Gödel, Escher, Bach

Gödel, Escher, Bach PDF Author: Douglas R. Hofstadter
Publisher: Penguin Group(CA)
ISBN: 9780140289206
Category : Art and music
Languages : en
Pages : 832

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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.

Gödel, Escher, Bach

Gödel, Escher, Bach PDF Author: Douglas R. Hofstadter
Publisher: Penguin Group(CA)
ISBN: 9780140289206
Category : Art and music
Languages : en
Pages : 832

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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.

I Am a Strange Loop

I Am a Strange Loop PDF Author: Douglas R. Hofstadter
Publisher: Basic Books (AZ)
ISBN: 0465030785
Category : Science
Languages : en
Pages : 537

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Book Description
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

Metamagical Themas PDF Author: Douglas R Hofstadter
Publisher: Basic Books
ISBN: 0786723866
Category : Psychology
Languages : en
Pages : 622

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Book Description
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

When Einstein Walked with Gödel PDF Author: Jim Holt
Publisher: Farrar, Straus and Giroux
ISBN: 0374717842
Category : Science
Languages : en
Pages : 384

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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.

On Formally Undecidable Propositions of Principia Mathematica and Related Systems

On Formally Undecidable Propositions of Principia Mathematica and Related Systems PDF Author: Kurt Gödel
Publisher: Courier Corporation
ISBN: 0486158403
Category : Mathematics
Languages : en
Pages : 82

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Book Description
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.

Surfaces and Essences

Surfaces and Essences PDF Author: Douglas Hofstadter
Publisher: Basic Books (AZ)
ISBN: 0465018475
Category : Philosophy
Languages : en
Pages : 594

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Book Description
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.

Incompleteness

Incompleteness PDF Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
ISBN: 0393327604
Category : Biography & Autobiography
Languages : en
Pages : 299

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Book Description
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

The Magician King

The Magician King PDF Author: Lev Grossman
Publisher: Penguin
ISBN: 0452298016
Category : Fiction
Languages : en
Pages : 433

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Book Description
Lev Grossman’s new novel THE BRIGHT SWORD will be on sale July 2024 Return to Fillory in the riveting sequel to the New York Times bestseller and literary phenomenon, The Magicians, now an original series on SYFY, from the author of the #1 bestselling The Magician’s Land. Quentin Coldwater should be happy. He escaped a miserable Brooklyn childhood, matriculated at a secret college for magic, and graduated to discover that Fillory—a fictional utopia—was actually real. But even as a Fillorian king, Quentin finds little peace. His old restlessness returns, and he longs for the thrills a heroic quest can bring. Accompanied by his oldest friend, Julia, Quentin sets off—only to somehow wind up back in the real world and not in Fillory, as they’d hoped. As the pair struggle to find their way back to their lost kingdom, Quentin is forced to rely on Julia’s illicitly learned sorcery as they face a sinister threat in a world very far from the beloved fantasy novels of their youth.

Fluid Concepts and Creative Analogies

Fluid Concepts and Creative Analogies PDF Author: Douglas R. Hofstadter
Publisher:
ISBN: 9780140258356
Category : Analogy
Languages : en
Pages : 518

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Book Description
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.

Analogy-making as Perception

Analogy-making as Perception PDF Author: Melanie Mitchell
Publisher: Bradford Book
ISBN: 9780262515443
Category : Analogy
Languages : en
Pages : 0

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Book Description
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.