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G del Escher Bach

G  del  Escher  Bach Book
Author : Douglas R. Hofstadter
Publisher : Penguin Group(CA)
Release : 2000
ISBN : 9780140289206
Language : En, Es, Fr & De

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Book Description :

'What is a self and how can a self come out of inanimate matter?' This is the riddle that drove Douglas Hofstadter to write this extraordinary book. In order to impart his original and personal view on the core mystery of human existence - our intangible sensation of 'I'-ness - Hofstadter defines the playful yet seemingly paradoxical notion of 'strange loop', and explicates this idea using analogies from many disciplines.

Godel Escher Bach

Godel  Escher  Bach Book
Author : Douglas R. Hofstadter
Publisher : Unknown
Release : 1979
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

A young scientist and mathematician explores the mystery and complexity of human thought processes from an interdisciplinary point of view

Surfaces and Essences

Surfaces and Essences Book
Author : Douglas R Hofstadter,Emmanuel Sander
Publisher : Basic Books
Release : 2013-04-23
ISBN : 0465021581
Language : En, Es, Fr & De

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Book Description :

Analogy is the core of all thinking. This is the simple but unorthodox premise that Pulitzer Prize -- winning author Douglas Hofstadter and French psychologist Emmanuel Sander defend in their new work. Hofstadter has been grappling with the mysteries of human thought for over thirty years. Now, with his trademark wit and special talent for making complex ideas vivid, he has partnered with Sander to put forth a highly novel perspective on cognition. We are constantly faced with a swirling and intermingling multitude of ill-defined situations. Our brain's job is to try to make sense of this unpredictable, swarming chaos of stimuli. How does it do so? The ceaseless hail of input triggers analogies galore, helping us to pinpoint the essence of what is going on. Often this means the spontaneous evocation of words, sometimes idioms, sometimes the triggering of nameless, long-buried memories. Why did two-year-old Camille proudly exclaim, "I undressed the banana!"? Why do people who hear a story often blurt out, "Exactly the same thing happened to me!" when it was a completely different event? How do we recognize an aggressive driver from a split-second glance in our rearview mirror? What in a friend's remark triggers the offhand reply, "That's just sour grapes"? What did Albert Einstein see that made him suspect that light consists of particles when a century of research had driven the final nail in the coffin of that long-dead idea? The answer to all these questions, of course, is analogy-making -- the meat and potatoes, the heart and soul, the fuel and fire, the gist and the crux, the lifeblood and the wellsprings of thought. Analogy-making, far from happening at rare intervals, occurs at all moments, defining thinking from top to toe, from the tiniest and most fleeting thoughts to the most creative scientific insights. Like Gö, Escher, Bach before it, Surfaces and Essences will profoundly enrich our understanding of our own minds. By plunging the reader into an extraordinary variety of colorful situations involving language, thought, and memory, by revealing bit by bit the constantly churning cognitive mechanisms normally completely hidden from view, and by discovering in them one central, invariant core -- the incessant, unconscious quest for strong analogical links to past experiences -- this book puts forth a radical and deeply surprising new vision of the act of thinking.

A World Without Time

A World Without Time Book
Author : Palle Yourgrau
Publisher : Basic Books
Release : 2009-03-04
ISBN : 078673700X
Language : En, Es, Fr & De

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Book Description :

In 1942, the logician Kurt Godel and Albert Einstein became close friends; they walked to and from their offices every day, exchanging ideas about science, philosophy, politics, and the lost world of German science. By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

Incompleteness The Proof and Paradox of Kurt G del Great Discoveries

Incompleteness  The Proof and Paradox of Kurt G  del  Great Discoveries  Book
Author : Rebecca Goldstein
Publisher : W. W. Norton & Company
Release : 2006-02-17
ISBN : 0393327604
Language : En, Es, Fr & De

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Book Description :

A portrait of the eminent twentieth-century mathematician discusses his theorem of incompleteness, relationships with such contemporaries as Albert Einstein, and untimely death as a result of mental instability and self-starvation.

