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1. A Logical Journey: From Gödel to Philosophy by Hao Wang | |
Hardcover: 432
Pages
(1997-01-10)
list price: US$58.00 -- used & new: US$39.15 (price subject to change: see help) Asin: 0262231891 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Hao Wang (1921-1995) was one of the few confidants of the greatmathematician and logician Kurt Gödel. A Logical Journey isa continuation of Wang's Reflections on Gödel and alsoelaborates on discussions contained in From Mathematics toPhilosophy. A decade in preparation, it contains important andunfamiliar insights into Gödel's views on a wide range of issues,from Platonism and the nature of logic, to minds and machines, theexistence of God, and positivism and phenomenology. The impact ofGödel's theorem on twentieth-century thought is on par with that ofEinstein's theory of relativity, Heisenberg's uncertainty principle, orKeynesian economics. These previously unpublished intimate and informalconversations, however, bring to light and amplify Gödel's othermajor contributions to logic and philosophy. They reveal that there ismuch more in Gödel's philosophy of mathematics than is commonlybelieved, and more in his philosophy than his philosophy of mathematics.Wang writes that "it is even possible that his quite informal andloosely structured conversations with me, which I am freely using inthis book, will turn out to be the fullest existing expression of thediverse components of his inadequately articulated general philosophy."The first two chapters are devoted to Gödel's life and mentaldevelopment. In the chapters that follow, Wang illustrates the quest foroverarching solutions and grand unifications of knowledge and action inGödel's written speculations on God and an afterlife. He gives thebackground and a chronological summary of the conversations, considersGödel's comments on philosophies and philosophers (his support ofHusserl's phenomenology and his digressions on Kant and Wittgenstein),and his attempt to demonstrate the superiority of the mind's power overbrains and machines. Three chapters are tied together by what Wangperceives to be Gödel's governing ideal of philosophy: an exacttheory in which mathematics and Newtonian physics serve as a model forphilosophy or metaphysics. Finally, in an epilog Wang sketches his ownapproach to philosophy in contrast to his interpretation of Gödel'soutlook. Customer Reviews (4)
Like Isaac Newton, a mystical side to another great mathematician
Hao Wang, Unsung Hero
The end of books: the pinnacle of knowledge
Meet Gödel the philosopher Through this book we find out that althoughGödel and Einstein were close friends, Gödel, unlike Einstein, shunnedpublic debate.He held philosophical views which he knew would be verycontroversial if he were to publicize them, and he greatly dislikedpublshing anything he could not prove rigorously.Accoringly, heinstructed his biographer to publish these viewpoints only after his death. This book contains hundreds of quotations from Gödel's conversationswith the author.Fortunately, the author left in quotations that he hesaid he did not understand, trusting that others might. Here are a fewquotes: "Consciousness is connected with one unity. A machine iscomposed of parts." "The brain is a computing machine connectedwith a spirit." "Materialism is false." "Our totalreality and total existence are beautiful and meaningful . . . . We shouldjudge reality by the little which we truly know of it. Since that partwhich conceptually we know fully turns out to be so beautiful, the realworld of which we know so little should also be beautiful. Life may bemiserable for seventy years and happy for a million years: the short periodof misery may even be necessary for the whole." If you find Gödel'stheorem interesting, I hope you will read this book and found out moreabout the man behind the theorem. ... Read more |
2. On Formally Undecidable Propositions of Principia Mathematica and Related Systems by Kurt Gödel | |
Paperback: 80
Pages
(1992-04-01)
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Editorial Review Product Description Customer Reviews (13)
Mathematical Rationalismhas limits
The following is a dissenting view
Gödel's proof of the inadequacy of formalism
One of the Best Books You Should Never Read
Unbelievable theorem |
3. Incompleteness: The Proof and Paradox of Kurt Godel (Great Discoveries) by Rebecca Goldstein | |
Paperback: 224
Pages
(2006-02-17)
list price: US$13.95 -- used & new: US$8.08 (price subject to change: see help) Asin: 0393327604 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This and other paradoxes of Gödel's life are woven throughout Incompleteness, with biographical details taking something of a back seat to the philosophical and mathematical underpinnings of his theories. As an introduction to one of the three most profound scientific insights of the 20th century (the other two being Einstein's relativity and Heisenberg's uncertainty principle), Incompleteness is accessible, yet intellectually rigorous. Goldstein succeeds admirably in retiring inaccurate interpretations of Gödel's ideas. --Therese Littleton Customer Reviews (59)
Gentle introduction to Godel
Incompleteness: The Proof and Paradox of Kurt Gödel
Brief and Engaging Book on Gödel
A Most Important Read
Excellent |
4. Reflections on Kurt Gödel by Hao Wang | |
Paperback: 368
Pages
(1990-03-14)
list price: US$30.00 -- used & new: US$170.71 (price subject to change: see help) Asin: 0262730871 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Wang Exposes Godel's Great Predictions.
