James Gleick Famous Quotes
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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.
Intuition was not just visual but also auditory and kinesthetic. Those who watched Feynman in moments of intense concentration came away with a strong, even disturbing sense of the physicality of the process, as though his brain did not stop with the grey matter but extended through every muscle in his body.
Pattern, as he saw it, equals redundancy. In ordinary language, redundancy serves as an aid to understanding. In cryptanalysis, that same redundancy is the Achilles' heel.
The pits and tangles are more than blemishes distorting the classic shapes of Euclidian geometry. They are often the keys to the essence of a thing
The telegraphic style banishes all the forms of politeness,
For the modern physicist, reality is the whole thing, past and future joined in a single history. The sensation of now is just that, a sensation, and different for everyone. Instead of one master clock, we have clocks in multitudes.
Scientifically, information is a choice - a yes-or-no choice. In a broader sense, information is everything that informs our world - writing, painting, music, money.
Ideas that require people to reorganize their picture of the world provoke hostility.
The Difference Engine stands - for a replica works today, in the Science Museum in London - as a milestone of what could be achieved in precision engineering. In the composition of its alloys, the exactness of its dimensions, the interchangeability of its parts, nothing surpassed this segment of an unfinished machine. Still, it was a curio. And it was as far as Babbage could go.
He is omnipresent not only virtually but also substantially. ... In him all things are contained and move, but he does not act on them nor they on him. ... He is always and everywhere. ... He is all eye, all ear, all brain, all arm, all force of sensing, of understanding, and of acting.5
He was going to kill Russell's dream of a perfect logical system.
When information is cheap, attention becomes expensive.
Mathematicians had to accept the fact that systems with infinitely many degrees of freedom-untrammeled nature expressing itself in a turbulent waterfall or an unpredictable brain-required a phase space of infinite dimensions. But who could handle such a thing? It was a hydra, merciless and uncontrollable, and it was Landau's image for turbulence: infinite modes, infinite degrees of freedom, infinite dimensions.
Astronomers had already found the fingerprints of chaos in violence on the sun's surface, gaps in the asteroid belt, and the distribution of galaxies. Levin and her colleagues have found them in the exit from the big bang and in black holes. They predict that light trapped by a black hole can enter unstable chaotic orbits and be reemited-making the black hole visible, if only briefly. Yes, chaos can light up black holes. "There are rational numbers to mine, fractal sets, and all kinds of truly beautiful consequences," she says. "So on the one hand, people are horrified, on the other they're mesmerized." She does chaos in curved space-time. Einstein would be proud.
Names are not the things they name. Classes are not coextensive with subclasses.
The early sense of self-similarity as an organizing principle came from the limitations on the human experience of scale.
Google is where we go for answers. People used to go elsewhere or, more likely, stagger along not knowing.
Nanosecond precision matters for worldwide communications systems. It matters for navigation by Global Positioning System satellite signals: an error of a billionth of a second means an error of just about a foot, the distance light travels in that time.
For the purposes of science, information had to mean something special. Three centuries earlier, the new discipline of physics could not proceed until Isaac Newton appropriated words that were ancient and vague - force, mass, motion, and even time - and gave them new meanings. Newton made these terms into quantities, suitable for use in mathematical formulas. Until then, motion (for example) had been just as soft and inclusive a term as information. For Aristotelians, motion covered a far-flung family of phenomena: a peach ripening, a stone falling, a child growing, a body decaying. That was too rich. Most varieties of motion had to be tossed out before Newton's laws could apply and the Scientific Revolution could succeed. In the nineteenth century, energy began to undergo a similar transformation: natural philosophers adapted a word meaning vigor or intensity. They mathematicized it, giving energy its fundamental place in the physicists' view of nature.
It was the same with information. A rite of purification became necessary.
And then, when it was made simple, distilled, counted in bits, information was found to be everywhere.
Gregor Mendel's years of research with green and yellow peas showed that such a thing must exist. Colors and other traits vary depending on many factors, such as temperature and soil content, but something is preserved whole; it does not blend or diffuse; it must be quantized. Mendel had discovered the gene, though he did not name it. For him it was more an algebraic convenience than a physical entity.
Vengeful conquerors burn books as if the enemy's souls reside there, too.
It may be that all the laws of energy, and all the properties of matter, and all the chemistry of all the colloids are as powerless to explain the body as they are impotent to comprehend the soul. For my part, I think not. D'Arcy Thompson
Riches have never made people great but love does it every day - we
IN THE MIND'S EYE, a fractal is a way of seeing infinity.
