Gödel, Escher, Bach

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Publisher : Penguin Group(CA)
ISBN 13 : 9780140289206
Total Pages : 832 pages
Book Rating : 4.2/5 (892 download)

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Book Synopsis Gödel, Escher, Bach by : Douglas R. Hofstadter

Download or read book Gödel, Escher, Bach written by Douglas R. Hofstadter and published by Penguin Group(CA). This book was released on 2000 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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.

I Am a Strange Loop

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Publisher : Basic Books (AZ)
ISBN 13 : 0465030785
Total Pages : 537 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis I Am a Strange Loop by : Douglas R. Hofstadter

Download or read book I Am a Strange Loop written by Douglas R. Hofstadter and published by Basic Books (AZ). This book was released on 2007-03-27 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Argues that the key to understanding ourselves and consciousness is the "strange loop," a special kind of abstract feedback loop that inhabits the brain.

Metamagical Themas

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Publisher : Basic Books
ISBN 13 : 0786723866
Total Pages : 880 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Metamagical Themas by : Douglas R. Hofstadter

Download or read book Metamagical Themas written by Douglas R. Hofstadter and published by Basic Books. This book was released on 2008-08-04 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.

When Einstein Walked with Gödel

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Publisher : Farrar, Straus and Giroux
ISBN 13 : 0374717842
Total Pages : 384 pages
Book Rating : 4.3/5 (747 download)

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Book Synopsis When Einstein Walked with Gödel by : Jim Holt

Download or read book When Einstein Walked with Gödel written by Jim Holt and published by Farrar, Straus and Giroux. This book was released on 2018-05-15 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Surfaces and Essences

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Publisher : Basic Books (AZ)
ISBN 13 : 0465018475
Total Pages : 594 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Surfaces and Essences by : Douglas Hofstadter

Download or read book Surfaces and Essences written by Douglas Hofstadter and published by Basic Books (AZ). This book was released on 2013-04-23 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows how analogy-making pervades human thought at all levels, influencing the choice of words and phrases in speech, providing guidance in unfamiliar situations, and giving rise to great acts of imagination.

Godel's Proof

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Publisher : Routledge
ISBN 13 : 1134953992
Total Pages : 109 pages
Book Rating : 4.1/5 (349 download)

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Book Synopsis Godel's Proof by : Ernest Nagel

Download or read book Godel's Proof written by Ernest Nagel and published by Routledge. This book was released on 2012-11-12 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

On Formally Undecidable Propositions of Principia Mathematica and Related Systems

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Publisher : Courier Corporation
ISBN 13 : 0486158403
Total Pages : 82 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis On Formally Undecidable Propositions of Principia Mathematica and Related Systems by : Kurt Gödel

Download or read book On Formally Undecidable Propositions of Principia Mathematica and Related Systems written by Kurt Gödel and published by Courier Corporation. This book was released on 2012-05-24 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.

Fluid Concepts and Creative Analogies

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Publisher :
ISBN 13 : 9780140258356
Total Pages : 518 pages
Book Rating : 4.2/5 (583 download)

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Book Synopsis Fluid Concepts and Creative Analogies by : Douglas R. Hofstadter

Download or read book Fluid Concepts and Creative Analogies written by Douglas R. Hofstadter and published by . This book was released on 1998 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hosftadter and his colleagues at The Fluid Analogies Research Group have developed computer models that help describe and explain human discovery, creation and analogical thought. The key issue of perception is investigated through the exploration of playful anagrams, number puzzles, word play and fanciful alphabetical styles, and the result is a survey of cognitive processes. This text presents the results.

Incompleteness

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Publisher : W. W. Norton & Company
ISBN 13 : 0393327604
Total Pages : 299 pages
Book Rating : 4.3/5 (933 download)

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Book Synopsis Incompleteness by : Rebecca Goldstein

Download or read book Incompleteness written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2006-01-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

Godel

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Publisher :
ISBN 13 : 0786747609
Total Pages : 222 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Godel by : John L. Casti

Download or read book Godel written by John L. Casti and published by . This book was released on 2009-04-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.

