Jim Holt Quotes

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Having just enough life to enjoy being dead.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
Suppose you turn your attention inward in search of this 'I'. You may encounter nothing more than an ever changing stream of consciousness, a flow of thoughts and feelings in which there is no real self to be discovered.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
In 1921, a New York rabbi asked Einstein if he believed in God. "I believe in Spinoza's God," he answered, "who reveals himself in the orderly harmony of what exists, not in a God who concerns himself with the fates and actions of human beings.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
I really don’t like to formulate what I believe because, like a quantum phenomenon, it varies from day to day, and anyway there’s a sort of bad luck attached to expressing yourself too clearly.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
The effort to understand the universe is one of the very few things that lifts human life above the level of farce, and gives it some of the grace of tragedy.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
The total absence of humor from the Bible,” Alfred North Whitehead once observed, “is one of the most singular things in all literature.
Jim Holt (Stop Me If You've Heard This: A History and Philosophy of Jokes)
Science is a differential equation. Religion is a boundary condition.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
In both jokes and dreams, Freud observed, meanings are condensed and displaced, things are represented indirectly or by their opposites, fallacious reasoning trumps logic. Jokes often arise involuntarily, like dreams, and tend to be swiftly forgotten. From these similarities Freud inferred that jokes and dreams share a common origin in the unconscious. Both are essentially means of outwitting our inner "censor.
Jim Holt (Stop Me If You've Heard This: A History and Philosophy of Jokes)
As Grünbaum is fond of saying, even though the universe is finite in age, it has always existed, if by “always” you mean at all instants of time.
Jim Holt (Why Does the World Exist?: One Man's Quest for the Big Answer)
Instead of being an inert object, nothingness would appear to be a dynamic thing, a sort of annihilating force.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
(It is interesting that the words “cosmos” and “cosmetic” have the same root, the Greek word for “adornment” or “arrangement.”)
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
Consistency is the virtue of small minds, and Spinoza had a great mind—he was inconsistent all over the place.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
It has even been conjectured that the human mind plays a critical role in the self-causing mechanism. Although we seem to be a negligible part of the cosmos, it is our consciousness that gives reality to it as a whole. On this picture, sometimes called the “participatory universe,” reality is a self-sustaining causal loop: the world creates us, and we in turn create the world.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
messages from the unseen” that the great Alan Turing left behind at his death: Science is a differential equation. Religion is a boundary condition.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
Time is a great teacher, but unfortunately it kills all its pupils.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Dreizehn Mann saßen auf einem Sarg, Ho! Ho! Ho! - und ein Fass voller Rum. Sie soffen drei Tage, der Schnaps war stark, Ho! Ho! Ho! - und ein Fass voller Rum. Sie liebten das Meer und den Schnaps und das Gold. Ho! Ho! Ho! - und ein Fass voller Rum. Bis einst alle dreizehn der Teufel holt, Ho! Ho! Ho! - und ein Fass voller Rum.
Michael Ende (Jim Knopf und Lukas der Lokomotivführer)
I would earnestly warn you against trying to find out the reason for and explanation of everything. . . . To try and find out the reason for everything is very dangerous and leads to nothing but disappointment and dissatisfaction, unsettling your mind and in the end making you miserable. —QUEEN
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
To begin with, if existence arose out of a need for goodness, then it must be essentially mental. In other words, existence must ultimately consist of mind, of consciousness.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
The important thing is sincerity. If you can fake that, you’ve got it made.”)
