GODEL ESCHER BACH AN ETERNAL GOLDEN BRAID

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G Del Escher Bach

Author : Douglas R. Hofstadter
ISBN : OCLC:933815492
Genre :
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G Del Escher Bach

Author : Douglas R. Hofstadter
ISBN : OCLC:933815492
Genre :
File Size : 48.10 MB
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G Del Escher Bach

Author : Douglas R. Hofstadter
ISBN : 0140289208
Genre : Art and music
File Size : 59.10 MB
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'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.
Category: Art and music

I Am A Strange Loop

Author : Douglas R. Hofstadter
ISBN : 9780465030781
Genre : Philosophy
File Size : 50.82 MB
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An original, endlessly thought-provoking, and controversial look at the nature of consciousness and identity argues that the key to understanding selves and consciousness is the "strange loop," a special kind of abstract feedback loop inhabiting our brains.
Category: Philosophy

Metamagical Themas

Author : Douglas Hofstadter
ISBN : 9780786723867
Genre : Psychology
File Size : 60.37 MB
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Hofstadter’s collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.
Category: Psychology

Surfaces And Essences

Author : Douglas Hofstadter
ISBN : 9780465018475
Genre : Philosophy
File Size : 71.41 MB
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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.
Category: Philosophy

Godel S Proof

Author : Ernest Nagel
ISBN : 9780814758014
Genre : Mathematics
File Size : 87.41 MB
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In 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences—perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times." However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject. Marking the 50th anniversary of the original publication of Gödel's Proof, New York University Press is proud to publish this special anniversary edition of one of its bestselling and most frequently translated books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.
Category: Mathematics

The Unimaginable Mathematics Of Borges Library Of Babel

Author : William Goldbloom Bloch
ISBN : 0199715165
Genre : Mathematics
File Size : 52.56 MB
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"The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G?del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.
Category: Mathematics

The Mind S I

Author : Douglas R. Hofstadter
ISBN : 0553345842
Genre : Philosophy
File Size : 46.54 MB
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Brilliant, shattering, mind-jolting, "The Mind's I" is a searching, probing nook--a cosmic journey of the mind--that goes deeply into the problem of self and self-consciousness as anything written in our time. From verbalizing chimpanzees to scientific speculations involving machines with souls, from the mesmerizing, maze-like fiction of Borges to the tantalizing, dreamlike fiction of Lem and Princess Ineffable, her circuits glowing read and gold, "The Mind's I " opens the mind to the Black Box of fantasy, to the windfalls of reflection, to new dimensions of exciting possibilities.
Category: Philosophy

The Annotated Turing

Author : Charles Petzold
ISBN : 9780470229057
Genre : Computers
File Size : 57.43 MB
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Provides an expansion of Turing's original paper, a brief look at his life, and information on the Turing machine and computability topics.
Category: Computers