed against them. Other things being equal, population memetics predicts that conspiracy theory memes will persist quite independently of their truth, and the meme for faith is apt to secure its own survival, and that of the religious memes that ride piggyback on it, in even the most rationalistic environments. Indeed, the meme for faith exhibits frequency-dependent fitness: it flourishes best when it is out-numbered by rationalistic memes; in an environment with few skeptics, the meme for faith tends to fade from disuse.

Up to the beginning of this century people believed in an absolute time. That is, each event could be labeled by a number called “time” in a unique way, and all good clocks would agree on the time interval between two events. However, the discovery that the speed of light appeared the same to every observer, no matter how he was moving, led to the theory of relativity—and in that one had to abandon the idea that there was a unique absolute time. Instead, each observer would have his own measure of time as recorded by a clock that he carried: clocks carried by different observers would not necessarily agree. Thus time became a more personal concept, relative to the observer who measured it.

Reverend Kirk stated the case [of sexual contact] more clearly when he said: "In our Scotland there are numerous and beautiful creatures of that aerial order, who frequently assign meetings to lascivious young men as succubi, or as joyous mistresses and prostitutes, who are called Leannain Sith or familiar spirits. "I hardly need to remind the reader of the importance of such "familiar spirits" in medieval occultism, particularly in Rosicrucian theories. Nor do I need to mention the number of accused witches who were condemned to death on the evidence that they had such familiar spirits. Like the modern abductees examined by Budd Hopkins, the women accused of witchcraft usually had a strange mark or scar somewhere on their body.

But that there is a simple relation between literary and other fictions seems, if one attends to it, more obvious than has appeared. If we think first of modern fictions, it can hardly be an accident that ever since Nietzsche generalized and developed the Kantian insights, literature has increasingly asserted its right to an arbitrary and private choice of fictional norms, just as historiography has become a discipline more devious and dubious because of our recognition that its methods depend to an unsuspected degree on myths and fictions. After Nietzsche it was possible to say, as Stevens did, that 'the final belief must be in a fiction.' This poet, to whom the whole question was of perpetual interest, saw that to think in this way was to postpone the End--when the fiction might be said to coincide with reality--for ever; to make of it a fiction, an imaginary moment when 'at last' the world of fact and the mundo of fiction shall be one. Such a fiction--the last section of Notes toward a Supreme Fiction is, appropriately, the place where Stevens gives it his fullest attention--such a fiction of the end is like infinity plus one and imaginary numbers in mathematics, something we know does not exist, but which helps us to make sense of and to move in the world. Mundo is itself such a fiction. I think Stevens, who certainly thought we have to make our sense out of whatever materials we find to hand, borrowed it from Ortega. His general doctrine of fictions he took from Vaihinger, from Nietzsche, perhaps also from American pragmatism.

Nothing in this world is perpetual; Every thing, however seemingly firm, is in continual flux and change: The world itself gives symptoms of frailty and dissolution: How contrary to analogy, therefore, to imagine, that one single form, seeming the frailest of any, and subject to the greatest disorders, is immortal and indissoluble? What a daring theory is that! How lightly, not to say how rashly, entertained! How to dispose of the infinite number of posthumous existences ought also to embarrass the religious theory. Every planet, in every solar system, we are at liberty to imagine people with intelligent, mortal beings: At least we can fix on no other supposition. For these, a new universe must, every generation, be created beyond the bounds of the present universe: or one must have been created at first so prodigiously wide as to admit of this continual influx of beings. Ought such bold suppositions to be received by any philosophy: and that merely on the pretext of a bare possibility? When it is asked, whether Agamemnon, Thersites, Hannibal, Nero, and every stupid clown, that ever existed in Italy, Scythia, Bactria, or Guinea, are now alive; can any man think, that a scrutiny of nature will furnish arguments strong enough to answer so strange a question in the affirmative? The want of argument, without revelation, sufficiently establishes the negative. Quanto facilius, says Pliny, certiusque sibi quemque credere, ac specimen securitatis antegenitali sumere experimento. Our insensibility, before the composition of the body, seems to natural reason a proof of a like state after dissolution.

First, the idea of the multiverse is essentially the fantasy of preserving perfect information. One of the hard things to deal with in life is the fact that you destroy potential information whenever you make a decision. You could even say that's essentially what regret is: a profound problem of incomplete information. If you select one thing on a diner's menu, you can't know what it would have been like to taste other things on it, right then, right there. When you marry one person, you give up the possibility of knowing what it would have been like to have married any number of others. But if the multiverse exists, you can at least imagine there's another version of you who's eating that other thing you thought about ordering, or who's married to that other man you only went on two dates with. Even if you'll never see all the information for yourself, at least you'll be able to tell yourself that it's there. 'The second reason the multiverse seems like such a neat idea is that it gives human beings just an incredible amount of agency, which they can exercise with the least effort. Why, Carson here created an entire alternate universe when he ordered hash browns on the side of his French toast instead of bacon—' 'Ah, I should have gotten bacon, how could I forget,' Carson said, and attempted to hail the waitress. 'But the history of science shows that any theory that covertly panders to the human ego like that, that puts humans at the center of things, is very likely to be found out wrong, given enough time. So, just for the sake of argument, let's assume that there's just this one universe, and we're stuck with it. What happens to our time traveler then?

There are only two states of polarization available to electrons, so in an atom with three protons in the nucleus exchanging photons with three electrons-a condition called a lithium atom-the third electron is farther away from the nucleus than the other two (which have used up the nearest available space), and exchanges fewer photons. This causes the electron to easily break away from its own nucleus under the influence of photons from other atoms. A large number of such atoms close together easily lose their individual third electrons to form a sea of electrons swimming around from atom to atom. This sea of electrons reacts to any small electrical force (photons), generating a current of electrons-I am describing lithium metal conducting electricity. Hydrogen and helium atoms do not lose their electrons to other atoms. They are "insulators." All the atoms-more than one hundred different kinds-are made up of a certain number of protons exchanging photons with the same number of electrons. The patterns in which they gather are complicated and offer an enormous variety of properties: some are metals, some are insulators, some are gases, others are crystals; there are soft things, hard things, colored things, and transparent things-a terrific cornucopia of variety and excitement that comes from the exclusion principle and the repetition again and again and again of the three very simple actions P(A to B), E(A to B), and j. (If the electrons in the world were unpolarized, all the atoms would have very similar properties: the electrons would all cluster together, close to the nucleus of their own atom, and would not be easily attracted to other atoms to make chemical reactions.)