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Dehaene marveled at the fact that mathematics is simultaneously a product of the human mind and a powerful instrument for discovering the laws by which the human mind operates.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Bertrand Russell recounts in his autobiography that as an unhappy adolescent he frequently contemplated suicide. But he did not go through with it, he tells us, “because I wished to know more of mathematics.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Gödel’s taste ran in another direction: his favorite movie was Walt Disney’s Snow White and the Seven Dwarfs, and when his wife put a pink flamingo in their front yard, he pronounced it furchtbar herzig—“awfully charming.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
If Einstein had upended our everyday notions about the physical world with his theory of relativity, the younger man, Kurt Gödel, had had a similarly subversive effect on our understanding of the abstract world of mathematics.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
I find it hard to swallow the notion that the world is improved by extra suffering. And that goes for a lot of Christian doctrine. Jones commits a crime, so you expiate the evil by nailing Smith to a cross and it's all better. - John Leslie
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
It is present in moments of rejoicing, when all the things around us are transfigured and seem to be there for the first time. . . . The question is upon us in boredom, when we are equally removed from despair and joy, and everything about us seems so hopelessly commonplace that we no longer care whether anything is or is not.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
Our mild anxiety about the precariousness of being may give way to confidence in a world that turns out to be coherent, luminous, and intellectually secure. Or it might yield to cosmic terror when we realize that the whole show is a mere ontological soap bubble that could pop into nothingness at any moment, without the slightest warning. And our present sense of the potential reach of human thought may give way to a newfound humility at its limits, or to a newfound wonder at its leaps and bounds—or a bit of both.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
is information from the inside; physics is information from the outside.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
Does mathematics carry its own ontological clout?
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
It was in the early Renaissance that the art of the joke was reborn, and the midwife was a man called Poggio.
Jim Holt (Stop Me If You've Heard This: A History and Philosophy of Jokes)
In his version of the theory, information becomes conscious when certain “workspace” neurons broadcast it to many areas of the brain at once, making it simultaneously available for, say, language, memory, perceptual categorization, action planning, and so on. In other words, consciousness is “cerebral celebrity,” as the philosopher Daniel Dennett has described it, or “fame in the brain.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
For, as the German diplomat and philosopher Max Scheler wrote, “He who has not, as it were, looked into the abyss of the absolute Nothing will completely overlook the eminently positive content of the realization that there is something rather than nothing.” Let us, then, dip briefly into that abyss, with full assurance that we will not come up empty-handed. For, as the old saying goes: Nothing seek, nothing find.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
As the physicist Nima Arkani-Hamed has put it, “The earth is not the center of the solar system, the sun is not the center of our galaxy, our galaxy is just one of billions in a universe that has no center, and now our entire three-dimensional universe would be just a thin membrane in the full space of dimensions. If we consider slices across the extra dimensions, our universe would occupy a single infinitesimal point in each slice, surrounded by a void.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
If by 'God' you have something definite in mind - a being that is loving, or jealous, or whatever - then you're faced with the question of why God's that way and not another way. And if you don't have anything very definite in mind when you talk about 'God' being behind the existence of the universe, then why even use the word? So I think religion doesn't help. It's part of the human tragedy: we're faced with a mystery we can't understand - Steven Weinberg
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
Grothendieck transformed modern mathematics. However, much of the credit for this transformation should go to a lesser-known forerunner of his, Emmy Noether. It was Noether, born in Bavaria in 1882, who largely created the abstract approach that inspired category theory.1 Yet as a woman in a male academic world, she was barred from holding a professorship in Göttingen, and the classicists and historians on the faculty even tried to block her from giving unpaid lectures—leading David Hilbert, the dean of German mathematics, to comment, “I see no reason why her sex should be an impediment to her appointment. After all, we are a university, not a bathhouse.” Noether, who was Jewish, fled to the United States when the Nazis took power, teaching at Bryn Mawr until her death from a sudden infection in 1935.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
To become a type 3 civilization, one powerful enough to engineer a stable wormhole leading to a new universe, we would have to gain control of our entire galaxy. That means colonizing something like a billion habitable planets. But if this is what the future is going to look like, then almost all the intelligent observers who will ever exist will live in one of these billion colonies. So, how come we find ourselves sitting on the home planet at the very beginning of the process? The odds against being in such an unusual situation—the very earliest people, the equivalent of Adam and Eve—are a billion to one.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