Analogy-making as Perception

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Publisher : Bradford Book
ISBN 13 : 9780262515443
Total Pages : 0 pages
Book Rating : 4.5/5 (154 download)

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Book Synopsis Analogy-making as Perception by : Melanie Mitchell

Download or read book Analogy-making as Perception written by Melanie Mitchell and published by Bradford Book. This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The psychologist William James observed that "a native talent for perceiving analogies is... the leading fact in genius of every order." The centrality and the ubiquity of analogy in creative thought have been noted again and again by scientists, artists, and writers, and understanding and modeling analogical thought have emerged as two of the most important challenges for cognitive science.Analogy-Making as Perception is based on the premise that analogy-making is fundamentally a high-level perceptual process in which the interaction of perception and concepts gives rise to "conceptual slippages" which allow analogies to be made. It describes Copycat - a computer model of analogymaking, developed by the author with Douglas Hofstadter, that models the complex, subconscious interaction between perception and concepts that underlies the creation of analogies.In Copycat, both concepts and high-level perception are emergent phenomena, arising from large numbers of low-level, parallel, non-deterministic activities. In the spectrum of cognitive modeling approaches, Copycat occupies a unique intermediate position between symbolic systems and connectionist systems a position that is at present the most useful one for understanding the fluidity of concepts and high-level perception.On one level the work described here is about analogy-making, but on another level it is about cognition in general. It explores such issues as the nature of concepts and perception and the emergence of highly flexible concepts from a lower-level "subcognitive" substrate.Melanie Mitchell, Assistant Professor in the Department of Electrical Engineering and Computer Science at the University of Michigan, is a Fellow of the Michigan Society of Fellows. She is also Director of the Adaptive Computation Program at the Santa Fe Institute.

The 100 Best Nonfiction Books of All Time

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Publisher :
ISBN 13 : 9781903385838
Total Pages : 0 pages
Book Rating : 4.3/5 (858 download)

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Book Synopsis The 100 Best Nonfiction Books of All Time by : Robert McCrum

Download or read book The 100 Best Nonfiction Books of All Time written by Robert McCrum and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning in 1611 with the King James Bible and ending in 2014 with Elizabeth Kolbert's 'The Sixth Extinction', this extraordinary voyage through the written treasures of our culture examines universally-acclaimed classics such as Pepys' 'Diaries', Charles Darwin's 'The Origin of Species', Stephen Hawking's 'A Brief History of Time' and a whole host of additional works --

How Mathematicians Think

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Publisher : Princeton University Press
ISBN 13 : 0691145997
Total Pages : 424 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis How Mathematicians Think by : William Byers

Download or read book How Mathematicians Think written by William Byers and published by Princeton University Press. This book was released on 2010-05-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

The Death of Philosophy

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Publisher : Columbia University Press
ISBN 13 : 023151963X
Total Pages : 359 pages
Book Rating : 4.2/5 (315 download)

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Book Synopsis The Death of Philosophy by : Isabelle Thomas-Fogiel

Download or read book The Death of Philosophy written by Isabelle Thomas-Fogiel and published by Columbia University Press. This book was released on 2011-05-24 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophers debate the death of philosophy as much as they debate the death of God. Kant claimed responsibility for both philosophy's beginning and end, while Heidegger argued it concluded with Nietzsche. In the twentieth century, figures as diverse as John Austin and Richard Rorty have proclaimed philosophy's end, with some even calling for the advent of "postphilosophy." In an effort to make sense of these conflicting positions which often say as much about the philosopher as his subject Isabelle Thomas-Fogiel undertakes the first systematic treatment of "the end of philosophy," while also recasting the history of western thought itself. Thomas-Fogiel begins with postphilosophical claims such as scientism, which she reveals to be self-refuting, for they subsume philosophy into the branches of the natural sciences. She discovers similar issues in Rorty's skepticism and strands of continental thought. Revisiting the work of late-nineteenth and early-twentieth-century philosophers, when the split between analytical and continental philosophy began, Thomas-Fogiel finds both traditions followed the same path the road of reference which ultimately led to self-contradiction. This phenomenon, whether valorized or condemned, has been understood as the death of philosophy. Tracing this pattern from Quine to Rorty, from Heidegger to Levinas and Habermas, Thomas-Fogiel reveals the self-contradiction at the core of their claims while also carving an alternative path through self-reference. Trained under the French philosopher Bernard Bourgeois, she remakes philosophy in exciting new ways for the twenty-first century.

