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Incompleteness

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

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

Incompleteness

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

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

Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries)

Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries) PDF Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
ISBN: 0393242455
Category : Biography & Autobiography
Languages : en
Pages : 224

Book Description
"A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven Pinker Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

Incompleteness

Incompleteness PDF Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
ISBN: 9780393051698
Category : Biography & Autobiography
Languages : en
Pages : 316

Book Description
Considered the 20th century's greatest mathematician, Kurt Godel is the subject of this lucid and accessible study, which explains the significance of his theorems and the remarkable vision behind them, while bringing this eccentric, tortured genius and his world to life.

A World Without Time

A World Without Time PDF Author: Palle Yourgrau
Publisher: Basic Books
ISBN: 078673700X
Category : Science
Languages : en
Pages : 226

Book Description
It is a widely known but little considered fact that Albert Einstein and Kurt Godel were best friends for the last decade and a half of Einstein's life. The two walked home together from Princeton's Institute for Advanced Study every day; they shared ideas about physics, philosophy, politics, and the lost world of German science in which they had grown up. By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist . Einstein endorsed this result-reluctantly, since it decisively overthrew the classical world-view to which he was committed. But he could find no way to refute it, and in the half-century since then, neither has anyone else. Even more remarkable than this stunning discovery, however, was what happened afterward: nothing. Cosmologists and philosophers alike have proceeded with their work as if Godel's proof never existed -one of the greatest scandals of modern intellectual history. A World Without Time is a sweeping, ambitious book, and yet poignant and intimate. It tells the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue from undeserved obscurity the brilliant work they did together.

Godel's Proof

Godel's Proof PDF Author: Ernest Nagel
Publisher: Routledge
ISBN: 1134953992
Category : Philosophy
Languages : en
Pages : 109

Book Description
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.

Plato at the Googleplex

Plato at the Googleplex PDF Author: Rebecca Goldstein
Publisher: Pantheon
ISBN: 0307378195
Category : Philosophy
Languages : en
Pages : 481

Book Description
Acclaimed philosopher and novelist Rebecca Newberger Goldstein provides a dazzlingly original plunge into the drama of philosophy, revealing its hidden role in today's debates on religion, morality, politics, and science.

Godel

Godel PDF Author: John L. Casti
Publisher:
ISBN: 0786747609
Category : Science
Languages : en
Pages : 222

Book Description
Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.

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

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.

Mazel

Mazel PDF Author: Rebecca Goldstein
Publisher: Univ of Wisconsin Press
ISBN: 9780299181246
Category : Fiction
Languages : en
Pages : 388

Book Description
Mazel means luck in Yiddish, and luck is the guiding force in this magical and mesmerizing novel that spans three generations. Sasha Saunders is the daughter of a Polish rabbi who abandons the shtetl and wins renown as a Yiddish actress in Warsaw and New York. Her daughter Chloe becomes a professor of classics at Columbia. Chloe's daughter Phoebe grows up to become a mathematician who is drawn to traditional Judaism and the sort of domestic life her mother and grandmother rejected.

A Logical Journey

A Logical Journey PDF Author: Hao Wang
Publisher: MIT Press
ISBN: 9780262261258
Category : Philosophy
Languages : en
Pages : 420

Book Description
Hao Wang (1921-1995) was one of the few confidants of the great mathematician and logician Kurt Gödel. A Logical Journey is a continuation of Wang's Reflections on Gödel and also elaborates on discussions contained in From Mathematics to Philosophy. A decade in preparation, it contains important and unfamiliar insights into Gödel's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology. The impact of Gödel's theorem on twentieth-century thought is on par with that of Einstein's theory of relativity, Heisenberg's uncertainty principle, or Keynesian economics. These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy. They reveal that there is much more in Gödel's philosophy of mathematics than is commonly believed, and more in his philosophy than his philosophy of mathematics. Wang writes that "it is even possible that his quite informal and loosely structured conversations with me, which I am freely using in this book, will turn out to be the fullest existing expression of the diverse components of his inadequately articulated general philosophy." The first two chapters are devoted to Gödel's life and mental development. In the chapters that follow, Wang illustrates the quest for overarching solutions and grand unifications of knowledge and action in Gödel's written speculations on God and an afterlife. He gives the background and a chronological summary of the conversations, considers Gödel's comments on philosophies and philosophers (his support of Husserl's phenomenology and his digressions on Kant and Wittgenstein), and his attempt to demonstrate the superiority of the mind's power over brains and machines. Three chapters are tied together by what Wang perceives to be Gödel's governing ideal of philosophy: an exact theory in which mathematics and Newtonian physics serve as a model for philosophy or metaphysics. Finally, in an epilog Wang sketches his own approach to philosophy in contrast to his interpretation of Gödel's outlook.