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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.
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.
Author: Kurt Konolige
Publisher:
ISBN:
Category : Analysis (Philosophy)
Languages : en
Pages : 78
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Book Description
Both agents are state-of-theart constructions, incorporating the latest Al research in chess playing, natural-language understanding, planning, etc. But because of the overwhelming combinatorics of' chess, neither they nor the fastest foreseeable computers would be able to search the entire game tree to find out whether White has a forced win. Why then do they come to such an odd conclusion about their own knowledge of the game? The chess scenario is an anecdotal example of the way inaccurate cognitive models can lead to behavior that is less than intelligent in artificial agents. In this case, the agents' model of belief is not correct. They make the assumption that an agent actually knows all the consequences of his beliefs. S1 knows that chess is a finite game, and thus reasons that, in principle, knowing the rules of chess is all that is required to figure out whether White has a forced ini%ial win. Mter learning that S2 does indeed know the rules of chess he comes to the erroneous conclusion that S2 also knows this particular consequence of the rules. And S2 himself, reflecting on his own knowledge in the same manner, arrives at the same conclusion, even though in actual fact he could never carry out the computations necessary to demonstrate it.
Author: Torkel Franzén
Publisher: CRC Press
ISBN: 1439876924
Category : Mathematics
Languages : en
Pages : 182
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Book Description
"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel
Author: Hao Wang
Publisher: MIT Press
ISBN: 9780262730877
Category : Philosophy
Languages : en
Pages : 366
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Book Description
Newton/Descartes. Einstein/Gödel. The seventeenth century had its scientific and philosophical geniuses. Why shouldn't ours have them as well? Kurt Gödel was indisputably one of the greatest thinkers of our time, and in this first extended treatment of his life and work, Hao Wang, who was in close contact with Gödel in his last years, brings out the full subtlety of Gödel's ideas and their connection with grand themes in the history of mathematics and philosophy. The subjects he covers include the completeness of elementary logic, the limits of formalization, the problem of evidence, the concept of set, the philosophy of mathematics, time, and relativity theory, metaphysics and religion, as well as general ideas on philosophy as a worldview. Wang, whose reflections on his colleague also serve to clarify his own philosophical thoughts, distinguishes his ideas from those of Gödel's and on points of agreement develops Gödel's views further. The book provides a generous array of information on and interpretation of the two main phases of Gödel's career - the years between 1924 and 1939 at the University of Vienna, which were marked by intense mathematical creativity, and the period from 1940 to his death in 1978, during which he was affiliated with the Institute for Advanced Studies in Princeton, a time in which Gödel's interests steadily shifted from questions of logic to metaphysics. And it also examines Gödel's relations with the Vienna Circle, his philosophical differences with Carnap and Wittgenstein, the intimate and mutually fruitful friendship with Einstein, and the periodic bouts of depression for which Gödel was hospitalized a number of times over the course of his life. A Bradford Book.
Author: Palle Yourgrau
Publisher: Basic Books
ISBN: 078673700X
Category : Science
Languages : en
Pages : 226
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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.
Author: Alexandre C. Ziegler
Publisher: Springer Science & Business Media
ISBN: 3540247556
Category : Business & Economics
Languages : en
Pages : 205
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Book Description
After a brief review of the existing incomplete information literature, the effect of incomplete information on investors' exptected utility, risky asset prices, and interest rates is described. It is demonstrated that increasing the quality of investors' information need not increase their expected utility and the prices of risky assets. The impact of other factors is discussed in detail. It is also demonstrated that financial markets in general do not aggregate information efficiently, a fact that can explain the equity premium puzzle.
Author: Kathleen Ritter
Publisher: Psychology Press
ISBN: 9780789060167
Category : Christianity
Languages : en
Pages : 242
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Book Description
Stories of 17 women who have struggled for human rights throughout the world during the 20th century but have been largely overlooked by the conventional literature. They are depicted confronting authoritarian governments, struggling with race and ethnicity, seeking environmental justice, upholding women's rights as human rights, and making the world safe for children. Paper edition (unseen), $18.95. Annotation copyright by Book News, Inc., Portland, OR
Author: Janos Fodor
Publisher: Physica
ISBN: 3790818488
Category : Business & Economics
Languages : en
Pages : 215
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Book Description
Nowadays, decision problems are pervaded with incomplete knowledge, i.e., imprecision and/or uncertain information, both in the problem description and in the preferential information. In this volume leading scientists in the field address various theoretical and practical aspects related to the handling of this incompleteness. The problems discussed are taken from multi-objective linear programming, rationality considerations in preference modelling, non-probabilistic utility theory, data fusion, group decision making and multicriteria decision aid. The book is oriented towards researchers, graduate and postgraduate students in decision analysis, fuzzy sets and fuzzy logic, and operations research/management science.
Author: European Coordinating Committee for Artificial Intelligence
Publisher: IOS Press
ISBN: 160750605X
Category : Computers
Languages : en
Pages : 1184
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Book Description
LC copy bound in 2 v.: v. 1, p. 1-509; v. 2, p. [509]-1153.
Author: Gurusrinivas G
Publisher: Griffin Publications
ISBN: 9391813488
Category : Body, Mind & Spirit
Languages : en
Pages : 169
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Book Description
The ultimate goal of this book is to show away to live a contentful life throughout the journey between life and death and be in the present moment for most of the time without any fearful anxieties and recover from mental disturbance in the shortest time; this book will act as a framework to fallback in case we have disturbance in focusing on the present. This book will lead you toward self-realization and teach you to devote time to self-care and progress by focusing on the present moment rather than living in fear thinking about the uncertainties of the future. The pages of the book will lead us to embrace peace and calmness and thus pave the way to make society peaceful.