The Six Secrets of Intelligence

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Publisher : Icon Books
ISBN 13 : 1785785079
Total Pages : 289 pages
Book Rating : 4.7/5 (857 download)

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Book Synopsis The Six Secrets of Intelligence by : Craig Adams

Download or read book The Six Secrets of Intelligence written by Craig Adams and published by Icon Books. This book was released on 2019-09-05 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some people have something to say in any conversation and can spot the hidden angles of completely unrelated problems; but how do they do it? So many books, apps, courses, and schools compete for our attention that the problem isn't a lack of opportunity to sharpen our minds, it's having to choose between so many options. And yet, more than two thousand years ago, the greatest thinker of Ancient Greece, Aristotle, had already discovered the blueprint of the human mind. Despite the fact that the latest cognitive science shows his blueprint to be exactly what sharpens our reasoning, subtlety of thought, and ability to think in different ways and for ourselves, we have meanwhile replaced it with a simplistic and seductive view of intelligence, education and the mind. Condensing that blueprint to six 'secrets', Craig Adams uncovers the underlying patterns of every discussion and debate we've ever had, and shows us how to be both harder to manipulate and more skilful in any conversation or debate – no matter the topic.

Le Ton Beau De Marot

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Publisher : Basic Books
ISBN 13 : 9780465086450
Total Pages : 0 pages
Book Rating : 4.0/5 (864 download)

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Book Synopsis Le Ton Beau De Marot by : Douglas R. Hofstadter

Download or read book Le Ton Beau De Marot written by Douglas R. Hofstadter and published by Basic Books. This book was released on 1998-05-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lost in an art—the art of translation. Thus, in an elegant anagram (translation = lost in an art), Pulitzer Prize-winning author and pioneering cognitive scientist Douglas Hofstadter hints at what led him to pen a deep personal homage to the witty sixteenth-century French poet Clément Marot.”Le ton beau de Marot” literally means ”The sweet tone of Marot”, but to a French ear it suggests ”Le tombeau de Marot”—that is, ”The tomb of Marot”. That double entendre foreshadows the linguistic exuberance of this book, which was sparked a decade ago when Hofstadter, under the spell of an exquisite French miniature by Marot, got hooked on the challenge of recreating both its sweet message and its tight rhymes in English—jumping through two tough hoops at once.In the next few years, he not only did many of his own translations of Marot's poem, but also enlisted friends, students, colleagues, family, noted poets, and translators—even three state-of-the-art translation programs!—to try their hand at this subtle challenge.The rich harvest is represented here by 88 wildly diverse variations on Marot's little theme. Yet this barely scratches the surface of Le Ton beau de Marot, for small groups of these poems alternate with chapters that run all over the map of language and thought.Not merely a set of translations of one poem, Le Ton beau de Marot is an autobiographical essay, a love letter to the French language, a series of musings on life, loss, and death, a sweet bouquet of stirring poetry—but most of all, it celebrates the limitless creativity fired by a passion for the music of words.Dozens of literary themes and creations are woven into the picture, including Pushkin's Eugene Onegin, Dante's Inferno, Salinger's Catcher in the Rye, Villon's Ballades, Nabokov's essays, Georges Perec's La Disparition, Vikram Seth's Golden Gate, Horace's odes, and more.Rife with stunning form-content interplay, crammed with creative linguistic experiments yet always crystal-clear, this book is meant not only for lovers of literature, but also for people who wish to be brought into contact with current ideas about how creativity works, and who wish to see how today's computational models of language and thought stack up next to the human mind.Le Ton beau de Marot is a sparkling, personal, and poetic exploration aimed at both the literary and the scientific world, and is sure to provoke great excitement and heated controversy among poets and translators, critics and writers, and those involved in the study of creativity and its elusive wellsprings.

The Emperor's New Mind

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Publisher : Oxford Paperbacks
ISBN 13 : 0192861980
Total Pages : 634 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis The Emperor's New Mind by : Roger Penrose

Download or read book The Emperor's New Mind written by Roger Penrose and published by Oxford Paperbacks. This book was released on 1999-03-04 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.