Strings Must Use Single Quotes

About a block away from them there lived another Lithuanian family, consisting of an elderly widow and one grown son; their name was Majauszkis, and our friends struck up an acquaintance with them before long. One evening they came over for a visit, and naturally the first subject upon which the conversation turned was the neighborhood and its history; and then Grandmother Majauszkiene, as the old lady was called, proceeded to recite to them a string of horrors that fairly froze their blood. She was a wrinkled-up and wizened personage--she must have been eighty--and as she mumbled the grim story through her toothless gums, she seemed a very old witch to them. Grandmother Majauszkiene had lived in the midst of misfortune so long that it had come to be her element, and she talked about starvation, sickness, and death as other people might about weddings and holidays. The thing came gradually. In the first place as to the house they had bought, it was not new at all, as they had supposed; it was about fifteen years old, and there was nothing new upon it but the paint, which was so bad that it needed to be put on new every year or two. The house was one of a whole row that was built by a company which existed to make money by swindling poor people. The family had paid fifteen hundred dollars for it, and it had not cost the builders five hundred, when it was new. Grandmother Majauszkiene knew that because her son belonged to a political organization with a contractor who put up exactly such houses. They used the very flimsiest and cheapest material; they built the houses a dozen at a time, and they cared about nothing at all except the outside shine. The family could take her word as to the trouble they would have, for she had been through it all--she and her son had bought their house in exactly the same way. They had fooled the company, however, for her son was a skilled man, who made as high as a hundred dollars a month, and as he had had sense enough not to marry, they had been able to pay for the house. Grandmother Majauszkiene saw that her friends were puzzled at this remark; they did not quite see how paying for the house was "fooling the company." Evidently they were very inexperienced. Cheap as the houses were, they were sold with the idea that the people who bought them would not be able to pay for them. When they failed--if it were only by a single month--they would lose the house and all that they had paid on it, and then the company would sell it over again. And did they often get a chance to do that? Dieve! (Grandmother Majauszkiene raised her hands.) They did it--how often no one could say, but certainly more than half of the time. They might ask any one who knew anything at all about Packingtown as to that; she had been living here ever since this house was built, and she could tell them all about it. And had it ever been sold before? Susimilkie! Why, since it had been built, no less than four families that their informant could name had tried to buy it and failed.

Because when women understand chemistry, they begin to understand how things work.” Roth looked confused. “I’m referring to atoms and molecules, Roth,” she explained. “The real rules that govern the physical world. When women understand these basic concepts, they can begin to see the false limits that have been created for them.” “You mean by men.” “I mean by artificial cultural and religious policies that put men in the highly unnatural role of single-sex leadership. Even a basic understanding of chemistry reveals the danger of such a lopsided approach.” “Well,” he said, realizing he’d never seen it that way before, “I agree that society leaves much to be desired, but when it comes to religion, I tend to think it humbles us—teaches us our place in the world.” “Really?” she said, surprised. “I think it lets us off the hook. I think it teaches us that nothing is really our fault; that something or someone else is pulling the strings; that ultimately, we’re not to blame for the way things are; that to improve things, we should pray. But the truth is, we are very much responsible for the badness in the world. And we have the power to fix it.” “But surely you’re not suggesting that humans can fix the universe.” “I’m speaking of fixing us, Mr. Roth—our mistakes. Nature works on a higher intellectual plane. We can learn more, we can go further, but to accomplish this, we must throw open the doors. Too many brilliant minds are kept from scientific research thanks to ignorant biases like gender and race. It infuriates me and it should infuriate you. Science has big problems to solve: famine, disease, extinction. And those who purposefully close the door to others using self-serving, outdated cultural notions are not only dishonest, they’re knowingly lazy.

That’s why I wanted to use Supper at Six to teach chemistry. Because when women understand chemistry, they begin to understand how things work.” Roth looked confused. “I’m referring to atoms and molecules, Roth,” she explained. “The real rules that govern the physical world. When women understand these basic concepts, they can begin to see the false limits that have been created for them.” “You mean by men.” “I mean by artificial cultural and religious policies that put men in the highly unnatural role of single-sex leadership. Even a basic understanding of chemistry reveals the danger of such a lopsided approach.” “Well,” he said, realizing he’d never seen it that way before, “I agree that society leaves much to be desired, but when it comes to religion, I tend to think it humbles us—teaches us our place in the world.” “Really?” she said, surprised. “I think it lets us off the hook. I think it teaches us that nothing is really our fault; that something or someone else is pulling the strings; that ultimately, we’re not to blame for the way things are; that to improve things, we should pray. But the truth is, we are very much responsible for the badness in the world. And we have the power to fix it.” “But surely you’re not suggesting that humans can fix the universe.” “I’m speaking of fixing us, Mr. Roth—our mistakes. Nature works on a higher intellectual plane. We can learn more, we can go further, but to accomplish this, we must throw open the doors. Too many brilliant minds are kept from scientific research thanks to ignorant biases like gender and race. It infuriates me and it should infuriate you. Science has big problems to solve: famine, disease, extinction. And those who purposefully close the door to others using self-serving, outdated cultural notions are not only dishonest, they’re knowingly lazy. Hastings Research Institute is full of them.