But Mandelbrot continued to feel oppressed by France’s purist mathematical establishment. “I saw no compatibility between a university position in France and my still-burning wild ambition,” he writes. So, spurred by the return to power in 1958 of Charles de Gaulle (for whom Mandelbrot seems to have had a special loathing), he accepted the offer of a summer job at IBM in Yorktown Heights, north of New York City. There he found his scientific home. As a large and somewhat bureaucratic corporation, IBM would hardly seem a suitable playground for a self-styled maverick. The late 1950s, though, were the beginning of a golden age of pure research at IBM. “We can easily afford a few great scientists doing their own thing,” the director of research told Mandelbrot on his arrival. Best of all, he could use IBM’s computers to make geometric pictures. Programming back then was a laborious business that involved transporting punch cards from one facility to another in the backs of station wagons.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
In his 1996 book, Against the Gods: The Remarkable Story of Risk, Peter L. Bernstein wrote, “Regression to the mean motivates almost every variety of risk-taking and forecasting. It is at the root of homilies like ‘What goes up must come down,’ ‘Pride goeth before a fall,’ and ‘From shirtsleeves to shirtsleeves in three generations.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Suppose there were nothing. Then there would be no laws; for laws, after all, are something. If there were no laws, then everything would be permitted. If everything were permitted, then nothing would be forbidden. So if there were nothing, nothing would be forbidden. Thus nothing is self-forbidding. Therefore, there must be something. QED.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
Physicists talk about finding the “theory of everything”; well, set theory is so sweeping in its generality that it might appear to be “the theory of theories of everything.” It certainly appeared that way to the members of Bourbaki. Yet a few decades after their program got under way, the extraordinary Alexander Grothendieck came into their midst and transcended it. In doing so, he created a new style of pure mathematics that proved as fruitful as it was dizzyingly abstract. Long before his death in 2014 at the age of eighty-six in a remote hamlet in the Pyrenees, Grothendieck had come to be regarded as the greatest mathematician of the last half century. As Harris observes, he likely qualifies as the “most romantic” too: “His life story begs for fictional treatment.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Since then, several other conjectures have been resolved with the aid of computers (notably, in 1988, the nonexistence of a projective plane of order 10). Meanwhile, mathematicians have tidied up the Haken-Appel argument so that the computer part is much shorter, and some still hope that a traditional, elegant, and illuminating proof of the four-color theorem will someday be found. It was the desire for illumination, after all, that motivated so many to work on the problem, even to devote their lives to it, during its long history. (One mathematician had his bride color maps on their honeymoon.) Even if the four-color theorem is itself mathematically otiose, a lot of useful mathematics got created in failed attempts to prove it, and it has certainly made grist for philosophers in the last few decades. As for its having wider repercussions, I’m not so sure. When I looked at the map of the United States in the back of a huge dictionary that I once won in a spelling bee for New York journalists, I noticed with mild surprise that it was colored with precisely four colors. Sadly, though, the states of Arkansas and Louisiana, which share a border, were both blue.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
The river of time may have its rapids and its calmer stretches, but one thing would seem to be certain: it carries all of us, willy-nilly, in its flow. Irresistibly, irreversibly, we are being borne toward our deaths at the stark rate of one second per second. As the past slips out of existence behind us, the future, once unknown and mysterious, assumes its banal reality before us as it yields to the ever-hurrying now.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Today, Arabic numerals are in use pretty much around the world, while the words with which we name numbers naturally differ from language to language. And, as Dehaene and others have noted, these differences are far from trivial. English is cumbersome. There are special words for the numbers from 11 to 19 and for the decades from 20 to 90. This makes counting a challenge for English-speaking children, who are prone to such errors as “twenty-eight, twenty-nine, twenty-ten, twenty-eleven.” French is just as bad, with vestigial base-twenty monstrosities, like quatre-vingt-dix-neuf (four twenty ten nine) for 99. Chinese, by contrast, is simplicity itself; its number syntax perfectly mirrors the base-ten form of Arabic numerals, with a minimum of terms. Consequently, the average Chinese four-year-old can count up to forty, whereas American children of the same age struggle to get to fifteen. And the advantages extend to adults. Because Chinese number words are so brief—they take less than a quarter of a second to say, on average, compared with a third of a second for English—the average Chinese speaker has a memory span of nine digits, versus seven digits for English speakers. (Speakers of the marvelously efficient Cantonese dialect, common in Hong Kong, can juggle ten digits in active memory.)