The word 'code' turns out to be a really important word for my book, 'The Information.' The genetic code is just one example. We talk now about coders, coding. Computer guys are coders. The stuff they write is code.
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
When the genetic code was solved, in the early 1960s, it turned out to be full of redundancy. Much of the mapping from nucleotides to amino acids seemed arbitrary - not as neatly patterned as any of Gamow's proposals. Some amino acids correspond to just one codon, others to two, four, or six. Particles called ribosomes ratchet along the RNA strand and translate it, three bases at a time. Some codons are redundant; some actually serve as start signals and stop signals. The redundancy serves exactly the purpose that an information theorist would expect. It provides tolerance for errors. Noise affects biological messages like any other. Errors in DNA - misprints - are mutations.
Believers in chaos-and they sometimes call themselves believers, or converts, or evangelists-speculate about determinism and free will, about evolution, about the nature of conscious intelligence. They feel that they are turning back a trend in science toward reductionism, the analysis of systems in terms of their constituent parts: quarks, chromosomes, or neurons. They believe that they are looking for the whole.
During a sabbatical he learned enough biology to make a small but genuine contribution to geneticists' understanding of mutations in DNA.
A "file" was originally - in sixteenth-century England - a wire on which slips and bills and notes and letters could be strung for preservation and reference. Then came file folders, file drawers, and file cabinets; then the electronic namesakes of all these; and the inevitable irony. Once a piece of information is filed, it is statistically unlikely ever to be seen again by human eyes.
If we want to live freely and privately in the interconnected world of the twenty-first century - and surely we do - perhaps above all we need a revival of the small-town civility of the nineteenth century. Manners, not devices: sometimes it's just better not to ask, and better not to look.
Information is closely associated with uncertainty. Uncertainty, in turn, can be measured by counting the number of possible messages. If only one message is possible, there is no uncertainty and thus no information.
So in 1910 a Danish botanist, Wilhelm Johannsen, self-consciously invented the word gene.
First law: The energy of the universe is constant. Second law: The entropy of the universe always increases.
The cells of an organism are nodes in a richly interwoven communications network, transmitting and receiving, coding and decoding. Evolution itself embodies an ongoing exchange of information between organism and environment.
In cyberspace, the Wikipedians never stop gathering: It's a continuous round-the-clock rolling workfest.
Another way to speak of the anxiety is in terms of the gap between information and knowledge. A barrage of data so often fails to tell us what we need to know. Knowledge, in turn, does not guarantee enlightenment or wisdom. (Eliot said that, too: "Where is the wisdom we have lost in knowledge? / Where is the knowledge we have lost in information?") It is an ancient observation, but one that seemed to bear restating when information became plentiful - particularly in a world where all bits are created equal and information is divorced from meaning. The humanist and philosopher of technology Lewis Mumford, for example, restated it in 1970: "Unfortunately, 'information retrieving,' however swift, is no substitute for discovering by direct personal inspection knowledge whose very existence one had possibly never been aware of, and following it at one's own pace through the further ramification of relevant literature." He begged for a return to "moral self-discipline.
In the name of speed, Morse and Vail had realized that they could save strokes by reserving the shorter sequences of dots and dashes for the most common letters. But which letters would be used most often? Little was known about the alphabet's statistics. In search of data on the letters' relative frequencies, Vail was inspired to visit the local newspaper office in Morristown, New Jersey, and look over the type cases. He found a stock of twelve thousand E's, nine thousand T's, and only two hundred Z's. He and Morse rearranged the alphabet accordingly. They had originally used dash-dash-dot to represent T, the second most common letter; now they promoted T to a single dash, thus saving telegraph operators uncountable billions of key taps in the world to come. Long afterward, information theorists calculated that they had come within 15 percent of an optimal arrangement for telegraphing English text.
It's fair to say that Wikipedia has spent far more time considering the philosophical ramifications of categorization than Aristotle and Kant ever did.
We have met the Devil of Information Overload and his impish underlings, the computer virus, the busy signal, the dead link, and the PowerPoint presentation.
No one has even a definitive spelling for Cawdrey's name (Cowdrey, Cawdry). But then, no one agreed on the spelling of most names: they were spoken, seldom written. In fact, few had any concept of "spelling" - the idea that each word, when written, should take a particular predetermined form of letters. The word cony (rabbit) appeared variously as conny, conye, conie, connie, coni, cuny, cunny, and cunnie in a single 1591 pamphlet.