But so far, we have only discussed applying quantum mechanics to the matter that moves within the gravity fields of Einstein’s theory. We have not discussed a much more difficult question: applying quantum mechanics to gravity itself in the form of gravitons. And this is where we encounter the biggest question of all: finding a quantum theory of gravity, which has frustrated the world’s great physicists for decades. So let us review what we have learned so far. We recall that when we apply the quantum theory to light, we introduce the photon, a particle of light. As this photon moves, it is surrounded by electric and magnetic fields that oscillate and permeate space and obey Maxwell’s equations. This is the reason why light has both particle-like and wavelike properties. The power of Maxwell’s equations lies in their symmetries—that is, the ability to turn electric and magnetic fields into each other. When the photon bumps into electrons, the equation that describes this interaction yields results that are infinite. However, using the bag of tricks devised by Feynman, Schwinger, Tomonaga, and many others, we are able to hide all the infinities. The resulting theory is called QED. Next, we applied this method to the nuclear force. We replaced the original Maxwell field with the Yang-Mills field, and replaced the electron with a series of quarks, neutrinos, etc. Then we introduced a new bag of tricks devised by ’t Hooft and his colleagues to eliminate all the infinities once again. So three of the four forces of the universe could now be unified into a single theory, the Standard Model. The resulting theory was not very pretty, since it was created by cobbling together the symmetries of the strong, weak, and electromagnetic forces, but it worked. But when we apply this tried-and-true method to gravity, we have problems. In theory, a particle of gravity should be called the graviton. Similar to the photon, it is a point particle, and as it moves at the speed of light, it is surrounded by waves of gravity that obey Einstein’s equations. So far, so good. The problem occurs when the graviton bumps into other gravitons and also atoms. The resulting collision creates infinite answers. When one tries to apply the bag of tricks painfully formulated over the last seventy years, we find that they all fail. The greatest minds of the century have tried to solve this problem, but no one has been successful. Clearly, an entirely new approach must be used, since all the easy ideas have been investigated and discarded. We need something truly fresh and original. And that leads us to perhaps the most controversial theory in physics, string theory, which might just be crazy enough to be the theory of everything.

Nowhere in all this elaborate brain circuitry, alas, is there the equivalent of the chip found in a five-dollar calculator. This deficiency can make learning that terrible quartet—“Ambition, Distraction, Uglification, and Derision,” as Lewis Carroll burlesqued them—a chore. It’s not so bad at first. Our number sense endows us with a crude feel for addition, so that, even before schooling, children can find simple recipes for adding numbers. If asked to compute 2 + 4, for example, a child might start with the first number and then count upward by the second number: “two, three is one, four is two, five is three, six is four, six.” But multiplication is another matter. It is an “unnatural practice,” Dehaene is fond of saying, and the reason is that our brains are wired the wrong way. Neither intuition nor counting is of much use, and multiplication facts must be stored in the brain verbally, as strings of words. The list of arithmetical facts to be memorized may be short, but it is fiendishly tricky: the same numbers occur over and over, in different orders, with partial overlaps and irrelevant rhymes. (Bilinguals, it has been found, revert to the language they used in school when doing multiplication.) The human memory, unlike that of a computer, has evolved to be associative, which makes it ill-suited to arithmetic, where bits of knowledge must be kept from interfering with one another: if you’re trying to retrieve the result of multiplying 7 X 6, the reflex activation of 7 + 6 and 7 X 5 can be disastrous. So multiplication is a double terror: not only is it remote from our intuitive sense of number; it has to be internalized in a form that clashes with the evolved organization of our memory. The result is that when adults multiply single-digit numbers they make mistakes ten to fifteen per cent of the time. For the hardest problems, like 7 X 8, the error rate can exceed twenty-five per cent. Our inbuilt ineptness when it comes to more complex mathematical processes has led Dehaene to question why we insist on drilling procedures like long division into our children at all. There is, after all, an alternative: the electronic calculator. “Give a calculator to a five-year-old, and you will teach him how to make friends with numbers instead of despising them,” he has written. By removing the need to spend hundreds of hours memorizing boring procedures, he says, calculators can free children to concentrate on the meaning of these procedures, which is neglected under the educational status quo.

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