Since no one else has reviewed this I will. |
5. Gödel: A Life of Logic by John L. Casti, Werner DePauli | |
Paperback: 224
Pages
(2001-09)
list price: US$17.00 -- used & new: US$0.66 (price subject to change: see help) Asin: 0738205184 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product 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. Customer Reviews (15)
Almost excellent, but not quite. (4.25 stars)
Un understandable overview of Godel and his completeness theorem
An abridged version of Hofstadter's book.
Biography: no --Look at his great theorm: YES!
Not the real Gödel ? |
6. Gödel, Escher, Bach: An Eternal Golden Braid by Douglas R. Hofstadter | |
Paperback: 832
Pages
(1999-02-05)
list price: US$22.95 -- used & new: US$12.44 (price subject to change: see help) Asin: 0465026567 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Hofstadter's great achievement in Gödel, Escher, Bach was making abstruse mathematical topics (like undecidability, recursion, and 'strange loops') accessible and remarkably entertaining. Borrowing a page from Lewis Carroll (who might well have been a fan of this book), each chapter presents dialogue between the Tortoise and Achilles, as well as other characters who dramatize concepts discussed later in more detail. Allusions to Bach's music (centering on his Musical Offering) and Escher's continually paradoxical artwork are plentiful here. This more approachable material lets the author delve into serious number theory (concentrating on the ramifications of Gödel's Theorem of Incompleteness) while stopping along the way to ponder the work of a host of other mathematicians, artists, and thinkers. The world has moved on since 1979, of course. The book predicted that computers probably won't ever beat humans in chess, though Deep Blue beat Garry Kasparov in 1997. And the vinyl record, which serves for some of Hofstadter's best analogies, is now left to collectors. Sections on recursion and the graphs of certain functions from physics look tantalizing, like the fractals of recent chaos theory. And AI has moved on, of course, with mixed results. Yet Gödel, Escher, Bach remains a remarkable achievement. Its intellectual range and ability to let us visualize difficult mathematical concepts help make it one of this century's best for anyone who's interested in computers and their potential for real intelligence. --Richard Dragan Topics Covered: J.S. Bach, M.C. Escher, Kurt Gödel: biographical information and work, artificial intelligence (AI) history and theories, strange loops and tangled hierarchies, formal and informal systems, number theory, form in mathematics, figure and ground, consistency, completeness, Euclidean and non-Euclidean geometry, recursive structures, theories of meaning, propositional calculus, typographical number theory, Zen and mathematics, levels of description and computers; theory of mind: neurons, minds and thoughts; undecidability; self-reference and self-representation; Turing test for machine intelligence. Customer Reviews (267)
A Little Bit Overrated, but Good
Better on the re read
Elitist, Confused, Show-off
Out of the Matrix
Good, but not great |
7. Kurt Gödel: Essays for his Centennial (Lecture Notes in Logic) | |
Hardcover: 376
Pages
(2010-04-19)
list price: US$90.00 -- used & new: US$19.34 (price subject to change: see help) Asin: 0521115140 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
8. Logical Dilemmas: The Life and Work of Kurt Godel by John W. Dawson Jr. | |
Paperback: 376
Pages
(2005-05-28)
list price: US$39.00 -- used & new: US$28.88 (price subject to change: see help) Asin: 1568812566 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Good Biography, a bit heavy on the math
Excellent.
The definitive biography of Kurt Godel Having catalogued Godel's works and personal papers, Dawson saw aspects of Godel's life that perhaps no one short of his wife had seen. The book is a fascinating jaunt through the through the lives of one of the greatest minds of the 20th century.What is also interesting is Godel's interaction with personalities such as Einstein and Van Neumann. While the mathematics is often abstract, as can be expected, Logical Dilemmas is a mesmerizing read.
