Gödel, Escher, Bach: Un eterno y grácil bucle

Apenas lo he empezado a leer, pero en los primeros capítulos se nota la maravilla de libro. Todo un clasico.

Una pieza maestra de la literatura científica

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.

Good product, If I need to criticize something that would be that it should have space at the margins to take notes.

good book

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.

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.

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.

No viene tan protegido, pero igual es muy libro, lo recomiendo.

Es un clasico imprescindible de la filosofia cientifica.

Interessante parallelismo e teoria svilupata dall'autore. La parte di musica e arte si segue facilmente, pero la parte matematica è abbastanza complessa (anche per me che ho studiato in quel settore). bisogna sottolineare e ritornare indietro per rivedere definizioni e concetti: cercavo un libro piu semplice da seguire.

El contenido del libro es revolucionario, al menos para mí. La parte de lógica se me hacía difícil de seguir, pero no es imprescindible dominarla. La idea que plasma es tan poderosa y está tan ingeniosa y bellamente explicada que trasciende a esa aridez de lógica matemática que yo, por incapacidad propia, no he penetrado ni disfrutado tanto. Muy recomendable.

La figura 148 de la pagina 802 esta invertida. Para poderla ver bien hay que pegar un espejo y mirar la imagen reflejada en el.Es una pequeña partitura de piano. Es un error de impresion. Pedi que me cambiaran el libro por este error y por otro de corte de una hoja y el nuevo que recibi tenia el mismo error en la figura 148. El libro vale la pena aunque tenga este error.