Feynman resented the polished myths of most scientific history, submerging the false steps and halting uncertainties under a surface of orderly intellectual progress, but he created a myth of his own.
As for memes, the word 'meme' is a cliche, which is to say it's already a meme. We all hear it all the time, and maybe we even have started to use it in ordinary speech. The man who invented it was Richard Dawkins, who was, not coincidentally, an evolutionary biologist. And he invented it as an analog for the gene.
Cloudy, cloudy is the stuff of stones, wrote the poet Richard Wilbur, and even in the atomic era it was hard to see how the physicist's swarming clouds of particles could give rise to the hard-edged world of everyday sight and touch.
The time capsule is a characteristically twentieth-century invention: a tragicomic time machine. It lacks an engine, goes nowhere, sits and waits. It sends our cultural bits and bobs traveling into the future at snail's pace. At our pace, that is. They travel through time in parallel with the rest of us, at our standard velocity of one second per second, one day per day... Builders of time capsules are projecting something forward into the future, but it's mainly their own imaginations. Like people who buy lottery tickets for the momentary dreams of riches, they get to dream of a time to come when, though long dead, they will be the cynosure of all eyes... Clear the airwaves: Dr. Thornwell Jacobs, Oglethorpe University, AD 1936, has something to say.
Thought interferes with the probability of events, and, in the long run therefore, with entropy. - David L. Watson
Logic might be imagined to exist independent of writing - syllogisms can be spoken as well as written - but it did not. Speech is too fleeting to allow for analysis. Logic descended from the written word, in Greece as well as India and China, where it developed independently. Logic turns the act of abstraction into a tool for determining what is true and what is false: truth can be discovered in words alone, apart from concrete experience. Logic takes its form in chains: sequences whose members connect one to another. Conclusions follow from premises. These require a degree of constancy. They have no power unless people can examine and evaluate them. In contrast, an oral narrative proceeds by accretion, the words passing by in a line of parade past the viewing stand, briefly present and then gone, interacting with one another via memory and association.
This was the first time anyone suggested the genome was an information store measurable in bits. Shannon's guess was conservative, by at least four orders of magnitude.
The library is the last free space for the gathering and sharing of knowledge: "Our attention cannot be bought and sold in a library." As a tradition barely a century and a half old in the United States, it gives physical form to the principle that public access to knowledge is the foundation of democracy ["What Libraries Can (Still) Do," The New York Review Daily, October 26, 2015].
A.N. Kolmogorov and Yasha Sinai had worked out some illuminating mathematics for the way a system's "entropy per unite time" applies to the geometric pictures of surfaces stretching and folding in phase space. The conceptual core of the technique was a matter of drawing some arbitrarily small box around some set of initial conditions, as one might draw a small square on the side of a balloon, then calculating the effect of various expressions or twists on the box. It might stretch in one direction, for example, while remaining narrow in the other. The change in area corresponded to an introduction of uncertainty about the system's past, a gain or loss of information.
Monod proposed an analogy: Just as the biosphere stands above the world of nonliving matter, so an "abstract kingdom" rises above the biosphere. The denizens of this kingdom? Ideas. Ideas have retained some of the properties of organisms. Like them, they tend to perpetuate their structure and to breed; they too can fuse, recombine, segregate their content; indeed they too can evolve, and in this evolution selection must surely play an important role. Ideas have "spreading power," he noted - "infectivity, as it were" - and some more than others. An example of an infectious idea might be a religious ideology that gains sway over a large group of people. The American neurophysiologist Roger Sperry had put forward a similar notion several years earlier, arguing that ideas are "just as real" as the neurons they inhabit. Ideas have power, he said.
They could see from the start that Wilson's idea sat somewhere near the border between possible and hopeless - but on which side of the border?
Self-similarity is symmetry across scale. It implies recursion, pattern inside of pattern.
I'll cheerfully confess to spending a lot of time playing completely disgusting computer games that have no redeeming social value.
The leap from maps to fluid flow seemed so great that even those most responsible sometimes felt it was like a dream. How nature could tie such complexity to such simplicity was far from obvious. "You have to regard it as a kind of miracle, not like the usual connection between theory and experiment," Jerry Gollub said. Within a few years, the miracle was being repeated again and again in a vast bestiary of laboratory systems: bigger fluid cells with water and mercury, electronic oscillators, lasers, even chemical reactions. Theorists adapted Feigenbaum's techiniques and found other mathematical routes to chaos, cousins of period-doubling: such patterns as intermittency and quasiperiodicity. These, too, proved universal in theory and experiment.