By a Mathematician for Mathematicians In putting together this biography, Mr. Dawson has the advantage of being mathematician.Additionally, he has the advantage of being the mathematician who catalogued Godel's papers after his death.This gives him a lot of insight into Godel that other writers cannot have and he weaves quotations from these papers into the biography very well.Mr. Dawson's is a well-documented and logical biography that is short on conjecture and long on footnotes.In brief, it is a biography about a mathematician clearly written by a mathematician.This is both its strength and its weakness. Actually, I like the purely biographical sections of this book very much.The biographical information is clear and informative, though a bit dry in the academic style favored by mathematicians and scientists.Fortunately, having lived and worked among these people, I am comfortable with this style.More importantly, I feel like I have a better idea now of who Godel was and what he was like from reading this book.His focus on his work, his relationship with his family and friends (particularly his wife) and his ultimate decent into mental illness are much more in focus for me now. On the other hand, the sections that deal with Godel's mathematics are much more difficult to take.The discussion of mathematics in this book goes far beyond what most people are going to be able to handle.I fear the average reader even with a decent math background who comes across this book will drop it as soon as the mathematics starts and that is unfortunate. (I am always looking for books to promote math even among non-mathematicians.This one does not do it.)A reader who can handle the math, however, will find this book revealing. ... Read more |
9. Gödel, Putnam, and Functionalism: A New Reading of Representation and Reality (Bradford Books) by Jeff Buechner | |
Hardcover: 364
Pages
(2007-11-30)
list price: US$38.00 -- used & new: US$10.98 (price subject to change: see help) Asin: 0262026236 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
10. Kurt Gödel: Unpublished Philosophical Essays | |
Hardcover: 240
Pages
(1995-12-01)
list price: US$99.00 -- used & new: US$78.90 (price subject to change: see help) Asin: 3764353104 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Kurt Gödel, together with Bertrand Russell, is the most important name in logic, and in the foundations and philosophy of mathematics of this century. However, unlike Russel, Gödel the mathematician published very little apart from his well-known writings in logic, metamathematics and set theory. Fortunately, Gödel the philosopher, who devoted more years of his life to philosophy than to technical investigation, wrote hundreds of pages on the philosophy of mathematics, as well as on other fields of philosophy. It was only possible to learn more about his philosophical works after the opening of his literary estate at Princeton a decade ago. The goal of this book is to make available to the scholarly public solid reconstructions and editions of two of the most important essays which Gödel wrote on the philosophy of mathematics. The book is divided into two parts. The first provides the reader with an incisive historico-philosophical introduction to Gödel's technical results and philosophical ideas. Written by the Editor, this introductory apparatus is not only devoted to the manuscripts themselves but also to the philosophical context in which they were written. The second contains two of Gödel's most important and fascinating unpublished essays: 1) the Gibbs Lecture ("Some basic theorems on the foundations of mathematics and their philosophical implications", 1951); and 2) two of the six versions of the essay which Gödel wrote for the Carnap volume of the Schilpp series The Library of Living Philosophers ("Is mathematics syntax of language?", 1953-1959). Customer Reviews (2)
Brilliance in obscurity He did, however, show that conventionalism had fatal flaws. Not simply minor flaws that could be patched later, but flaws which erased the unsatisfying metaphysics of conventionalism. He argued against Carnap and others but was hesitant to publish his papers, because he found his philosophical work incomplete, being a perfectionist he wanted to be absolutely sure he had the final answer. That is one of the reasons his philosophy remained in obscurity. The other is that no other Godel came. In these essays he argues for a metaphysics in which mathematical objects exist in a realm of their own, and their perception can be achieved only through indirect means, by mathematical intuition which operates on a kind of data that is not the same as sense data. He also offered a disjunctive proposition which claimed that either the mind is infinitely more powerful than a computer, or there are such propositions that are absolutely unsolvable by a computer. He contends that both possibilities will frustrate the materialists, for either the human mind is not mechanical, or there is a realm of abstract objects. Throughout the essays, the most persistent idea is that mathematics cannot be reduced to syntax, and that mathematical truth is not our creation: it exists independently. These ideas should be taken seriously because they originate from the same person who has shaken the world of 20th century mathematics with his foundational results. Rodriquez exposes this dramatic turn of events in the first half of 20th century in a vibrant and rigorous fashion including Godel's completeness theorem and incompleteness theorems. The first half of the book is dedicated to laying out the background for Godel's two unpublished philosophical essays. In this part, Rodriquez summarizes the history of developments which have led to Godel's philosophical work and the philosophical views of Godel and his contemporaries. A very detailed and scholarly analysis of Godel's philosophy, including a lucid description of his ontology and epistemology are being presented. One wonders how much work must have gone into deciphering Godel's work and establishing the relationships which Rodriquez uncovered. The second part of the book contains the essays, edited from Godel's unpublished manuscripts. The essays are most striking, and they are written in an almost mathematically precise language and they are dense with argument in every sentence. The first essay is the script of his famous Gibbs lecture, which he read to an audience only once. The second essay is a response to Carnap's "The Logical Syntax of Language". Both essays have been revised significantly by Godel over the years, and Rodriquez does his best to provide a complete account of Godel's work.
