Gödel, Escher, Bach
Title | Gödel, Escher, Bach PDF eBook |
Author | Douglas R. Hofstadter |
Publisher | Penguin Group(CA) |
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
Title | I Am a Strange Loop PDF eBook |
Author | Douglas R. Hofstadter |
Publisher | Basic Books (AZ) |
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
Title | Metamagical Themas PDF eBook |
Author | Douglas R Hofstadter |
Publisher | Basic Books |
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
Title | When Einstein Walked with Gödel PDF eBook |
Author | Jim Holt |
Publisher | Farrar, Straus and Giroux |
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
Title | Incompleteness PDF eBook |
Author | Rebecca Goldstein |
Publisher | W. W. Norton & Company |
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.
On Formally Undecidable Propositions of Principia Mathematica and Related Systems
Title | On Formally Undecidable Propositions of Principia Mathematica and Related Systems PDF eBook |
Author | Kurt Gödel |
Publisher | Courier Corporation |
Pages | 82 |
Release | 2012-05-24 |
Genre | Mathematics |
ISBN | 0486158403 |
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
Title | Surfaces and Essences PDF eBook |
Author | Douglas Hofstadter |
Publisher | Basic Books (AZ) |
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.