He was going to show that the paradoxes were not excrescences; they were fundamental.
What English speakers call "computer science" Europeans have known as informatique, informatica, and Informatik
If you could take one ride in a time machine, which way would you go? The future or the past? Sally forth or turn back?...Do you prefer the costumed pageant of history or the techno-marvels to come? It seems there are two kinds of people. Both camps have their optimists as well as their pessimists. Disease is a worry. Time traveling while black or female poses special hazards. Then again, some people see ways to make money at lotteries, stock markets, and racetracks. Some just want to relive past loves. Many back travelers are driven by regret - mistakes made, opportunities lost.
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.
To continue down the path of comprehensiveness, Wikipedia will need to sustain the astonishing mass fervor of its birth years. Will that be possible? No one knows.
In spacetime, all events are baked together: a four-dimensional continuum. Past and future are no more privileged than left and right or up and down.
The ability to write and read books is one of the things that transformed us as a species.
For Wiener, entropy was a measure of disorder; for Shannon, of uncertainty. Fundamentally, as they were realizing, these were the same.
Wikipedians believe (and I do, too) that bits, being abstract, will outlast paper.
The resulting units may be called binary digits, or more briefly, bits.
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.
Nowadays we voyage through time so easily and so well, in our dreams and in our art. Time travel feels like an ancient tradition, rooted in old mythologies, old as gods and dragons. It isn't. Though the ancients imagined immortality and rebirth and lands of the dead time machines were beyond their ken. Time travel is a fantasy of the modern era. When Wells in his lamp-lit room imagined a time machine, he also invented a new mode of thought.
Philosophy set knowledge adrift; physics anchored knowledge to reality.
Turing exclaiming once, "No, I'm not interested in developing a powerful brain. All I'm after is just a mundane brain, something like the president of the American Telephone & Telegraph Company.
But was chance necessary? Hubbard, too, thought about the parallels between the Mandelbrot set and the biological encoding of information, but he bristled at any suggestion that such processes might depend on probability. "There is no randomness in the Mandelbrot set," Hubbard said. "There is no randomness in anything that I do. Neither do I think that the possibility of randomness has any direct relevance to biology. In biology randomness is death, chaos is death. Everything is highly structured. When you clone plants, the order in which the branches come out is exactly the same. The Mandelbrot set obeys an extraordinarily precise scheme leaving nothing to chance whatsoever. I strongly suspect that the day somebody actually figures out how the brain is organized they will discover to their amazement that there is a coding scheme for building the brain which is of extraordinary precision. The idea of randomness in biology is just reflex.
Every time a new technology comes along, we feel we're about to break through to a place where we will not be able to recover. The advent of broadcast radio confused people. It delighted people, of course, but it also changed the world.
Douady and Hubbard used a brilliant chain of new mathematics to prove that every floating molecule does indeed hang on a filigree that binds it to all the rest, a delicate web springing from tiny outcroppings on the main set, a "devil's polymer," in Mandelbrot's phrase. The mathematicians proved that any segment-no matter where, and no matter how small-would, when blown up by the computer microscope, reveal new molecules, each resembling the main set and yet not quite the same. Every new molecule would be surrounded by its own spirals and flame-like projections, and those, inevitably, would reveal molecules tinier still, always similar, never identical, fulfilling some mandate of infinite variety, a miracle of miniaturization in which every new detail was sure to be a universe of its own, diverse and entire.
We say that time passes, time goes by, and time flows. Those are metaphors. We also think of time as a medium in which we exist.
Cyberspace, especially, draws us into the instant.
Information is crucial to our biological substance - our genetic code is information. But before 1950, it was not obvious that inheritance had anything to do with code. And it was only after the invention of the telegraph that we understood that our nerves carry messages, just like wires.
The writing system at the opposite extreme took the longest to emerge: the alphabet, one symbol for one minimal sound. The alphabet is the most reductive, the most subversive of all scripts. In all the languages of earth there is only one word for alphabet (alfabet, alfabeto, ). The alphabet was invented only once.
He believed in the primacy of doubt, not as a blemish upon our ability to know, but as the essence of knowing.
Logic turns the act of abstraction into a tool for determining what is true and what is false: truth can be discovered in words alone, apart from concrete experience.