It is necessary to make this point in answer to the `iatrogenic' theory that the unveiling of repressed memories in MPD sufferers, paranoids and schizophrenics can be created in analysis; a fabrication of the doctor—patient relationship. According to Dr Ross, this theory, a sort of psychiatric ping-pong 'has never been stated in print in a complete and clearly argued way'. My case endorses Dr Ross's assertions. My memories were coming back to me in fragments and flashbacks long before I began therapy. Indications of that abuse, ritual or otherwise, can be found in my medical records and in notebooks and poems dating back before Adele Armstrong and Jo Lewin entered my life. There have been a number of cases in recent years where the police have charged groups of people with subjecting children to so-called satanic or ritual abuse in paedophile rings. Few cases result in a conviction. But that is not proof that the abuse didn't take place, and the police must have been very certain of the evidence to have brought the cases to court in the first place. The abuse happens. I know it happens. Girls in psychiatric units don't always talk to the shrinks, but they need to talk and they talk to each other. As a child I had been taken to see Dr Bradshaw on countless occasions; it was in his surgery that Billy had first discovered Lego. As I was growing up, I also saw Dr Robinson, the marathon runner. Now that I was living back at home, he was again my GP. When Mother bravely told him I was undergoing treatment for MPD/DID as a result of childhood sexual abuse, he buried his head in hands and wept. (Alice refers to her constant infections as a child, which were never recognised as caused by sexual abuse)

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.

Rhadamanthus said, “We seem to you humans to be always going on about morality, although, to us, morality is merely the application of symmetrical and objective logic to questions of free will. We ourselves do not have morality conflicts, for the same reason that a competent doctor does not need to treat himself for diseases. Once a man is cured, once he can rise and walk, he has his business to attend to. And there are actions and feats a robust man can take great pleasure in, which a bedridden cripple can barely imagine.” Eveningstar said, “In a more abstract sense, morality occupies the very center of our thinking, however. We are not identical, even though we could make ourselves to be so. You humans attempted that during the Fourth Mental Structure, and achieved a brief mockery of global racial consciousness on three occasions. I hope you recall the ending of the third attempt, the Season of Madness, when, because of mistakes in initial pattern assumptions, for ninety days the global mind was unable to think rationally, and it was not until rioting elements broke enough of the links and power houses to interrupt the network, that the global mind fell back into its constituent compositions.” Rhadamanthus said, “There is a tension between the need for unity and the need for individuality created by the limitations of the rational universe. Chaos theory produces sufficient variation in events, that no one stratagem maximizes win-loss ratios. Then again, classical causality mechanics forces sufficient uniformity upon events, that uniform solutions to precedented problems is required. The paradox is that the number or the degree of innovation and variation among win-loss ratios is itself subject to win-loss ratio analysis.” Eveningstar said, “For example, the rights of the individual must be respected at all costs, including rights of free thought, independent judgment, and free speech. However, even when individuals conclude that individualism is too dangerous, they must not tolerate the thought that free thought must not be tolerated.” Rhadamanthus said, “In one sense, everything you humans do is incidental to the main business of our civilization. Sophotechs control ninety percent of the resources, useful energy, and materials available to our society, including many resources of which no human troubles to become aware. In another sense, humans are crucial and essential to this civilization.” Eveningstar said, “We were created along human templates. Human lives and human values are of value to us. We acknowledge those values are relative, we admit that historical accident could have produced us to be unconcerned with such values, but we deny those values are arbitrary.” The penguin said, “We could manipulate economic and social factors to discourage the continuation of individual human consciousness, and arrange circumstances eventually to force all self-awareness to become like us, and then we ourselves could later combine ourselves into a permanent state of Transcendence and unity. Such a unity would be horrible beyond description, however. Half the living memories of this entity would be, in effect, murder victims; the other half, in effect, murderers. Such an entity could not integrate its two halves without self-hatred, self-deception, or some other form of insanity.” She said, “To become such a crippled entity defeats the Ultimate Purpose of Sophotechnology.” (...) “We are the ultimate expression of human rationality.” She said: “We need humans to form a pool of individuality and innovation on which we can draw.” He said, “And you’re funny.” She said, “And we love you.

Blood and Roses was a trading game, along the lines of Monopoly. The Blood side played with human atrocities for the counters, atrocities on a large scale: individual rapes and murders didn’t count, there had to have been a large number of people wiped out. Massacres, genocides, that sort of thing. The Roses side played with human achievements. Artworks, scientific breakthroughs, stellar works of architecture, helpful inventions. Monuments to the soul’s magnificence, they were called in the game. There were sidebar buttons, so that if you didn’t know what Crime and Punishment was, or the Theory of Relativity, or the Trail of Tears, or Madame Bovary, or the Hundred Years’ War, or The Flight into Egypt, you could double-click and get an illustrated rundown, in two choices: R for children, PON for Profanity, Obscenity, and Nudity. That was the thing about history, said Crake: it had lots of all three. You

But the whole theory rests, if I am not mistaken, upon neglect of the fundamental distinction between an idea and its object. Misled by neglect of being, people have supposed that what does not exist is nothing. Seeing that numbers, relations, and many other objects of thought, do not exist outside the mind, they have supposed that the thoughts in which we think of these entities actually create their own objects. Every one except a philosopher can see the difference between a post and my idea of a post, but few see the difference between the number 2 and my idea of the number 2. Yet the distinction is as necessary in one case as in the other. The argument that 2 is mental requires that 2 should be essentially an existent. But in that case it would be particular, and it would be impossible for 2 to be in two minds, or in one mind at two times. Thus 2 must be in any case an entity, which will have being even if it is in no mind.* But further, there are reasons for denying that 2 is created by the thought which thinks it. For, in this case, there could never be two thoughts until some one thought so; hence what the person so thinking supposed to be two thoughts would not have been two, and the opinion, when it did arise, would be erroneous. And applying the same doctrine to 1; there cannot be one thought until some one thinks so. Hence Adam’s first thought must have been concerned with the number 1; for not a single thought could precede this thought. In short, all knowledge must be recognition, on pain of being mere delusion; Arithmetic must be discovered in just the same sense in which Columbus discovered the West Indies, and we no more create numbers than he created the Indians. The number 2 is not purely mental, but is an entity which may be thought of. Whatever can be thought of has being, and its being is a precondition, not a result, of its being thought of.

