Douglas Hofstadter Quotes

"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»

The closer one looks, the more such questions one will find, and the more they are going to seem absurd.

Such concepts, be they concrete or abstract, are selectively mobilized instant by instant, and nearly always without any awareness on our part, and it is this ceaseless activity that allows us to build up mental representations of situations we are in, to have complex feelings about them, and to have run-of-the-mill as well as more exalted thoughts. No thought can be formed that isn’t informed by the past; or, more precisely, we think only thanks to analogies that link our present to our past.

No thought can be formed that isn’t informed by the past; or, more precisely, we think only thanks to analogies that link our present to our past.

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.

What gives this zeugma its flavor of oddness is that one of the meanings of the verb “restore” that it depends on is “to return something that has been lost”, while the other meaning used is “to make something regain its former, more ideal state”, and although these two senses of the same word are clearly related, they are just as clearly not synonymous.

Where there's a pattern, there's a reason.

For Kant, analogy was the wellspring of all creativity, and Nietzsche gave a famous definition of truth as “a mobile army of metaphors”.

At the outset, there is a concrete situation with concrete components, and thus it is perceived as something unique and cleanly separable from the rest of the world. After a while, though — perhaps a day later, perhaps a year — one runs into another situation that one finds to be similar, and a link is made.

By the time we emerge from childhood, we have acquired a reflex-level intuition for where most of our everyday world’s loci of unpredictability lie, and the more unpredictable end of this spectrum simultaneously beckons to us and frightens us. We’re pulled by but fearful of risk-taking. That is the nature of life.

in order to see that what they did was “exactly the same thing”, one has to ignore almost all the details of the two situations in order to extract from them one single shared essence.

"We have seen recursion in the grammars of languages, we have seen recursive geometrical trees, which grow upwards forever, and we have seen one way in which recursion enters the theory of solid state physics. Now we are going to see yet another way in which the whole world is built out of recursion. This has to do with the structure of elementary particles: electrons, protons, neutrons, and the tiny quanta of electromagnetic radiation called "photons". We are going to see that particles are - in a certain sense which can only be defined rigorously in relativistic quantum mechanics- nested inside each other in a way which can be described recursively, perhaps even by some sort of "grammar"."

If categorization is central to thinking, then what mechanism carries it out? Analogy is the answer.

Often compound words have drifted so far from their etymological roots that native speakers can easily miss what is right in front of their eyes.

"It was a hundred years later that Einstein gave a theory (general relativity) which said that the geometry of the universe is determined by its content of matter, so that no one geometry is intrinsic to space itself. Thus to the question, "Which geometry is true?" nature gives an ambiguous answer not only in mathematics, but also in physics"