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
From a philosophical perspective, Linde’s little story underscores the danger of assuming that the creative force behind our universe, if there is one, must correspond to the traditional image of God: omnipotent, omniscient, infinitely benevolent, and so on. Even if the cause of our universe is an intelligent being, it could well be a painfully incompetent and fallible one, the kind that might flub the cosmogenic task by producing a thoroughly mediocre creation.
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
Façamos um pequeno cálculo. Como integrante da espécie humana, tenho uma identidade genética específica. Existem cerca de trina mil genes ativos no genoma humano. Cada um tem pelo menos duas variantes, ou "alelos", de modo que o número de identidades geneticamente distintas que o genoma pode codificar é de pelo menos dois elevado à trigésima milésima potência - o que equivale mais ou menos ao número um seguido de dez mil zeros. É o número de pessoas possíveis permitido pela estrutura do nosso DNA. E quantas dessas pessoas possíveis chegaram realmente a existir? Estima-se que cerca de quarenta bilhões de seres humanos nasceram desde o surgimento de nossa espécie. Vamos arredondar para cem bilhões, só para ficar numa estimativa moderada. Isso significa que a fração de seres humanos geneticamente possíveis que nasceram é menor que 0,00000... 000001 (acrescente cerca de 9.979 zeros a mais no intervalo). A esmagador a maioria desses seres humanos geneticamente possíveis é de fantasmas que não nasceram. Foi essa a fantástica loteria que eu - e você - tivemos de ganhar para aparecer no cenário". Jim Holt - Por Que o Mundo Existe?
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
In fairness, the bar for Leavitt had been set pretty high. In 1983, a mathematician named Andrew Hodges published Alan Turing: The Enigma, which is one of the finest scientific biographies ever written and has remained an essential resource for all subsequent accounts of Turing’s life. In 1987, Hugh Whitemore’s superb play about Turing, Breaking the Code, opened on Broadway, with Derek Jacobi in the starring role. Both of these works not only captured the pathos of Turing’s life; they also gave a lucid account of his technical achievement. Whitemore’s play miraculously compressed the decision problem and the Enigma decoding
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
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.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
In some cases, the reaction to Cantor’s theory broke along national lines. French mathematicians, on the whole, were wary of its metaphysical aura. Henri Poincaré (who rivaled Germany’s Hilbert as the greatest mathematician of the era) observed that higher infinities “have a whiff of form without matter, which is repugnant to the French spirit.” Russian mathematicians, by contrast, enthusiastically embraced the newly revealed hierarchy of infinities. Why the contrary French and Russian reactions? Some observers have chalked it up to French rationalism versus Russian mysticism. That is the explanation proffered, for example, by Loren Graham, an American historian of science retired from MIT, and Jean-Michel Kantor, a mathematician at the Institut de Mathématiques de Jussieu in Paris, in their book Naming Infinity (2009). And it was the Russian mystics who better served the cause of mathematical progress—so argue Graham and Kantor. The intellectual milieu of the French mathematicians, they observe, was dominated by Descartes, for whom clarity and distinctness were warrants of truth, and by Auguste Comte, who insisted that science be purged of metaphysical speculation. Cantor’s vision of a never-ending hierarchy of infinities seemed to offend against both. The Russians, by contrast, warmed to the spiritual nimbus of Cantor’s theory. In fact, the founding figures of the most influential school of twentieth-century Russian mathematics were adepts of a heretical religious sect called the Name Worshippers. Members of the sect believed that by repetitively chanting God’s name, they could achieve fusion with the divine. Name Worshipping, traceable to fourth-century Christian hermits in the deserts of Palestine, was revived in the modern era by a Russian monk called Ilarion. In 1907, Ilarion published On the Mountains of the Caucasus, a book that described the ecstatic experiences he induced in himself while chanting the names of Christ and God over and over again until his breathing and heartbeat were in tune with the words.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
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.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