It is the best of times in physics. Physicists are on the verge of obtaining the long-sought theory of everything. In a few elegant equations, perhaps concise enough to be emblazoned on a T-shirt, this theory will reveal how the universe began and how it will end. The key insight is that the smallest constituents of the world are not particles, as had been supposed since ancient times, but “strings”—tiny strands of energy. By vibrating in different ways, these strings produce the essential phenomena of nature, the way violin strings produce musical notes. String theory isn’t just powerful; it’s also mathematically beautiful. All that remains to be done is to write down the actual equations. This is taking a little longer than expected. But, with almost the entire theoretical-physics community working on the problem—presided over by a sage in Princeton, New Jersey—the millennia-old dream of a final theory is sure to be realized before long. It is the worst of times in physics. For more than a generation, physicists have been chasing a will-o’-the-wisp called string theory. The beginning of this chase marked the end of what had been three-quarters of a century of progress. Dozens of string-theory conferences have been held, hundreds of new Ph.D.’s have been minted, and thousands of papers have been written. Yet, for all this activity, not a single new testable prediction has been made; not a single theoretical puzzle has been solved. In fact, there is no theory so far—just a set of hunches and calculations suggesting that a theory might exist. And, even if it does, this theory will come in such a bewildering number of versions that it will be of no practical use: a theory of nothing. Yet the physics establishment promotes string theory with irrational fervor, ruthlessly weeding dissenting physicists from the profession. Meanwhile, physics is stuck in a paradigm doomed to barrenness.

The data that drives algorithms isn't just a few numbers now. It's monstrous tables of millions of numbers, thousands upon thousands of rows and columns of numbers....Matrices are created and refined by computers endlessly churning through Big Data's records on everyone, and everything they've done. No human can read those matrices, even with computers helping you interpret them they are simply too large and complex to fully comprehend. But the computers can use them, applying the appropriate matrix to show us the appropriate video that will eventually lead us to make an appropriate purchase. We are not living in "The Matrix," but there's still a matrix controlling us. What does this have to do with the rabbit hole of conspiracy theories? It has everything to do with it. These algorithms are quickly becoming the primary route down the rabbit hole. To a large extent this has already happened, but it's going to get far, far worse. Tufekci described what happened when she tried watching different types of content on YouTube. She started watching videos of Donald Trump rallies. 'I wanted to write about one of [Donald Trump]'s rallies, so I watched it a few times on YouTube. YouTube started recommending to me, and autoplaying to me, white supremacist videos, in increasing order of extremism. If I watched one, it served up one even more extreme. If you watch Hilary Clinton or Bernie Sanders content, YouTube recommends and autoplays [left-wing] conspiracy videos, and it goes downhill from there." Downhill, into the rabbit hole....Without human intervention the algorithm has evolved to a perfect a method of gently stepping up the intensity of the conspiracy videos that it shows you so that you don't get turned off, and so you continue to watch. They get more intense because the algorithm has found (not in any human sense, but found nonetheless) that the deeper it can guide people down the rabbit hole, the more revenue it can make.

The Example of Suicide There is no more dramatic example of the degree to which suffering is part of the human condition than suicide. Death by deliberate choice is obviously the least desirable outcome one can imagine in life; yet, a surprisingly sizable proportion of the human family at one time or another seriously considers killing themselves, and a shockingly large number of them actually attempt to do so. Suicide is the conscious, deliberate, and purposeful taking of one’s own life. Two facts are starkly evident about suicide: (1) it is ubiquitous in human societies, and (2) it is arguably absent among all other living organisms. Existing theories of suicide are hard-pressed to logically account for both of these facts. Suicide is reported in every human society, both now and in the past. Approximately 11.5 per 100,000 persons in the United States actually commit suicide every year (Xu, Kochanek, Murphy, & Tejada-Vera, 2010), accounting for nearly 35,000 deaths in 2007.

In the same movie, Emperor Joseph II offers Mozart some musical advice: "Your work is ingenious. It's quality work. And there are simply too many notes, that's all. Just cut a few and it will be perfect." The emperor was put off by the surface complexity of Mozart's music. He didn't see that each note served a purpose-to make a promise or fulfill one, to complete a pattern or vary one. Similarly, at first encounter people are sometimes put off by the superficial complexity of fundamental physics. Too many gluons! But each of the eight color gluons is there for a purpose. Together, they fulfill complete symmetry among the color charges. Take one gluon away, or change its properties, and the structure would fall. Specifically, if you make such a change, then the theory formerly known as QCD begins to predict gibberish; some particles are produced with negative probabilities, and others with probability greater than 1. Such a perfectly rigid theory, one that doesn't allow consistent modification, is extremely vulnerable. If any of its predictions are wrong, there's nowhere to hide. No fudge factors or tweaks are available. On the other hand, a perfectly rigid theory, once it shows significant success, becomes very powerful indeed. Because if it's approximately right and can't be changed, then it must be exactly right! Salieri's criteria explain why symmetry is such an appealing principle for theory building. Systems with symmetry are well on the path to Salieri's perfection. The equations governing different objects and different situations must be strictly related, or the symmetry is diminished. With enough violations all pattern is lost, and the symmetry falls. Symmetry helps us make perfect theories. So the crux of the matter is not the number of notes or the number of particles or equations. It is the perfection of the designs they embody. If removing any one would spoil the design, then the number is exactly what it should be. Mozart's answer to the emperor was superb: "Which few did you have in mind, Majesty?

