"The "space" of all possible programs is so huge that no one can have a sense of what is possible. Each higher-level language is naturally suited for exploring certain regions of "program space"; thus the programmer, by using that language, is channeled into those areas of program space. He is not forced by the language into writing programs of any particular type, but the language makes it easy for him to do certain kinds of things. Proximity to a concept, and a gentle shove, are often all that is needed for a major discovery-and that is the reason for the drive towards languages of ever higher levels."

"Пытаясь предусмотреть некоторые трудности будущих переводчиков, я, слово за словом, прошелся по книге с красной ручкой и отметил все каламбуры, и акростихи, все словесные перестановки, и переклички далеких отрывков текста: я объяснил трудноуловимые двойные (или тройные, или четверные, или пятерные) значения и указал отрывки, в которых форма отражает содержание; отметил те места книги, в которых сами особенности типографского набора передают важную информацию, посоветовал, какие затруднительные пассажи могут быть облегчены в переводе, а какие необходимо сохранить, и так далее. С этой кропотливой работой я провозился целый год, но делал ее с любовью; так или иначе, она была необходима, чтобы предотвратить катастрофу."

Праздничное предисловие автора к русскому изданию книги «Гёдель, Эшер, Бах»

If you listened to each voice on its own, you would find that it seemed to make sense all by itself. It could stand alone, and that is the sense in which I meant that it is independent. But you are quite right in pointing out that each of these individually meaningful lines fuses with the others in a highly nonrandom way, to make a graceful totality. The art of writing a beautiful fugue lies precisely in this ability, to manufacture several different lines, each one of which gives the illusion of having been written for its own beauty, and yet which when taken together form a whole, which does not feel forced in any way.

"We believe in marbles that disintegrate when we search for them but that are as real as any genuine marble when we're not looking for them. Our very nature is such as to prevent us from fully understanding its very nature. Poised midway between the unvisualizable cosmic vastness of curved spacetime and the dubious, shadowy flickerings of charged quanta, we human beings, more like rainbows and mirages than like raindrops or boulders, are unpredictable self-writing poems — vague, metaphorical, ambiguous, and sometimes exceedingly beautiful. [...] What one gives up on is a childlike sense that things are exactly as they appear, and that our solid-seeming, marble-like "I" is the realest thing in the world; what one acquires is an appreciation of how tenuous we are at our cores, and how wildly different we are from what we seem to be."

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Where There’s Pattern, There’s Reason The key thought in the preceding few lines is the article of faith that this pattern cannot merely be a coincidence. A mathematician who finds a pattern of this sort will instinctively ask, “Why? What is the reason behind this order?” Not only will all mathematicians wonder what the reason is, but even more importantly, they will all implicitly believe that whether or not anyone ever finds the reason, there must be a reason for it. Nothing happens “by accident” in the world of mathematics.

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Solomon: Your entry in Wikipedia says that your work has inspired many students to begin careers in computing and artificial intelligence.
Hofstadter: I have no interest in computers. The entry is filled with inaccuracies, and it kind of depresses me.
Solomon: So fix it.
Hofstadter: The next day someone will fix it back.

I am a lifelong lover of form–content interplay, and this book is no exception. As with several of my previous books, I have had the chance to typeset it down to the finest level of detail, and my quest for visual elegance on each page has had countless repercussions on how I phrase my ideas. To some this may sound like the tail wagging the dog, but I think that attention to form improves anyone’s writing. I hope that reading this book not only is stimulating intellectually but also is a pleasant visual experience.

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Perhaps the most concise summary of enlightenment would be: transcending dualism. … Dualism is the conceptual division of the world into categories … human perception is by nature a dualistic phenomenon—which makes the quest for enlightenment an uphill struggle, to say the least.