It was in postwar Paris that Mandelbrot began this quest in earnest. Uncle Szolem urged him to attend the École Normale Supérieure, France’s most rarefied institution of higher learning, where Mandelbrot had earned entry at the age of twenty (one of only twenty Frenchmen to do so). But the aridly abstract style of mathematics practiced there was uncongenial to him. At the time, the École Normale—dite normale, prétendue supérieure, says the wag—was dominated in mathematics by a semisecret cabal called Bourbaki. (The name Bourbaki was jocularly taken from a hapless nineteenth-century French general who once tried to shoot himself in the head but missed.) Its leader was André Weil, one of the supreme mathematicians of the twentieth century (and the brother of Simone Weil). The aim of Bourbaki was to purify mathematics, to rebuild it on perfectly logical foundations untainted by physical or geometric intuition. Mandelbrot found the Bourbaki cult, and Weil in particular, “positively repellent.” The Bourbakistes seemed to cut off mathematics from natural science, to make it into a sort of logical theology. They regarded geometry, so integral to Mandelbrot’s Keplerian dream, as a dead branch of mathematics, fit for children at best.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
If “bullshit,” as opposed to “bull,” is a distinctively modern linguistic innovation, that could have something to do with other distinctively modern things, like advertising, public relations, political propaganda, and schools of education. “One of the most salient features of our culture is that there is so much bullshit,” Harry Frankfurt, a distinguished moral philosopher who is professor emeritus at Princeton, says. The ubiquity of bullshit, he notes, is something that we have come to take for granted. Most of us are pretty confident of our ability to detect it, so we may not regard it as being all that harmful. We tend to take a more benign view of someone caught bullshitting than of someone caught lying. (“Never tell a lie when you can bullshit your way through,” a father counsels his son in an Eric Ambler novel.) All of this worries Frankfurt. We cannot really know the effect that bullshit has on us, he thinks, until we have a clearer understanding of what it is. That is why we need a theory of bullshit. Frankfurt’s own effort along these lines was contained in a paper that he presented more than three decades ago at a faculty seminar at Yale. Later, that paper appeared in a journal and then in a collection of Frankfurt’s writings; all the while, photocopies of it passed from fan to fan. In 2005, it was published as On Bullshit, a tiny book of sixty-seven spaciously printed pages that went on to become an improbable breakout success, spending half a year on the New York Times bestseller list.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
In 1906, the year after Einstein’s annus mirabilis, Kurt Gödel was born in the city of Brno (now in the Czech Republic). Kurt was both an inquisitive child—his parents and brother gave him the nickname der Herr Warum, “Mr. Why?”—and a nervous one. At the age of five, he seems to have suffered a mild anxiety neurosis. At eight, he had a terrifying bout of rheumatic fever, which left him with the lifelong conviction that his heart had been fatally damaged. Gödel entered the University of Vienna in 1924. He had intended to study physics, but he was soon seduced by the beauties of mathematics, and especially by the notion that abstractions like numbers and circles had a perfect, timeless existence independent of the human mind. This doctrine, which is called Platonism, because it descends from Plato’s theory of ideas, has always been popular among mathematicians. In the philosophical world of 1920s Vienna, however, it was considered distinctly old-fashioned. Among the many intellectual movements that flourished in the city’s rich café culture, one of the most prominent was the Vienna Circle, a group of thinkers united in their belief that philosophy must be cleansed of metaphysics and made over in the image of science. Under the influence of Ludwig Wittgenstein, their reluctant guru, the members of the Vienna Circle regarded mathematics as a game played with symbols, a more intricate version of chess. What made a proposition like “2 + 2 = 4” true, they held, was not that it correctly described some abstract world of numbers but that it could be derived in a logical system according to certain rules.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
VICTORIA, in a letter to her granddaughter Princess Victoria of Hesse, 22 August 1883
Jim Holt (Why Does the World Exist?: An Existential Detective Story)
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.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
And, perplexingly, recent research by the psychologist Peter Derks shows that what makes people laugh hardest is not the cleverness of the joke but the speed with which they get the punch line.