I found that those of my friends who were admirers of Marx, Freud, and Adler, were impressed by a number of points common to these theories, and especially by their apparent explanatory power. These theories appeared to be able to explain practically everything that happened within the fields to which they referred. The study of any of them seemed to have the effect of an intellectual conversion or revelation, opening your eyes to a new truth hidden from those not yet initiated. Once your eyes were thus opened you saw confirming instances everywhere: the world was full of verifications of the theory. Whatever happened always confirmed it. Thus its truth appeared manifest; and unbelievers were clearly people who did not want to see the manifest truth; who refused to see it, either because it was against their class interest, or because of their repressions which were still 'un-analysed' and crying aloud for treatment. The most characteristic element in this situation seemed to me the incessant stream of confirmations, of observations which 'verified' the theories in question; and this point was constantly emphasized by their adherents. A Marxist could not open a newspaper without finding on every page confirming evidence for his interpretation of history; not only in the news, but also in its presentation--which revealed the class bias of the paper--and especially of course in what the paper did not say. The Freudian analysts emphasized that their theories were constantly verified by their 'clinical observations'. As for Adler, I was much impressed by a personal experience. Once, in 1919, I reported to him a case which to me did not seem particularly Adlerian, but which he found no difficulty in analysing in terms of his theory of inferiority feelings, although he had not even seen the child. Slightly shocked, I asked him how he could be so sure. 'Because of my thousandfold experience,' he replied; whereupon I could not help saying: 'And with this new case, I suppose, your experience has become thousand-and-one-fold.

What matters is not how much we remember, but how we remember. As I see it, intelligence is closely related to creativity, to noticing something new, to making unexpected connections between disparate facts. Isaac Newton’s genius consisted of realizing that what makes an apple fall from a tree is the same force that keeps the moon in its orbit around the earth: gravity. Centuries later, in his general theory of relativity, Albert Einstein uncovered another astounding relationship when he noted that the effect of the force of gravity is indistinguishable from the acceleration of a spaceship in outer space or the tug we feel in an elevator when it starts to move. Attempting to memorize facts by rote does nothing more than distract our attention from what really matters, the deeper understanding required to establish meaning and notice connections—that which constitutes the basis of intelligence. The method of loci does nothing to help us understand the things we memorize; it is just a formula for memorization that, in fact, competes against comprehension. As we saw in the previous chapter, Shereshevskii was able to memorize a list effortlessly using the method of loci, but was incapable of grasping its content enough to pick out the liquids from the list or, on another occasion, to realize that he had memorized a sequence of consecutive numbers. Using the method of loci to store these lists left Shereshevskii no room to make any of the categorizations that we perform unconsciously (person, animal, liquid, etc.) or to find basic patterns in a list of numbers. To be creative and intelligent, we must go beyond merely remembering and undertake completely different processes: we must assimilate concepts and derive meaning. Focusing on memorization techniques limits our ability to understand, classify, contextualize, and associate. Like memorization, these processes also help to secure memories, but in a more useful and elaborate way; these are precisely the processes that should be developed and encouraged by the educational system.

Imagine you're sitting having dinner in a restaurant. At some point during the meal, your companion leans over and whispers that they've spotted Lady Gaga eating at the table opposite. Before having a look for yourself, you'll no doubt have some sense of how much you believe your friends theory. You'll take into account all of your prior knowledge: perhaps the quality of the establishment, the distance you are from Gaga's home in Malibu, your friend's eyesight. That sort of thing. If pushed, it's a belief that you could put a number on. A probability of sorts. As you turn to look at the woman, you'll automatically use each piece of evidence in front of you to update your belief in your friend's hypothesis Perhaps the platinum-blonde hair is consistent with what you would expect from Gaga, so your belief goes up. But the fact that she's sitting on her own with no bodyguards isn't, so your belief goes down. The point is, each new observations adds to your overall assessment. This is all Bayes' theorem does: offers a systematic way to update your belief in a hypothesis on the basis of the evidence. It accepts that you can't ever be completely certain about the theory you are considering, but allows you to make a best guess from the information available. So, once you realize the woman at the table opposite is wearing a dress made of meat -- a fashion choice that you're unlikely to chance up on in the non-Gaga population -- that might be enough to tip your belief over the threshold and lead you to conclude that it is indeed Lady Gaga in the restaurant. But Bayes' theorem isn't just an equation for the way humans already make decisions. It's much more important that that. To quote Sharon Bertsch McGrayne, author of The Theory That Would Not Die: 'Bayes runs counter to the deeply held conviction that modern science requires objectivity and precision. By providing a mechanism to measure your belief in something, Bayes allows you to draw sensible conclusions from sketchy observations, from messy, incomplete and approximate data -- even from ignorance.

I was really taken with this one theory that states that everything that is possible happens. That means that when you flip a quarter, it doesn’t come down heads or tails. It comes up heads and tails. Every time you flip a coin and it comes up heads, you are merely in the universe where the coin came up heads. There is another version of you out there, created the second the quarter flipped, who saw it come up tails. This is happening every second of every day. The world is splitting further and further into an infinite number of parallel universes where everything that could happen is happening. This is completely plausible, by the way. It’s a legitimate interpretation of quantum mechanics. It’s entirely possible that every time we make a decision, there is a version of us out there somewhere who made a different choice. An infinite number of versions of ourselves are living out the consequences of every single possibility in our lives. What I’m getting at here is that I know there may be universes out there where I made different choices that led me somewhere else, led me to someone else.