Masters of Deception

Masters of Deception Book
Author : Al Seckel
Publisher : Sterling Publishing Company, Inc.
Release : 2004
ISBN : 9781402705779
Language : En, Es, Fr & De

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Book Description :

Celebrates the use of optical illusion in art, presenting the importance and uniqueness of such work, discussing such artists as Salvador Dalâi, M.C. Sesher, and Istvâan Orosz.

The Fourth Dimension

The Fourth Dimension Book
Author : Rudy von Bitter Rucker,Rudy Rucker
Publisher : Houghton Mifflin Harcourt
Release : 1985
ISBN : 9780395393888
Language : En, Es, Fr & De

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Book Description :

A detailed description of what the fourth dimension would be like.

G del Escher Bach

G  del  Escher  Bach Book
Author : Douglas R. Hofstadter
Publisher : Tusquets Editores, S.A.
Release : 2007
ISBN : 9788483830246
Language : En, Es, Fr & De

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Book Description :

¿Puede un sistema comprenderse a sí mismo ? Si esta pregunta se refiere a la mente humana, entonces nos encontramos ante una cuestión clave del pensamiento científico. Y de la filosofía. Y del arte. Investigar este misterio es una aventura que recorre la matemática, la física, la biología, la psicología y muy especialmente, el lenguaje. Douglas R. Hofstadter, joven y ya célebre científico, nos abre la puerta del enigma con la belleza y la alegría creadora de su estilo. Sorprendentes paralelismos ocultos entre los grabados de Escher y la música de Bach nos remiten a las paradojas clásicas de los antiguos griegos y a un teorema de la lógica matemática moderna que ha estremecido el pensamiento del siglo XX : el de Kurt Gödel. Todo lenguaje, todo sistema formal, todo programa de ordenador, todo proceso de pensamiento, llegan, tarde o temprano, a la situación límite de la autorreferencia : de querer expresarse sobre sí mismos. Surge entonces la emoción del infinito, como dos espejos enfrentados y obligados a reflejarse mutua e indefinidamente. Gödel, Escher, Bach : un Eterno y Grácil Bucle, es una obra de arte escrita por un sabio. Versa sobre los misterios del pensamiento e incluye, ella misma, sus propios misterios. Por ello su traducción ha supuesto también una larga, azarosa y laboriosa aventura que el propio autor ha vivido y que relata en un prólogo especialmente escrito para esta versión española.

The Penguin Dictionary of Curious and Interesting Numbers

The Penguin Dictionary of Curious and Interesting Numbers Book
Author : David Wells
Publisher : Penguin UK
Release : 1997-09-04
ISBN : 0141929405
Language : En, Es, Fr & De

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Book Description :

Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.

The Emperor s New Mind

The Emperor s New Mind Book
Author : Roger Penrose
Publisher : Oxford Paperbacks
Release : 1999-03-04
ISBN : 9780192861986
Language : En, Es, Fr & De

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Book Description :

Winner of the Wolf Prize for his contribution to our understanding of the universe, Penrose takes on the question of whether artificial intelligence will ever approach the intricacy of the human mind. 144 illustrations.

The Road to Reality

The Road to Reality Book
Author : Roger Penrose
Publisher : Vintage
Release : 2021-06-09
ISBN : 0593315308
Language : En, Es, Fr & De

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Book Description :

**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin

Paradoxical Life

Paradoxical Life Book
Author : Andreas Wagner
Publisher : Yale University Press
Release : 2009-09-01
ISBN : 0300156375
Language : En, Es, Fr & De

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Book Description :

What can a fingernail tell us about the mysteries of creation? In one sense, a nail is merely a hunk of mute matter, yet in another, it's an information superhighway quite literally at our fingertips. Every moment, streams of molecular signals direct our cells to move, flatten, swell, shrink, divide, or die. Andreas Wagner's ambitious new book explores this hidden web of unimaginably complex interactions in every living being. In the process, he unveils a host of paradoxes underpinning our understanding of modern biology, contradictions he considers gatekeepers at the frontiers of knowledge. Though we tend to think of concepts in such mutually exclusive pairs as mind-matter, self-other, and nature-nurture, Wagner argues that these opposing ideas are not actually separate. Indeed, they are as inextricably connected as the two sides of a coin. Through a tour of modern biological marvels, Wagner illustrates how this paradoxical tension has a profound effect on the way we define the world around us. Paradoxical Life is thus not only a unique account of modern biology. It ultimately serves a radical--and optimistic--outlook for humans and the world we help create.