Jim Holt (Stop Me If You've Heard This: A History and Philosophy of Jokes)
Kenzie agreed to meet him at the park in the morning. Early. Linc sat in his car, waiting for her and watching the sun come up. She pulled in less than five minutes later. They ran some laps, and she told him what Jim had said. Then she ran ahead. He lengthened his strides to catch up, concentrating on the running so he could think. She outpaced him several more times. Feeling frisky. She seemed to have bounced back from her near breakdown at the climbing gym over that ugly card. He caught up again and flung himself across an imaginary ribbon. “And the winner is!” “Cheater,” she yelled, laughing. He loped off the track toward the exercise structures and she followed. Linc grabbed the pull-up bar and swung himself up, doing several. “Jim’s not crazy, Kenzie. Five.” The pull-ups hurt his arms, but it felt good. He’d been spending too much time sitting in front of laptops. Kenzie leaned against the metal frame of the structure, looking around absently at the small park. “I guess he was just thinking out loud. I never saw him get that steamed, though.” He let himself down with excruciating slowness and went up again. “Six. You can understand why.” “Yeah, I do.” “Seven.” He went for some fast ones. “Eight. Nine. Ten.” He sucked in a breath, tightening his abs, and let it out with a whoosh. “Going to the media is an idea. I considered it myself. But--eleven--it won’t work for us. Not at this point.” “Don’t forget about Randy Holt. She didn’t want to go public.” “Twelve.” His biceps bulged as he stayed up, swinging a little in midair. He thought he detected a flicker of interest in Kenzie’s eyes. About time. He was killing himself. She swung her arms to warm up. “Are you done showing off?” “Are you impressed yet?” Small smile. Okay, she had a lot on her mind. He wouldn’t push it. Then--Linc almost lost his grip when she walked over and put a hand on his chest. “Don’t forget to breathe,” she said mischievously. Linc gasped. He wasn’t sure whether to drop to the ground and take her in his arms, or lose the challenge. “Thirteen. Fourteen. And…fifteen.” He dropped to the ground with bent knees, more winded than he expected. “Your turn.” Kenzie reached high to grab the bar before he could grab her and did several without breaking a sweat, her ankles crossed. Perfect form. In more ways than one.
Janet Dailey (Honor (Bannon Brothers, #2))
Bertrand Russell penned a gushing tribute to the glories of mathematics. “Rightly viewed,” Russell wrote, mathematics “possesses not only truth, but supreme beauty
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
She goes on to recount how she “once found the philosopher Richard Rorty standing in a bit of a daze in Davidson’s food market. He told me in hushed tones that he’d just seen Gödel in the frozen food aisle.
Jim Holt (When Einstein Walked with Gödel: Excursions to the Edge of Thought)
Got orders from headquarters. They makin' coffins fuh all de white folks. 'Tain't nothin' but cheap pine, but dat's better'n nothin'. Don't dump no white folks in de hole jus' so." "Whut tuh do 'bout de colored folks? Got boxes fuh dem too? “Nope. They cain't find enough of 'em tuh go 'round. Jus' sprinkle plenty quick-lime over 'em and cover 'em up." "Shucks! Nobody can't tell nothin' 'bout some uh dese bodies, de shape dey's in. Can't tell whether dey's white or black." The guards had a long conference over that. After a while they came back and told the men, "Look at they hair, when you cain't tell no other way. And don't lemme ketch none uh y'all dumpin' white folks, and don't be wastin' no boxes on colored. They's too hard tuh git holt of right now." "They's mighty particular how dese dead folks goes tuh judgment," Tea Cake observed to the man working next to him. "Look lak dey think God don't know nothin' 'bout de Jim Crow law.
Zora Neale Hurston (Their Eyes Were Watching God)