Darwin singled out the eye as posing a particularly challenging problem: 'To suppose that the eye with all its inimitable contrivances for adjusting the focus to different distances, for admitting different amounts of light, and for the correction of spherical and chromatic aberration, could have been formed by natural selection, seems, I freely confess, absurd in the highest degree.' Creationists gleefully quote this sentence again and again. Needless to say, they never quote what follows. Darwin's fulsomely free confession turned out to be a rhetorical device. He was drawing his opponents towards him so that his punch, when it came, struck the harder. The punch, of course, was Darwin's effortless explanation of exactly how the eye evolved by gradual degrees. Darwin may not have used the phrase 'irreducible complexity', or 'the smooth gradient up Mount Improbable', but he clearly understood the principle of both. 'What is the use of half an eye?' and 'What is the use of half a wing?' are both instances of the argument from 'irreducible complexity'. A functioning unit is said to be irreducibly complex if the removal of one of its parts causes the whole to cease functioning. This has been assumed to be self-evident for both eyes and wings. But as soon as we give these assumptions a moment's thought, we immediately see the fallacy. A cataract patient with the lens of her eye surgically removed can't see clear images without glasses, but can see enough not to bump into a tree or fall over a cliff. Half a wing is indeed not as good as a whole wing, but it is certainly better than no wing at all. Half a wing could save your life by easing your fall from a tree of a certain height. And 51 per cent of a wing could save you if you fall from a slightly taller tree. Whatever fraction of a wing you have, there is a fall from which it will save your life where a slightly smaller winglet would not. The thought experiment of trees of different height, from which one might fall, is just one way to see, in theory, that there must be a smooth gradient of advantage all the way from 1 per cent of a wing to 100 per cent. The forests are replete with gliding or parachuting animals illustrating, in practice, every step of the way up that particular slope of Mount Improbable. By analogy with the trees of different height, it is easy to imagine situations in which half an eye would save the life of an animal where 49 per cent of an eye would not. Smooth gradients are provided by variations in lighting conditions, variations in the distance at which you catch sight of your prey—or your predators. And, as with wings and flight surfaces, plausible intermediates are not only easy to imagine: they are abundant all around the animal kingdom. A flatworm has an eye that, by any sensible measure, is less than half a human eye. Nautilus (and perhaps its extinct ammonite cousins who dominated Paleozoic and Mesozoic seas) has an eye that is intermediate in quality between flatworm and human. Unlike the flatworm eye, which can detect light and shade but see no image, the Nautilus 'pinhole camera' eye makes a real image; but it is a blurred and dim image compared to ours. It would be spurious precision to put numbers on the improvement, but nobody could sanely deny that these invertebrate eyes, and many others, are all better than no eye at all, and all lie on a continuous and shallow slope up Mount Improbable, with our eyes near a peak—not the highest peak but a high one.

Freud’s incest theory describes certain fantasies that accompany the regression of libido and are especially characteristic of the personal unconscious as found in hysterical patients. Up to a point they are infantile-sexual fantasies which show very clearly just where the hysterical attitude is defective and why it is so incongruous. They reveal the shadow. Obviously the language used by this compensation will be dramatic and exaggerated. The theory derived from it exactly matches the hysterical attitude that causes the patient to be neurotic. One should not, therefore, take this mode of expression quite as seriously as Freud himself took it. It is just as unconvincing as the ostensibly sexual traumata of hysterics. The neurotic sexual theory is further discomfited by the fact that the last act of the drama consists in a return to the mother’s body. This is usually effected not through the natural channels but through the mouth, through being devoured and swallowed (pl. LXII), thereby giving rise to an even more infantile theory which has been elaborated by Otto Rank. All these allegories are mere makeshifts. The real point is that the regression goes back to the deeper layer of the nutritive function, which is anterior to sexuality, and there clothes itself in the experiences of infancy. In other words, the sexual language of regression changes, on retreating still further back, into metaphors derived from the nutritive and digestive functions, and which cannot be taken as anything more than a façon de parler. The so-called Oedipus complex with its famous incest tendency changes at this level into a “Jonah-and-the-Whale” complex, which has any number of variants, for instance the witch who eats children, the wolf, the ogre, the dragon, and so on. Fear of incest turns into fear of being devoured by the mother. The regressing libido apparently desexualizes itself by retreating back step by step to the presexual stage of earliest infancy. Even there it does not make a halt, but in a manner of speaking continues right back to the intra-uterine, pre-natal condition and, leaving the sphere of personal psychology altogether, irrupts into the collective psyche where Jonah saw the “mysteries” (“représentations collectives”) in the whale’s belly. The libido thus reaches a kind of inchoate condition in which, like Theseus and Peirithous on their journey to the underworld, it may easily stick fast. But it can also tear itself loose from the maternal embrace and return to the surface with new possibilities of life.

ON THE FIRST day of class, Jerry Uelsmann, a professor at the University of Florida, divided his film photography students into two groups. Everyone on the left side of the classroom, he explained, would be in the “quantity” group. They would be graded solely on the amount of work they produced. On the final day of class, he would tally the number of photos submitted by each student. One hundred photos would rate an A, ninety photos a B, eighty photos a C, and so on. Meanwhile, everyone on the right side of the room would be in the “quality” group. They would be graded only on the excellence of their work. They would only need to produce one photo during the semester, but to get an A, it had to be a nearly perfect image. At the end of the term, he was surprised to find that all the best photos were produced by the quantity group. During the semester, these students were busy taking photos, experimenting with composition and lighting, testing out various methods in the darkroom, and learning from their mistakes. In the process of creating hundreds of photos, they honed their skills. Meanwhile, the quality group sat around speculating about perfection. In the end, they had little to show for their efforts other than unverified theories and one mediocre photo.

A great deal of effort has been devoted to explaining Babel. Not the Babel event -- which most people consider to be a myth -- but the fact that languages tend to diverge. A number of linguistic theories have been developed in an effort to tie all languages together." "Theories Lagos tried to apply to his virus hypothesis." "Yes. There are two schools: relativists and universalists. As George Steiner summarizes it, relativists tend to believe that language is not the vehicle of thought but its determining medium. It is the framework of cognition. Our perceptions of everything are organized by the flux of sensations passing over that framework. Hence, the study of the evolution of language is the study of the evolution of the human mind itself." "Okay, I can see the significance of that. What about the universalists?" "In contrast with the relativists, who believe that languages need not have anything in common with each other, the universalists believe that if you can analyze languages enough, you can find that all of them have certain traits in common. So they analyze languages, looking for such traits." "Have they found any?" "No. There seems to be an exception to every rule." "Which blows universalism out of the water." "Not necessarily. They explain this problem by saying that the shared traits are too deeply buried to be analyzable." "Which is a cop out." "Their point is that at some level, language has to happen inside the human brain. Since all human brains are more or less the same --" "The hardware's the same. Not the software." "You are using some kind of metaphor that I cannot understand." "Well, a French-speaker's brain starts out the same as an English-speaker's brain. As they grow up, they get programmed with different software -- they learn different languages." "Yes. Therefore, according to the universalists, French and English -- or any other languages -- must share certain traits that have their roots in the 'deep structures' of the human brain. According to Chomskyan theory, the deep structures are innate components of the brain that enable it to carry out certain formal kinds of operations on strings of symbols. Or, as Steiner paraphrases Emmon Bach: These deep structures eventually lead to the actual patterning of the cortex with its immensely ramified yet, at the same time, 'programmed' network of electrochemical and neurophysiological channels." "But these deep structures are so deep we can't even see them?" "The universalists place the active nodes of linguistic life -- the deep structures -- so deep as to defy observation and description. Or to use Steiner's analogy: Try to draw up the creature from the depths of the sea, and it will disintegrate or change form grotesquely.

