Chaos Quotes

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Chaos Quotes
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“Ideas that require people to reorganize their picture of the world provoke hostility.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“You don’t see something until you have the right metaphor to let you perceive it”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Nature forms patterns. Some are orderly in space but disorderly in time, others orderly in time but disorderly in space. Some patterns are fractal, exhibiting structures self-similar in scale. Others give rise to steady states or oscillating ones. Pattern formation has become a branch of physics and of materials science, allowing scientists to model the aggregation of particles into clusters, the fractured spread of electrical discharges, and the growth of crystals in ice and metal alloys. The dynamics seem so basic—shapes changing in space and time—yet only now are the tools available to understand them.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Of all the possible pathways of disorder, nature favors just a few.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Science was constructed against a lot of nonsense,”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Somehow, after all, as the universe ebbs toward its final equilibrium in the featureless heat bath of maximum entropy, it manages to create interesting structures.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“it struck me as an operational way to define free will, in a way that allowed you to reconcile free will with determinism. The system is deterministic, but you can’t say what it’s going to do next.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“But unpredictability was not the reason physicists and mathematicians began taking pendulums seriously again in the sixties and seventies. Unpredictability was only the attention-grabber. Those studying chaotic dynamics discovered that the disorderly behavior of simple systems acted as a creative process. It generated complexity: richly organized patterns, sometimes stable and sometimes unstable, sometimes finite and sometimes infinite, but always with the fascination of living things. That was why scientists played with toys.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“سارت الشمس في سماء لم تر الغيوم البتة. وكنست الريح أرضا ملساء كالزجاج. لم يأت الليل البتة، ولا فسح الخريف الطريق أمام الشتاء”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Billions of years ago there were just blobs of protoplasm; now billions of years later here we are. So information has been created and stored in our structure. In the development of one person’s mind from childhood, information is clearly not just accumulated but also generated—created from connections that were not there before”
― Chaos: Making a New Science
― Chaos: Making a New Science
“The spot is a self-organizing system, created and regulated by the same nonlinear twists that create the unpredictable turmoil around it. It is stable chaos.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Lorenz saw it differently. Yes, you could change the weather. You could make it do something different from what it would otherwise have done. But if you did, then you would never know what it would otherwise have done. It would be like giving an extra shuffle to an already well-shuffled pack of cards. You know it will change your luck, but you don’t know whether for better or worse.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“the brain does not own any direct copies of stuff in the world. There is no library of forms and ideas against which to compare the images of perception. Information is stored in a plastic way, allowing fantastic juxtapositions and leaps of imagination. Some chaos exists out there, and the brain seems to have more flexibility than classical physics in finding the order in it.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“He worked for two months without pause. His functional day was twenty-two hours. He would try to go to sleep in a kind of buzz, and awaken two hours later with his thoughts exactly where he had left them. His diet was strictly coffee. (Even when healthy and at peace, Feigenbaum subsisted exclusively on the reddest possible meat, coffee, and red wine. His friends speculated that he must be getting his vitamins from cigarettes.) In the end, a doctor called it off. He prescribed a modest regimen of Valium and an enforced vacation. But by then Feigenbaum had created a universal theory.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Simple shapes are inhuman. They fail to resonate with the way nature organizes itself or with the way human perception sees the world.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“to call the study of chaos “nonlinear science” was like calling zoology “the study of non elephant animals.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“I know that most men, including those at ease with problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“quoting Tolstoy: “I know that most men, including those at ease with problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“chaos is a science of process rather than state, of becoming rather than being.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“THE MANDELBROT SET IS the most complex object in mathematics, its admirers like to say. An eternity could not be enough time to see it all, its disks studded with prickly thorns, its spirals and filaments curling outward and around, bearing bulbous molecules that hang, infinitely variegated, like grapes on God's personal vine.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“It had been well known for twenty years that the distribution of large and small earthquakes followed a particular mathematical pattern, precisely the same scaling pattern that seemed to govern the distribution of personal incomes in a free-market economy.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Chaos is a creator of information—another apparent paradox.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“The solvable systems are the ones shown in textbooks. They behave. Confronted with a nonlinear system, scientists would have to substitute linear approximations or find some other uncertain backdoor approach. Textbooks showed students only the rare non-linear systems that would give way to such techniques. They did not display sensitive dependence on initial conditions. Nonlinear systems with real chaos were rarely taught and rarely learned. When people stumbled across such things-and people did-all their training argued for dismissing them as aberrations. Only a few were able to remember that the solvable, orderly, linear systems were the aberrations. Only a few, that is, understood how nonlinear nature is in its soul. Enrico Fermi once exclaimed, "It does not say in the Bible that all laws of nature are expressible linearly!" The mathematicians Stanislaw Ulam remarked that to call the study of chaos "nonlinear science" was like calling zoology "the study of nonelephant animals.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“IN THE MIND’S EYE, a fractal is a way of seeing infinity.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“The ceaseless motion and incomprehensible bustle of life. Feigenbaum recalled the words of Gustav Mahler, describing a sensation that he tried to capture in the third movement of his Second Symphony. Like the motions of dancing figures in a brilliantly lit ballroom into which you look from the dark night outside and from such a distance that the music is inaudible…. Life may appear senseless to you.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Engineers had not framework for understanding Mandelbrot's description, but mathematicians did. In effect, Mandelbrot was duplicating an abstract construction known as the Cantor set, after the nineteenth-century mathematician Georg Cantor. To make a Cantor set, you start with the interval of numbers from zero to one, represented by a line segment. Then you remove the middle third. That leaves two segments, and you remove the middle third of each (from one-ninth to two-ninths and from seven-ninths to eight-ninths). That leaves four segments, and you remove the middle third of each- and so on to infinity. What remains? A strange "dust" of points, arranged in clusters, infinitely many yet infinitely sparse. Mandelbrot was thinking of transmission errors as a Cantor set arranged in time.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“mandelbrot changed the way ibm's engineers thought about the cause of noise. bursts of errors had always sent the engineers looking for a man sticking a screwdriver somewhere.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“By any objective measure, the modern business of “psychopharmacology”—the use of drugs to treat everything from anxiety and insomnia to schizophrenia itself—has to be judged a failure. Few patients, if any, are cured. The most violent manifestations of mental illness can be controlled, but with what long-term consequences, no one knows.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“Examined in color through the adjustable window of a computer screen, the Mandelbrot set seems more fractal than fractals, so rich is its complication across scales. A cataloguing of the different images within it or a numerical description of the set's outline would require an infinity of information. But here is a paradox: to send a full description of the set over a transmission line requires just a few dozen characters of code. A terse computer program contains enough information to reproduce the entire set. Those who were first to understand the way the set commingles complexity and simplicity were caught unprepared—even Mandelbrot.”
― Chaos: Making a New Science
― Chaos: Making a New Science
“It’s the best possible time to be alive, when almost everything you thought you knew was wrong. The”
― Chaos: Making a New Science
― Chaos: Making a New Science