I think, then I live! This is what Godel revealed. |
11. An Introduction to Gödel's Theorems (Cambridge Introductions to Philosophy) by Peter Smith | |
Paperback: 376
Pages
(2007-08-06)
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Editorial Review Product Description Customer Reviews (4)
An Introduction to Godel's Theorems
Good Book, Wrong Title
the best thing out there
An introduction to Gödel's theorems by Peter Smith |
12. Collected Works: Volume III: Unpublished Essays and Lectures (Collected Works (Oxford)) (Vol 3) by Kurt Gödel | |
Paperback: 560
Pages
(2001-05-31)
list price: US$55.00 -- used & new: US$39.41 (price subject to change: see help) Asin: 0195147227 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Godel's unpublished philosphy |
13. Collected Works: Volume II: Publications 1938-1974 (Collected Works (Oxford)) by Kurt Gödel | |
Paperback: 432
Pages
(2001-06-21)
list price: US$75.00 -- used & new: US$42.19 (price subject to change: see help) Asin: 0195147219 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Excellent material that fits lots of class uses In describing Russell's theory of types he says, "The paradoxes are avoided by the theory of simple types which is combined with the theory of simple orders - a "ramified hierarchy"" Godel argues that the vicious circle principle is false rather than that classical mathematics is false. p. 202 "A remark about the relationship between relativity theory and idealistic philosophy (1949a) (Note that this view supports my usual presentations in class on this!) "The argument runs as follows:Change becomes possible only through the lapse of time. The existence of an objective lapse of time 4, however, means (or, at least, is equivalent to the fact) that reality consists of an infinity of layers of "now" p. 203 which come into existence successively. But, if simultaneity is something relative in the sense just explained, reality cannot be split up into such layers in an objectively determined way. Each observer has his own set of "nows", and none of these various systems of layers can claim the prerogative of representing the objective lapse of time. 5" ... Read more |
14. GODEL,ESCHER,BACH V502 by Douglas Hofstadter | |
Paperback: 777
Pages
(1980-09-12)
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Customer Reviews (16)
Worth reading, but not the last word
Couldn't be more satisfied
One for the Proverbial Deserted Island
No other word for it: Amazing.
Excellent book |
15. Kurt Gödel by Rebecca Goldstein | |
Hardcover: 312
Pages
(2006-03-31)
Isbn: 3492048846 Canada | United Kingdom | Germany | France | Japan | |
16. Types, Tableaus, and Gödel's God (Trends in Logic) by M. Fitting | |
Hardcover: 196
Pages
(2002-05-31)
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17. Memoirs of a Proof Theorist: Gödel and Other Logicians by Gaisi Takeuti, Nicholas Passell, Mariko Yasugi | |
Hardcover: 156
Pages
(2003-02)
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18. Consistency of the Continuum Hypothesis. (AM-3) by Kurt Godel | |
Paperback: 72
Pages
(1940-09-01)
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19. Collected Works: Volume I: Publications 1929-1936 (Collected Works (Oxford)) by Kurt Gödel | |
Paperback: 504
Pages
(2001-05-31)
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The Horror! |
20. Incompletezza: Saggio su Kurt Godel (Italian Edition) by Gabriele Lolli | |
Paperback: 116
Pages
(1992)
Isbn: 8815036962 Canada | United Kingdom | Germany | France | Japan | |
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