Download GÖDEL, ESCHER, BACH fb2

Download GÖDEL, ESCHER, BACH fb2
ISBN: 6074213461
Language: Spanish
Category: Mathematics
Publisher: Tusquets (2011)
Rating: 4.2
Formats: azw lrf doc azw
FB2 size: 1741 kb | EPUB size: 1602 kb | DJVU size: 1115 kb
Sub: Math

Gödel, Escher, Bach: An Eternal Golden Braid, also known as GEB, is a 1979 book by Douglas Hofstadter.

Gödel, Escher, Bach: An Eternal Golden Braid, also known as GEB, is a 1979 book by Douglas Hofstadter. By exploring common themes in the lives and works of logician Kurt Gödel, artist M. C. Escher, and composer Johann Sebastian Bach, the book expounds concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how, through self-reference and formal rules, systems can acquire meaning despite being made of "meaningless" elements.

Gödel, Escher, Bach is the type of book that one is lucky to read once in a lifetime. Or perhaps this statement is not true. I found my copy used, with withered pages and a somewhat aged spine. The act of reading was a strange bittersweet loop, for as I found my enjoyment and understanding growing throughout, parallel the binding started to give, a bulk of pages started to break off, a page or two turned too quickly resulted in a tear, and I found the book aging before my eyes. I'm afraid that my copy will never be what it once was, but then such is life.

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Download books for free. G?del Escher Bach: An Eternal Golden Braid. Jutta Escher, SYMPOSIUM ON COMPUTATIONAL AND GROUP-THE, J. P. Draayer, Octavio Castanos, Jorge G. Hirsch, Stuart Pittel, Gergana Stoitcheva. Скачать (DJVU) . Читать. Скачать (PDF) . Analysis III. Herbert Amann, Joachim Escher.

G?del, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more. com/?book 0465026567) I Hope you enjoy reading the book!! Artificial Intelligence.

Find books like Gödel, Escher, Bach: An Eternal Golden Braid from the world’s largest community of readers

Find books like Gödel, Escher, Bach: An Eternal Golden Braid from the world’s largest community of readers  . However, according to Hofstadter, the formal system that underlies all mental activit. ore. Shelve Gödel, Escher, Bach: An Eternal Golden Braid.

ScientIfic Book - Godel, Escher, Bach: Godelescherbach Douglas R. .

ScientIfic Book - Godel, Escher, Bach: Godelescherbach Douglas R Hofstadter. Condition: Acceptable. G�del, Escher, Bach: een eeuwige gouden band by Hofstadter, Douglas R. Book The. £. 7.

Winner of the Pulitzer Prize, this book applies Godel's seminal contribution to modern mathematics to the study of the human mind and the development of artificial intelligence. Bibliography: p. 746-756. Reprint of the ed. published by Basic Books, New York.

Comments (7)
I heard from this title here in Mexico some time ago, but the cost of this book is EXPENSIVE, in terms of the material and size of it.

Nevertheless, I was glad to see it in AMAZON, in a much lower price (including shipping to Mexico!) so I have no doubt...

The science themes that are in the book are several, well explained set of themes, and also are a little cryptic for those who dont have a clue on science, but the author tries, with a good bit of success, to explain them all. I recomend this title to everyone who likes science and similar themes.
Un libro maravilloso que expone temas desde una perspectiva totalmente diferente. A pesar de que hace mucho tiempo que salió al mercado sigue cautivando a todos aquéllos interesados en las matemáticas, el arte y la música.
good book
Good product, If I need to criticize something that would be that it should have space at the margins to take notes.
The book was fine, I guess. Except it was in Spanish instead of English. I'd like to return it and get the English version.
This book is a must for math majors (as well as many logic and philosophy majors). Anyone else in the hard sciences should also read this book, at least to be enlightened. Initially, it is easy reading, then becomes slightly foggy, but pushing through is rewarding. Of the three, my favorite is Godel and I always mention his Incompleteness Theorem whenever his name comes up. It his probably actually best mentioned by Rudy Rucker in his book "Infinity and the Mind". I think it is significant enough to mention here:
The proof of Gödel's Incompleteness Theorem is so simple, and so sneaky, that it is almost embarassing to relate. His basic procedure is as follows:
1. Someone introduces Gödel to a UTM, a machine that is supposed to be a Universal Truth Machine, capable of correctly answering any question at all.
2. Gödel asks for the program and the circuit design of the UTM. The program may be complicated, but it can only be finitely long. Call the program P(UTM) for Program of the Universal Truth Machine.
3. Smiling a little, Gödel writes out the following sentence: "The machine constructed on the basis of the program P(UTM) will never say that this sentence is true." Call this sentence G for Gödel. Note that G is equivalent to: "UTM will never say G is true."
4. Now Gödel laughs his high laugh and asks UTM whether G is true or not.
5. If UTM says G is true, then "UTM will never say G is true" is false. If "UTM will never say G is true" is false, then G is false (since G = "UTM will never say G is true"). So if UTM says G is true, then G is in fact false, and UTM has made a false statement. So UTM will never say that G is true, since UTM makes only true statements.
6. We have established that UTM will never say G is true. So "UTM will never say G is true" is in fact a true statement. So G is true (since G = "UTM will never say G is true").
7. "I know a truth that UTM can never utter," Gödel says. "I know that G is true. UTM is not truly universal."
Think about it - it grows on you ...
With his great mathematical and logical genius, Gödel was able to find a way (for any given P(UTM)) actually to write down a complicated polynomial equation that has a solution if and only if G is true. So G is not at all some vague or non-mathematical sentence. G is a specific mathematical problem that we know the answer to, even though UTM does not! So UTM does not, and cannot, embody a best and final theory of mathematics ...
Although this theorem can be stated and proved in a rigorously mathematical way, what it seems to say is that rational thought can never penetrate to the final ultimate truth ... But, paradoxically, to understand Gödel's proof is to find a sort of liberation. For many logic students, the final breakthrough to full understanding of the Incompleteness Theorem is practically a conversion experience. This is partly a by-product of the potent mystique Gödel's name carries. But, more profoundly, to understand the essentially labyrinthine nature of the castle is, somehow, to be free of it.
This is the kind of mental freedom you will gain by reading this book. Highly recommended.
Godel, Escher and Bach, written by Douglas Hofstadter, while the title would suggest it is discussion of a mathematician, an artist, and a composer, is a complex examination of how human beings develop perception and meaning. More specifically, the book explores, through a series of dialogues and narrations, how symbols, thought and language are all intertwined and how reality is essentially a composition of overlapping meanings and perceptions. The book challenges the reader to observe the system of symbolic meanings around him or her objectively.
Obviously time has passed since this book appeared the first time and after some years we are facing new theories and new points of views, but this book is to me a type of "need to read" if you wish to experience were our thinking can go and how important it is to consider were you focus from. I consider this book a real masterpiece in content, form and exposition method. And it is really addictive.