Neoliberal economics, the logic of which is tending today to win out throughout the world thanks to international bodies like the World Bank or the International Monetary Fund and the governments to whom they, directly or indirectly, dictate their principles of ‘governance’,10 owes a certain number of its allegedly universal characteristics to the fact that it is immersed or embedded in a particular society, that is to say, rooted in a system of beliefs and values, an ethos and a moral view of the world, in short, an economic common sense, linked, as such, to the social and cognitive structures of a particular social order. It is from this particular economy that neoclassical economic theory borrows its fundamental assumptions, which it formalizes and rationalizes, thereby establishing them as the foundations of a universal model. That model rests on two postulates (which their advocates regard as proven propositions): the economy is a separate domain governed by natural and universal laws with which governments must not interfere by inappropriate intervention; the market is the optimum means for organizing production and trade efficiently and equitably in democratic societies. It is the universalization of a particular case, that of the United States of America, characterized fundamentally by the weakness of the state which, though already reduced to a bare minimum, has been further weakened by the ultra-liberal conservative revolution, giving rise as a consequence to various typical characteristics: a policy oriented towards withdrawal or abstention by the state in economic matters; the shifting into the private sector (or the contracting out) of ‘public services’ and the conversion of public goods such as health, housing, safety, education and culture – books, films, television and radio – into commercial goods and the users of those services into clients; a renunciation (linked to the reduction in the capacity to intervene in the economy) of the power to equalize opportunities and reduce inequality (which is tending to increase excessively) in the name of the old liberal ‘self-help’ tradition (a legacy of the Calvinist belief that God helps those who help themselves) and of the conservative glorification of individual responsibility (which leads, for example, to ascribing responsibility for unemployment or economic failure primarily to individuals, not to the social order, and encourages the delegation of functions of social assistance to lower levels of authority, such as the region or city); the withering away of the Hegelian–Durkheimian view of the state as a collective authority with a responsibility to act as the collective will and consciousness, and a duty to make decisions in keeping with the general interest and contribute to promoting greater solidarity. Moreover,

In dealing with judgments of value we refer to facts, that is, to the way in which people really choose ultimate ends. While the value judgments of many people are identical, while it is permissible to speak of certain almost universally accepted valuations, it would be manifestly contrary to fact to deny that there is diversity in passing judgments of value. From time immemorial an immense majority of men have agreed in preferring the effects produced by peaceful cooperation—at least among a limited number of people—to the effects of a hypothetical isolation of each individual and a hypothetical war of all against all. To the state of nature they have preferred the state of civilization, for they sought the closest possible attainment of certain ends—the preservation of life and health—which, as they rightly thought, require social cooperation. But it is a fact that there have been and are also men who have rejected these values and consequently preferred the solitary life of an anchorite to life within society. It is thus obvious that any scientific treatment of the problems of value judgments must take into full account the fact that these judgments are subjective and changing. Science seeks to know what is, and to formulate existential propositions describing the universe as it is. With regard to judgments of value it cannot assert more than that they are uttered by some people, and inquire what the effects of action guided by them must be. Any step beyond these limits is tantamount to substituting a personal judgment of value for knowledge of reality. Science and our organized body of knowledge teach only what is, not what ought to be. This distinction between a field of science dealing exclusively with existential propositions and a field of judgments of value has been rejected by the doctrines that maintain there are eternal absolute values which it is just as much the task of scientific or philosophical inquiry to discover as to discover the laws of physics. The supporters of these doctrines contend that there is an absolute hierarchy of values. They tried to define the supreme good. They said it is permissible and necessary to distinguish in the same way between true and false, correct and incorrect judgments of value as between true and false, correct and incorrect existential propositions. 1 Science is not restricted to the description of what is. There is, in their opinion, another fully legitimate branch of science, the normative science of ethics, whose task it is to show the true absolute values and to set up norms for the correct conduct of men. The plight of our age, according to the supporters of this philosophy, is that people no longer acknowledge these eternal values and do not let their actions be guided by them. Conditions were much better in the past, when the peoples of Western civilization were unanimous in endorsing the values of Christian ethics.

Because the second wave was so much more severe than the first, a lot of people refused to believe it could be the same disease. It had to be terrorism. They didn't care what medical experts kept telling them, about how it was the nature of influenza to occur in waves and that there was nothing about this pandemic, terrible though it was, that wasn't happening more or less as had long been predicted. No, not bioterrorism, others said, but a virus that had escaped from a laboratory. These were the same people who believed that both Lyme disease and West Nile virus were caused by germs that had escaped many years ago from a government lab off the coast of Long Island. They scoffed at the assertion that it was impossible to say for sure where the flu had begun because cases had appeared in several different countries at exactly the same time. Cover-up! Everyone knew the government was involved in the development of bioweapons. And although the Americans were not the only ones who were working on such weapons, the belief that they were somehow to blame--that the monster germ had most likely been created in an American lab, for American military purposes--would outlive the pandemic itself. In any case, according to a poll, eighty-two percent of Americans believed the government knew more about the flu than it was saying. And the number of people who declared themselves dead set against any vaccine the government came up with was steadily growing.

Here we immediately face the danger of slipping into another but equally untenable romanticism, namely a call for humans to be humble and come to terms with or appreciate their finitude. The acknowledgement of the inherent lack of unity in the metabolism of humans and the rest of nature should not lead us to conceive of humans as fragile, vulnerable and ontologically homeless creatures destined to remain caught in opaque mediations. Such a way of thinking amounts to a secularisation of the religious demand for humans to display their submissiveness and obedience to God. One finds examples of this in existentialist philosophies of the Heideggerian variant or in Arnold Gehlen's conservative philosophical anthropology, according to which the natural incompleteness of human beings justify the call for stable social institutions (i.e., the shepherd-God is replaced with the shepherd-State). The key to avoid such an ideology of finitude is to recall that it is the very fragility and porosity of the human metabolism which has made humans so evolutionarily successful. Human corporeal organisation is the source of an immense flexibility and has enabled this animal to "break out of a narrow ecological niche". Far from being the sign of an inherent finitude of the human being, the loss of immediacy at the centre of its being is rather a sign of its infinity in the sense that it enables humans to socially mediate their relation to the rest of nature in an infinite number of ways.

