Gödel, Escher, Bach

Gödel, Escher, Bach
Author: Douglas R. Hofstadter
Publisher: Penguin Group(CA)
Total Pages: 832
Release: 2000
Genre: Art and music
ISBN: 9780140289206

'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
Author: Douglas R. Hofstadter
Publisher: Basic Books (AZ)
Total Pages: 544
Release: 2007-03-27
Genre: Philosophy
ISBN: 0465030785

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
Author: Douglas R Hofstadter
Publisher: Basic Books
Total Pages: 622
Release: 2008-08-04
Genre: Psychology
ISBN: 0786723866

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
Author: Jim Holt
Publisher: Farrar, Straus and Giroux
Total Pages: 385
Release: 2018-05-15
Genre: Science
ISBN: 0374717842

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.

Incompleteness

Incompleteness
Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
Total Pages: 299
Release: 2006-01-31
Genre: Biography & Autobiography
ISBN: 0393327604

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

Surfaces and Essences

Surfaces and Essences
Author: Douglas Hofstadter
Publisher: Basic Books (AZ)
Total Pages: 594
Release: 2013-04-23
Genre: Philosophy
ISBN: 0465018475

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.

The Magician King

The Magician King
Author: Lev Grossman
Publisher: Penguin
Total Pages: 433
Release: 2012-05-29
Genre: Fiction
ISBN: 0452298016

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.

How Mathematicians Think

How Mathematicians Think
Author: William Byers
Publisher: Princeton University Press
Total Pages: 424
Release: 2010-05-02
Genre: Mathematics
ISBN: 0691145997

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.

Gödel's Proof

Gödel's Proof
Author: Ernest Nagel
Publisher: Psychology Press
Total Pages: 118
Release: 1989
Genre: Gödel's theorem
ISBN: 041504040X

In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, Godel’s Proofby Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.

The Grand Biocentric Design

The Grand Biocentric Design
Author: Robert Lanza
Publisher: BenBella Books
Total Pages: 280
Release: 2020-11-17
Genre: Science
ISBN: 1950665550

What if life isn't just a part of the universe . . . what if it determines the very structure of the universe itself? The theory that blew your mind in Biocentrism and Beyond Biocentrism is back, with brand-new research revealing the startling truth about our existence. What is consciousness? Why are we here? Where did it all come from—the laws of nature, the stars, the universe? Humans have been asking these questions forever, but science hasn't succeeded in providing many answers—until now. In The Grand Biocentric Design, Robert Lanza, one of Time Magazine's "100 Most Influential People," is joined by theoretical physicist Matej Pavšic and astronomer Bob Berman to shed light on the big picture that has long eluded philosophers and scientists alike. This engaging, mind-stretching exposition of how the history of physics has led us to Biocentrism—the idea that life creates reality-takes readers on a step-by-step adventure into the great science breakthroughs of the past centuries, from Newton to the weirdness of quantum theory, culminating in recent revelations that will challenge everything you think you know about our role in the universe. ​This book offers the most complete explanation of the science behind Biocentrism to date, delving into the origins of the memorable principles introduced in previous books in this series, as well as introducing new principles that complete the theory. The authors dive deep into topics including consciousness, time, and the evidence that our observations-or even knowledge in our minds-can affect how physical objects behave. The Grand Biocentric Design is a one-of-a-kind, groundbreaking explanation of how the universe works, and an exploration of the science behind the astounding fact that time, space, and reality itself, all ultimately depend upon us.