The Internet is like a town that leaves its streets unmarked on the principle that people who don't already know don't belong
Evolution itself embodies an ongoing exchange of information between organism and environment ... The gene has its cultural analog, too: the meme. In cultural evolution, a meme is a replicator and propagator - an idea, a fashion, a chain letter, or a conspiracy theory. On a bad day, a meme is a virus.
With words we begin to leave traces behind us like breadcrumbs: memories in symbols for others to follow. Ants deploy their pheromones, trails of chemical information; Theseus unwound Ariadne's thread. Now people leave paper trails.
There is no getting into the future except by waiting.
Mandelbrot saw a seemingly smooth boundary resolve itself into a chain of spirals like the tails of sea horses. The irrational fertilized the rational.
The quotation-business is booming. No subdivision of the culture seems too narrow to have a quotation book of its own ... It would be an understatement to say that these books lean on one another. To compare them is to stroll through a glorious jungle of incestuous mutual plagiarism.
The fractal structure nature has devised works so efficiently that, in most tissue, no cell is ever more than three or four cells away from a blood vessel. Yet the vessels and blood take up little space, no more than about five percent of the body.
Grand - "A Mathematical Theory of Communication" - and
Incompleteness was real. It meant that mathematics could never be proved free of self-contradiction.
The alternative to doubt is authority, against which science had fought for centuries.
As a technology, the book is like a hammer. That is to say, it is perfect: a tool ideally suited to its task. Hammers can be tweaked and varied but will never go obsolete. Even when builders pound nails by the thousand with pneumatic nail guns, every household needs a hammer. Likewise, the bicycle is alive and well. It was invented in a world without automobiles, and for speed and range it was quickly surpassed by motorcycles and all kinds of powered scooters. But there is nothing quaint about bicycles. They outsell cars.
Everything we care about lies somewhere in the middle, where pattern and randomness interlace.
I was born not knowing and have only had a little time to change that here and there. - Richard Feynman
Our memories, too, blend the immediate past with the anticipation of the soon to be, and a living amalgam of these - not some infinitesimal pointlike instant forever fleeing out of reach - is our now.
The history of life is written in terms of negative entropy.
It is significant that one says book lover and music lover and art lover but not record lover or CD lover or, conversely, text lover.
"Half genius and half buffoon," Freeman Dyson ... wrote ... [Richard] Feynman struck him as uproariously American-unbuttoned and burning with physical energy. It took him a while to realize how obsessively his new friend was tunneling into the very bedrock of modern science.
Tiny differences in input could quickly become overwhelming differences in output ... In weather, for example, this translates into what is only half-jokingly known as the Butter- fly Effect - the notion that a butterfly stirring the air today in Peking can transform storm systems next month in New York.
So for mackerel ("a well-known sea-fish, Scomber scombrus, much used for food") the second edition in 1989 listed nineteen alternative spellings. The unearthing of sources never ends, though, so the third edition revised entry in 2002 listed no fewer than thirty: maccarel, mackaral, mackarel, mackarell, mackerell, mackeril, mackreel, mackrel, mackrell, mackril, macquerel, macquerell, macrel, macrell, macrelle, macril, macrill, makarell, makcaral, makerel, makerell, makerelle, makral, makrall, makreill, makrel, makrell, makyrelle, maquerel, and maycril
Other people, too, worried about this new gap between the speeds of travel and messaging. An important London banker told Babbage he disapproved: "It will enable our clerks to plunder us, and then be off to Liverpool on their way to America at the rate of twenty miles an hour." Babbage could only express the hope that science might yet find a remedy for the problem it had created.
But unlike most physicists, Marcus eventually learned Lorenz's lesson, that a deterministic system can produce much more than just periodic behavior. He knew to look for wild disorder, and he knew that islands of structure could appear within the disorder. So he brought to the problem of the Great Red Spot an understanding that a complex system can give rise to turbulence and coherence at the same time. He could work within an emerging discipline that was creating its own tradition of using the computer as an experimental tool. And he was willing to think of himself as a new kind of scientist: not primarily an astronomer, not a fluid dynamicist, not an applied mathematician, but a specialist in chaos.
As the Earth continues to slow, leap seconds will grow more common. Eventually we will need one every year, and then even more. Scientists could have avoided these awkward skips by choosing instead to adjust the duration of the second itself. Who would notice? That is what they did, in fact, until 1955.