A Biography of the Pixel

A Biography of the Pixel Book
Author : Alvy Ray Smith
Publisher : MIT Press
Release : 2021-08-03
ISBN : 0262365219
Language : En, Es, Fr & De

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Book Description :

The pixel as the organizing principle of all pictures, from cave paintings to Toy Story. The Great Digital Convergence of all media types into one universal digital medium occurred, with little fanfare, at the recent turn of the millennium. The bit became the universal medium, and the pixel--a particular packaging of bits--conquered the world. Henceforward, nearly every picture in the world would be composed of pixels--cell phone pictures, app interfaces, Mars Rover transmissions, book illustrations, videogames. In A Biography of the Pixel, Pixar cofounder Alvy Ray Smith argues that the pixel is the organizing principle of most modern media, and he presents a few simple but profound ideas that unify the dazzling varieties of digital image making. Smith's story of the pixel's development begins with Fourier waves, proceeds through Turing machines, and ends with the first digital movies from Pixar, DreamWorks, and Blue Sky. Today, almost all the pictures we encounter are digital--mediated by the pixel and irretrievably separated from their media; museums and kindergartens are two of the last outposts of the analog. Smith explains, engagingly and accessibly, how pictures composed of invisible stuff become visible--that is, how digital pixels convert to analog display elements. Taking the special case of digital movies to represent all of Digital Light (his term for pictures constructed of pixels), and drawing on his decades of work in the field, Smith approaches his subject from multiple angles--art, technology, entertainment, business, and history. A Biography of the Pixel is essential reading for anyone who has watched a video on a cell phone, played a videogame, or seen a movie.

Evolutionary Psychopathology

Evolutionary Psychopathology Book
Author : Marco Del Giudice
Publisher : Oxford University Press
Release : 2018-07-06
ISBN : 0190670142
Language : En, Es, Fr & De

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Book Description :

Mental disorders arise from neural and psychological mechanisms that have been built and shaped by natural selection across our evolutionary history. Looking at psychopathology through the lens of evolution is the only way to understand the deeper nature of mental disorders and turn a mass of behavioral, genetic, and neurobiological findings into a coherent, theoretically grounded discipline. The rise of evolutionary psychopathology is part of an exciting scientific movement in psychology and medicine -- a movement that is fundamentally transforming the way we think about health and disease. Evolutionary Psychopathology takes steps toward a unified approach to psychopathology, using the concepts of life history theory -- a biological account of how individual differences in development, physiology and behavior arise from tradeoffs in survival and reproduction -- to build an integrative framework for mental disorders. This book reviews existing evolutionary models of specific conditions and connects them in a broader perspective, with the goal of explaining the large-scale patterns of risk and comorbidity that characterize psychopathology. Using the life history framework allows for a seamless integration of mental disorders with normative individual differences in personality and cognition, and offers new conceptual tools for the analysis of developmental, genetic, and neurobiological data. The concepts presented in Evolutionary Psychopathology are used to derive a new taxonomy of mental disorders, the Fast-Slow-Defense (FSD) model. The FSD model is the first classification system explicitly based on evolutionary concepts, a biologically grounded alternative to transdiagnostic models. The book reviews a wide range of common mental disorders, discusses their classification in the FSD model, and identifies functional subtypes within existing diagnostic categories.

Godel s Proof

Godel s Proof Book
Author : Ernest Nagel,James R. Newman
Publisher : Routledge
Release : 2012-11-12
ISBN : 1134953992
Language : En, Es, Fr & De

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Book Description :

The first book to present a readable explanation of Godel's theorem to both scholars and non-specialists, this is a gripping combination of science and accessibility, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.

When Einstein Walked with G del

When Einstein Walked with G  del Book
Author : Jim Holt
Publisher : Farrar, Straus and Giroux
Release : 2018-05-15
ISBN : 0374717842
Language : En, Es, Fr & De

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Book Description :

From Jim Holt, the New York Times bestselling author of Why Does the World Exist?, comes an entertaining and accessible guide to the most profound scientific and mathematical ideas of recent centuries in When Einstein Walked with Gödel: Excursions to the Edge of Thought. Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction—and whether the universe truly has a future.

