G del Escher Bach

G  del  Escher  Bach
Available:
Author: Douglas R. Hofstadter
Pages: 832
ISBN: 0140289208
Release: 2000
Editor: Penguin Group(CA)

DESCRIPTION OF THE BOOK:

'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
Available:
Author: Douglas R. Hofstadter
Pages: 777
ISBN: UCAL:B4281320
Release: 1979
Editor: Unknown

DESCRIPTION OF THE BOOK:

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

G del Escher Bach an eternal golden braid a metaphorical fugue on minds and machines in the spirit of Lewis Carroll

G  del  Escher  Bach   an eternal golden braid    a metaphorical fugue on minds and machines in the spirit of Lewis Carroll
Available:
Author: Douglas R. Hofstadter
Pages: 777
ISBN: OCLC:466100517
Release: 1981
Editor: Unknown

DESCRIPTION OF THE BOOK:

G del Escher Bach

G  del  Escher  Bach
Available:
Author: Douglas R. Hofstadter
Pages: 800
ISBN: UVA:X004007440
Release: 1999
Editor: Vintage

DESCRIPTION OF THE BOOK:

Explores the mystery and complexity of human thought processes from an interdisciplinary point of view

Godel Escher Bach

Godel  Escher  Bach
Available:
Author: Douglas R. Hofstadter
Pages: 824
ISBN: 0465026567
Release: 1999
Editor: Basic Books

DESCRIPTION OF THE BOOK:

Winner of the Pulitzer Prize A metaphorical fugue on minds and machines in the spirit of Lewis Carroll Douglas Hofstadter's book is concerned directly with the nature of "maps" or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

I Am a Strange Loop

I Am a Strange Loop
Available:
Author: Douglas R. Hofstadter
Pages: 436
ISBN: 9780465008377
Release: 2007-08-01
Editor: Basic Books

DESCRIPTION OF THE BOOK:

Can thought arise out of matter? Can self, soul, consciousness, “I” arise out of mere matter? If it cannot, then how can you or I be here? I Am a Strange Loop argues that the key to understanding selves and consciousness is the “strange loop”—a special kind of abstract feedback loop inhabiting our brains. The most central and complex symbol in your brain is the one called “I.” The “I” is the nexus in our brain, one of many symbols seeming to have free will and to have gained the paradoxical ability to push particles around, rather than the reverse. How can a mysterious abstraction be real—or is our “I” merely a convenient fiction? Does an “I” exert genuine power over the particles in our brain, or is it helplessly pushed around by the laws of physics? These are the mysteries tackled in I Am a Strange Loop, Douglas Hofstadter's first book-length journey into philosophy since Gödel, Escher, Bach. Compulsively readable and endlessly thought-provoking, this is a moving and profound inquiry into the nature of mind.

G del Escher Bach

G  del  Escher  Bach
Available:
Author: Douglas R. Hofstadter
Pages: 777
ISBN: 0140055797
Release: 1980
Editor: Unknown

DESCRIPTION OF THE BOOK:

Metamagical Themas

Metamagical Themas
Available:
Author: Douglas R. Hofstadter
Pages: 880
ISBN: 9780786723867
Release: 2008-08-04
Editor: Basic Books

DESCRIPTION OF THE BOOK:

Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.

Incompleteness The Proof and Paradox of Kurt G del Great Discoveries

Incompleteness  The Proof and Paradox of Kurt G  del  Great Discoveries
Available:
Author: Rebecca Goldstein
Pages: 296
ISBN: 9780393327601
Release: 2006-02-17
Editor: W. W. Norton & Company

DESCRIPTION OF THE BOOK:

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.

Surfaces and Essences

Surfaces and Essences
Available:
Author: Douglas Hofstadter,Emmanuel Sander
Pages: 592
ISBN: 9780465021581
Release: 2013-04-23
Editor: Basic Books

DESCRIPTION OF THE BOOK:

Is there one central mechanism upon which all human thinking rests? Cognitive scientists Douglas Hofstadter and Emmanuel Sander argue that there is. At this core is our incessant proclivity to take what we perceive, to abstract it, and to find resemblances to prior experiences--in other words, our ability to make analogies. In The Essence of Thought, Hofstadter and Sander show how analogy-making pervades our thought at all levels--indeed, that we make analogies not once a day or once an hour, but many times per second. Thus, analogy is the mechanism that, silently and hidden, chooses our words and phrases for us when we speak, frames how we understand the most banal everyday situation, guides us in unfamiliar situations, and gives rise to great acts of imagination. We categorize because of analogies that range from simple to subtle, and thus our categories, throughout our lives, expand and grow ever more fluid. Through examples galore and lively prose peppered, needless to say, with analogies large and small, Hofstadter and Sander offer us a new way of thinking about thinking.

Mathematical Logic

Mathematical Logic
Available:
Author: Stephen Cole Kleene
Pages: 416
ISBN: 9780486317076
Release: 2013-04-22
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Godel s Proof

Godel s Proof
Available:
Author: Ernest Nagel,James R. Newman
Pages: 128
ISBN: 9781134953998
Release: 2012-11-12
Editor: Routledge

DESCRIPTION OF THE BOOK:

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.