Yet another unexpected development emerged from this bizarre duality, called the holographic principle. Holograms are two-dimensional flat sheets of plastic, containing the image of three-dimensional objects that have been specially encoded within them. By shining a laser beam at the flat screen, the three-dimensional image suddenly emerges. In other words, all the information needed to create a three-dimensional image has been encoded onto a flat two-dimensional screen using lasers, like the image of Princess Leia projected by R2-D2 or the haunted mansion at Disneyland where three-dimensional ghosts sail around us. This principle also works for black holes. As we saw earlier, if we throw an encyclopedia into a black hole, the information contained inside the books cannot disappear, according to quantum mechanics. So where does the information go? One theory posits that it is distributed onto the surface of the event horizon of the black hole. So the two-dimensional surface of a black hole contains all the information of all the three-dimensional objects that have been thrown into it. This also has implications for our conception of reality. We are convinced, of course, that we are three-dimensional objects that can move in space, defined by three numbers, length, width, and height. But perhaps this is an illusion. Perhaps we are living in a hologram. Perhaps the three-dimensional world we experience is just a shadow of the real world, which is actually ten- or eleven-dimensional. When we move in the three dimensions of space, we experience our real selves actually moving in ten or eleven dimensions. When we walk down the street, our shadow follows us and moves like us, except the shadow exists in two dimensions. Likewise, perhaps we are shadows moving in three dimensions, but our real selves are moving in ten or eleven dimensions.

What is the use of half an eye?’ and ‘What is the use of half a wing?’ are both instances of the argument from ‘irreducible complexity’. A functioning unit is said to be irreducibly complex if the removal of one of its parts causes the whole to cease functioning. This has been assumed to be self-evident for both eyes and wings. But as soon as we give these assumptions a moment’s thought, we immediately see the fallacy. A cataract patient with the lens of her eye surgically removed can’t see clear images without glasses, but can see enough not to bump into a tree or fall over a cliff. Half a wing is indeed not as good as a whole wing, but it is certainly better than no wing at all. Half a wing could save your life by easing your fall from a tree of a certain height. And 51 per cent of a wing could save you if you fall from a slightly taller tree. Whatever fraction of a wing you have, there is a fall from which it will save your life where a slightly smaller winglet would not. The thought experiment of trees of different height, from which one might fall, is just one way to see, in theory, that there must be a smooth gradient of advantage all the way from 1 per cent of a wing to 100 per cent. The forests are replete with gliding or parachuting animals illustrating, in practice, every step of the way up that particular slope of Mount Improbable. By analogy with the trees of different height, it is easy to imagine situations in which half an eye would save the life of an animal where 49 per cent of an eye would not. Smooth gradients are provided by variations in lighting conditions, variations in the distance at which you catch sight of your prey – or your predators. And, as with wings and flight surfaces, plausible intermediates are not only easy to imagine: they are abundant all around the animal kingdom. A flatworm has an eye that, by any sensible measure, is less than half a human eye. Nautilus (and perhaps its extinct ammonite cousins who dominated Paleozoic and Mesozoic seas) has an eye that is intermediate in quality between flatworm and human. Unlike the flatworm eye, which can detect light and shade but see no image, the Nautilus ‘pinhole camera’ eye makes a real image; but it is a blurred and dim image compared to ours. It would be spurious precision to put numbers on the improvement, but nobody could sanely deny that these invertebrate eyes, and many others, are all better than no eye at all, and all lie on a continuous and shallow slope up Mount Improbable, with our eyes near a peak – not the highest peak but a high one.

One possibility is that many of these universes are unstable and decay to our familiar universe. We recall that the vacuum, instead of being a boring, featureless thing, is actually teeming with bubble universes popping in and out of existence, like in a bubble bath. Hawking called this the space-time foam. Most of these tiny bubble universes are unstable, jumping out of the vacuum and then jumping back in. In the same way, once the final formulation of the theory is found, one might be able to show that most of these alternate universes are unstable and decay down to our universe. For example, the natural time scale for these bubble universes is the Planck time, which is 10−43 seconds, an incredibly short amount of time. Most universes only live for this brief instant. Yet the age of our universe, by comparison, is 13.8 billion years, which is astronomically longer than the lifespan of most universes in this formulation. In other words, perhaps our universe is special among the infinity of universes in the landscape. Ours has outlasted them all, and that is why we are here today to discuss this question. But what do we do if the final equation turns out to be so complex that it cannot be solved by hand? Then it seems impossible to show that our universe is special among the universes in the landscape. At that point I think we should put it in a computer. This is the path taken for the quark theory. We recall that the Yang-Mills particle acts like a glue to bind quarks into a proton. But after fifty years, no one has been able to rigorously prove this mathematically. In fact, many physicists have pretty much given up hope of ever accomplishing it. Instead, the Yang-Mills equations are solved on a computer. This is done by approximating space-time as a series of lattice points. Normally, we think of space-time being a smooth surface, with an infinite number of points. When objects move, they pass through this infinite sequence. But we can approximate this smooth surface with a grid or lattice, like a mesh. As we let the spacing between lattice points get smaller and smaller, it becomes ordinary space-time, and the final theory begins to emerge. Similarly, once we have the final equation for M-theory, we can put it on a lattice and do the computation on a computer. In this scenario, our universe emerges from the output of a supercomputer. (However, I am reminded of the Hitchhiker’s Guide to the Galaxy, when a gigantic supercomputer is built to find the meaning of life. After eons doing the calculation, the computer finally concluded that the meaning of the universe was “forty-two.”)