Seven Experiments That Could Change the World

Seven Experiments That Could Change the World Book
Author : Rupert Sheldrake
Publisher : Simon and Schuster
Release : 2002-07-01
ISBN : 1620550067
Language : En, Es, Fr & De

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Book Description :

Examines the realities of unexplained natural phenomenon and provides explanations that push the boundaries of science. • Looks at animal telepathy and the ability of pigeons to home. • Proves the point that "big questions don't need big science". • Noted scientist Rupert Sheldrake is a former research fellow of the Royal Society. • New Edition with an Update on Results. How does your pet "know" when you are coming home? How do pigeons "home"? Can people really feel a "phantom" amputated arm? These questions and more form the basis of Sheldrake's look at the world of contemporary science as he puts some of the most cherished assumptions of established science to the test. What Sheldrake discovers is that certain scientific beliefs are so widely taken for granted that they are no longer regarded as theories but are seen as scientific common sense. In the true spirit of science, Sheldrake examines seven of these beliefs. Refusing to let intellectual dogmatism influence his search for the truth, Sheldrake presents simple experiments that allow the curious and the skeptical to join in his journey of discovery. His experiments look at how scientific research is often biased against unexpected patterns that emerge and how a researcher's expectations can influence the results. He also examines the taboo of taking pets seriously and explores the question of human extrasensory perception. Perhaps most important, he questions the notion that science must be expensive in order to achieve important results, showing that inexpensive methods can indeed shake the very foundations of science as we know it. In this compelling and intelligent book, Sheldrake offers no preconceived wisdom or easy answers--just an open invitation to explore the unknown, create new science, and perhaps, even change the world.

Journey to the Edge of Reason The Life of Kurt G del

Journey to the Edge of Reason  The Life of Kurt G  del Book
Author : Stephen Budiansky
Publisher : W. W. Norton & Company
Release : 2021-05-11
ISBN : 1324005459
Language : En, Es, Fr & De

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Book Description :

The first major biography of the logician and mathematician whose Incompleteness Theorems helped launch a modern scientific revolution. Nearly a hundred years after its publication, Kurt Gödel’s famous proof that every mathematical system must contain propositions that are true—yet never provable—continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life. Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings—including a never-before-transcribed shorthand diary of his most intimate thoughts—to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of Princeton’s Institute for Advanced Study, where Gödel and Einstein both worked. Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos.

Uncle Petros and Goldbach s Conjecture

Uncle Petros and Goldbach s Conjecture Book
Author : Apostolos Doxiadis
Publisher : Faber & Faber
Release : 2012-11-15
ISBN : 057129569X
Language : En, Es, Fr & De

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Book Description :

Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.

Building Knowledge Based Systems for Natural Resource Management

Building Knowledge Based Systems for Natural Resource Management Book
Author : Daniel L. Schmoldt,H. Michael Rauscher
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461311551
Language : En, Es, Fr & De

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Book Description :

If one were forced to use a single key word to describe the decade of the 1980's, a very prominent one would be "technology. " Leading the forefront of tech nology advancement were breakthroughs in electronics. Devices that were uncommon or unknown in 1980 became commonplace, and almost indispens able, by 1989. This trend has continued into the 1990's and it does not seem to be abating in any way. Microwave ovens, video recorders, telephone answer ing machines, compact disc players, computers, and a host of smaller or less sophisticated devices now appear in most households. The development of small and inexpensive computers, i. e. , personal computers, has placed computing resources within reach of many more people. In addition, many traditional, and largely mechanical devices, have been enhanced by electronics. For example, specialized microprocessors are combined with arrays of electronic sensors to control and monitor sophisticated engineering components in most new auto mobiles. In this and many other ways, we are touched by the new electronics in almost every aspect of our daily lives. Initially, personal computers were little more than toys. They contained only a small fraction of the computing power of their immediate ancestors, the mini computers and mainframe computers. However, rapid improvements in integ rated circuit design and chip manufacture produced regular reductions in size and cost of computer components. During the same time, processor speed and sophistication increased.