I is a Strange Loop

I is a Strange Loop
Available:
Author: Marcus du Sautoy,Victoria Gould
Pages: 96
ISBN: 9780571360741
Release: 2021-06-03
Editor: Faber & Faber

DESCRIPTION OF THE BOOK:

Alone in a cube that's glowing in the darkness, X is content within its little universe of infinite thought. This solitude is disturbed by the appearance of Y, who insists on exposing X to the richness of the physical world. Each begins to long for what the other has, luring them into a strange loop. In this play for two variables, Marcus du Sautoy and Victoria Gould use mathematics and theatre to navigate the furthest reaches of our world. Through a series of surreal episodes, X and Y tackle some of life's greatest questions: where did the universe come from, does time have an end, do we have free will? I is a Strange Loop was first performed by the authors at the Barbican Pit, London, in March 2019. 'I is a Strange Loop is a play that plays... with ideas, concepts, abstractions and relationships that are, usually, hidden from the sight of ordinary mortals, articulating the ineffable, incarnating the incorporeal, revealing the inconceivable... it makes us feel we know a great deal more than we do.... and is also very funny, utterly compelling and marvellously human.' Simon McBurney

On Formally Undecidable Propositions of Principia Mathematica and Related Systems

On Formally Undecidable Propositions of Principia Mathematica and Related Systems
Available:
Author: Kurt Gödel
Pages: 80
ISBN: 9780486158402
Release: 2012-05-24
Editor: Courier Corporation

DESCRIPTION OF THE BOOK:

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.

Goedel s Way

Goedel s Way
Available:
Author: Gregory Chaitin,Francisco A Doria,Newton C.A. da Costa
Pages: 160
ISBN: 9781136587641
Release: 2011-10-14
Editor: CRC Press

DESCRIPTION OF THE BOOK:

Kurt Gödel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20th century, with his contributions extending to Einstein’s general relativity, as he proved that Einstein’s theory allows for time machines. The Gödel incompleteness theorem - the usual formal mathematical systems cannot prove nor disprove all true mathematical sentences - is frequently presented in textbooks as something that happens in the rarefied realms of mathematical logic, and that has nothing to do with the real world. Practice shows the contrary though; one can demonstrate the validity of the phenomenon in various areas, ranging from chaos theory and physics to economics and even ecology. In this lively treatise, based on Chaitin’s groundbreaking work and on the da Costa-Doria results in physics, ecology, economics and computer science, the authors show that the Gödel incompleteness phenomenon can directly bear on the practice of science and perhaps on our everyday life. This accessible book gives a new, detailed and elementary explanation of the Gödel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no technicalities. Besides theory, the historical report and personal stories about the main character and on this book’s writing process, make it appealing leisure reading for those interested in mathematics, logic, physics, philosophy and computer sciences. See also: http://www.youtube.com/watch?v=REy9noY5Sg8

Fluid Concepts and Creative Analogies

Fluid Concepts and Creative Analogies
Available:
Author: Douglas R. Hofstadter
Pages: 518
ISBN: 0140258353
Release: 1998
Editor: Unknown

DESCRIPTION OF THE BOOK:

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.

The Emperor s New Mind

The Emperor s New Mind
Available:
Author: Roger Penrose
Pages: 602
ISBN: 0192861980
Release: 1999-03-04
Editor: Oxford Paperbacks

DESCRIPTION OF THE BOOK:

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 Mind s I

The Mind s I
Available:
Author: Douglas R. Hofstadter,Daniel Clement Dennett
Pages: 501
ISBN: 0465030912
Release: 2000
Editor: Basic Books (AZ)

DESCRIPTION OF THE BOOK:

Essays from some of the 20th century's greatest thinkers explore topics as diverse as artificial intelligence, evolution, science fiction, philosophy, reductionism, and consciousness, presenting a variety of conflicting visions of the self and the soul. Illustrations.

When Einstein Walked with G del

When Einstein Walked with G  del
Available:
Author: Jim Holt
Pages: 384
ISBN: 9780374717841
Release: 2018-05-15
Editor: Farrar, Straus and Giroux

DESCRIPTION OF THE BOOK:

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.

The Meaning of It All

The Meaning of It All
Available:
Author: Richard P. Feynman
Pages: 192
ISBN: 9780786739141
Release: 2009-04-29
Editor: Basic Books

DESCRIPTION OF THE BOOK:

Many appreciate Richard P. Feynman's contributions to twentieth-century physics, but few realize how engaged he was with the world around him—how deeply and thoughtfully he considered the religious, political, and social issues of his day. Now, a wonderful book—based on a previously unpublished, three-part public lecture he gave at the University of Washington in 1963—shows us this other side of Feynman, as he expounds on the inherent conflict between science and religion, people's distrust of politicians, and our universal fascination with flying saucers, faith healing, and mental telepathy. Here we see Feynman in top form: nearly bursting into a Navajo war chant, then pressing for an overhaul of the English language (if you want to know why Johnny can't read, just look at the spelling of “friend”); and, finally, ruminating on the death of his first wife from tuberculosis. This is quintessential Feynman—reflective, amusing, and ever enlightening.