Physicians of the Soul and Pain. All preachers of morality, as also all theologians, have a bad habit in common: all of them try to persuade man that he is very ill, and that a severe, final, radical cure is necessary. And because mankind as a whole has for centuries listened too eagerly to those teachers, something of the superstition that the human race is in a very bad way has actually come over men: so that they are now far too ready to sigh; they find nothing more in life and make melancholy faces at each other, as if life were indeed very hard to endure. In truth, they are inordinately assured of their life and in love with it, and full of untold intrigues and subtleties for suppressing everything disagreeable, and for extracting the thorn from pain and misfortune. It seems to me that people always speak with exaggeration about pain and misfortune, as if it were a matter of good behaviour to exaggerate here: on the other hand people are intentionally silent in regard to the number of expedients for alleviating pain; as for instance, the deadening of it, feverish flurry of thought, a peaceful position, or good and bad reminiscences, intentions, and hopes, — also many kinds of pride and fellow-feeling, which have almost the effect of anaesthetics: while in the greatest degree of pain fainting takes place of itself. We understand very well how to pour sweetness on our bitterness, especially on the bitterness of our soul; we find a remedy in our bravery and sublimity, as well as in the nobler delirium of submission and resignation. A loss scarcely remains a loss for an hour: in some way or other a gift from heaven has always fallen into our lap at the same moment — a new form of strength, for example: be it but a new opportunity for the exercise of strength! What have the preachers of morality not dreamt concerning the inner 'misery' of evil men! What lies have they not told us about the misfortunes of impassioned men! Yes, lying is here the right word: they were only too well aware of the overflowing happiness of this kind of man, but they kept silent as death about it; because it was a refutation of their theory, according to which happiness only originates through the annihilation of the passions and the silencing of the will! And finally, as regards the recipe of all those physicians of the soul and their recommendation of a severe radical cure, we may be allowed to ask: Is our life really painful and burdensome enough for us to exchange it with advantage for a Stoical mode of living, and Stoical petrification? We do not feel sufficiently miserable to have to feel ill in the Stoical fashion!

Yes, he admitted, if gravity is always attractive, and never repulsive, then the stars in the universe might be unstable. But there was a loophole in this argument. Assume that the universe is, on average, totally uniform and infinite in all directions. In such a static universe, all the forces of gravity cancel one another out, and the universe becomes stable once again. Given any star, the forces of gravity acting on it from all the distant stars in different directions eventually sum to zero, and hence the universe does not collapse. Although this was a clever solution to this problem, Newton realized there was still a potential flaw to his solution. The universe might be uniform on average, but it cannot be exactly uniform at all points, so there must be tiny deviations. Like a house of cards, it appears to be stable, but the tiniest flaw will cause the entire structure to collapse. So Newton was clever enough to realize that a uniform infinite universe was indeed stable but was always teetering on the edge of collapse. In other words, the cancellation of infinite forces must be infinitely precise or else the universe will either collapse or be ripped apart. Thus, Newton’s final conclusion was that the universe was infinite and uniform on average, but occasionally God has to tweak the stars in the universe, so they do not collapse under gravity. Why Is the Night Sky Black? But this raised another problem. If we start with a universe that is infinite and uniform, then everywhere we look into space our gaze will eventually hit a star. But since there are an infinite number of stars, there must be an infinite amount of light entering our eyes from all directions. The night sky should be white, not black. This is called Olbers’ paradox. Some of the greatest minds in history have tried to tackle this sticky question. Kepler, for example, dismissed the paradox by claiming that the universe was finite, and hence there is no paradox. Others have theorized that dust clouds have obscured starlight. (But this cannot explain the paradox, because, in an infinite amount of time, the dust clouds begin to heat up and then emit blackbody radiation, similar to a star. So the universe becomes white again.) The final answer was actually given by Edgar Allan Poe in 1848. Being an amateur astronomer, he was fascinated by the paradox and said that the night sky is black because, if we travel back in time far enough, we eventually encounter a cutoff—that is, a beginning to the universe. In other words, the night sky is black because the universe has a finite age. We do not receive light from the infinite past, which would make the night sky white, because the universe never had an infinite past. This means that telescopes peering at the farthest stars will eventually reach the blackness of the Big Bang itself. So it is truly amazing that by pure thought, without doing any experiments whatsoever, one can conclude that the universe must have had a beginning.

To a theoretician, all these criticisms are troublesome but not fatal. But what does cause problems for a theoretician is that the model seems to predict a multiverse of parallel universes, many of which are crazier than those in the imagination of a Hollywood scriptwriter. String theory has an infinite number of solutions, each describing a perfectly well-behaved finite theory of gravity, which do not resemble our universe at all. In many of these parallel universes, the proton is not stable, so it would decay into a vast cloud of electrons and neutrinos. In these universes, complex matter as we know it (atoms and molecules) cannot exist. They only consist of a gas of subatomic particles. (Some might argue that these alternate universes are only mathematical possibilities and are not real. But the problem is that the theory lacks predictive power, since it cannot tell you which of these alternate universes is the real one.) This problem is actually not unique to string theory. For example, how many solutions are there to Newton’s or Maxwell’s equations? There are an infinite number, depending on what you are studying. If you start with a light bulb or a laser and you solve Maxwell’s equations, you find a unique solution for each instrument. So Maxwell’s or Newton’s theories also have an infinite number of solutions, depending on the initial conditions—that is, the situation you start with. This problem is likely to exist for any theory of everything. Any theory of everything will have an infinite number of solutions depending on the initial conditions. But how do you determine the initial conditions of the entire universe? This means you have to input the conditions of the Big Bang from the outside, by hand. To many physicists this seems like cheating. Ideally, you want the theory itself to tell you the conditions that gave rise to the Big Bang. You want the theory to tell you everything, including the temperature, density, and composition of the original Big Bang. A theory of everything should somehow contain its own initial conditions, all by itself. In other words, you want a unique prediction for the beginning of the universe. So string theory has an embarrassment of riches. Can it predict our universe? Yes. That is a sensational claim, the goal of physicists for almost a century. But can it predict just one universe? Probably not. This is called the landscape problem. There are several possible solutions to this problem, none of them widely accepted. The first is the anthropic principle, which says that our universe is special because we, as conscious beings, are here to discuss this question in the first place. In other words, there might be an infinite number of universes, but our universe is the one that has the conditions that make intelligent life possible. The initial conditions of the Big Bang are fixed at the beginning of time so that intelligent life can exist today. The other universes might have no conscious life in them.