“Whew, this might be getting a bit confusing. I hope you are following me so far. This is the point in every Theory of Computation course at which students either throw up their hands and say "I can't get my mind around this stuff!" or clap their hands and say "I love this stuff!"
Needless to say, I was the second kind of student, even though I shared the confusion of the first.”
― quote from Complexity: A Guided Tour
“This statement is not provable.” Think about it for a minute. It’s a strange statement, since it talks about itself—in fact, it asserts that it is not provable. Let’s call this statement “Statement A.” Now, suppose Statement A could indeed be proved. But then it would be false (since it states that it cannot be proved). That would mean a false statement could be proved—arithmetic would be inconsistent. Okay, let’s assume the opposite, that Statement A cannot be proved. That would mean that Statement A is true (because it asserts that it cannot be proved), but then there is a true statement that cannot be proved—arithmetic would be incomplete. Ergo, arithmetic is either inconsistent or incomplete.”
― quote from Complexity: A Guided Tour
“complex system: a system in which large networks of components with no central control and simple rules of operation give rise to complex collective behavior, sophisticated information processing, and adaptation via learning or evolution.”
― quote from Complexity: A Guided Tour
“Linearity is a reductionist’s dream, and nonlinearity can sometimes be a reductionist’s nightmare. Understanding the distinction between linearity and nonlinearity is very important and worthwhile. To”
― quote from Complexity: A Guided Tour
“As the nineteenth-century philosopher Henry David Thoreau put it, “All perception of truth is the detection of an analogy.”
― quote from Complexity: A Guided Tour
“In short, what Brown, Enquist, and West are saying is that evolution structured our circulatory systems as fractal networks to approximate a “fourth dimension” so as to make our metabolisms more efficient. As West, Brown, and Enquist put it, “Although living things occupy a three-dimensional space, their internal physiology and anatomy operate as if they were four-dimensional … Fractal geometry has literally given life an added dimension.”
― quote from Complexity: A Guided Tour
“Turing’s first goal was to make very concrete this notion of definite procedure. The idea is that, given a particular problem to solve, you can construct a definite procedure for solving it by designing a Turing machine that solves it. Turing machines were put forth as the definition of “definite procedure,” hitherto a vague and ill-defined notion.”
― quote from Complexity: A Guided Tour
“idea models—models that are simple enough to study via mathematics or computers but that nonetheless capture fundamental properties of natural complex systems.”
― quote from Complexity: A Guided Tour
“Tony Rothman points out, “Why the second law should distinguish between past and future while all the other laws of nature do not is perhaps the greatest mystery in physics.”
― quote from Complexity: A Guided Tour
“Information, as narrowly defined by Shannon, concerns the predictability of a message source. In the real world, however, information is something that is analyzed for meaning, that is remembered and combined with other information, and that produces results or actions. In short, information is processed via computation.”
― quote from Complexity: A Guided Tour
“reached. In dynamical systems theory, each of these abrupt period doublings is called a bifurcation. This succession of bifurcations culminating in chaos has been called the “period doubling route”
― quote from Complexity: A Guided Tour
“Don't tie your success to anything other than what's inside you”
― Debra Anastasia, quote from Poughkeepsie
“Somehow I know that eventually we'll fall back into step, so the pain is the low hum of detachment rather than the screaming stab of the end.”
― Cat Patrick, quote from Revived
“Eis uma coisa curiosa acerca do passado: a forma como jaz à nossa espera, silencioso, invisível, quase como se ali não estivesse. Podemos ter a tentação de julgar que desapareceu, que já não existe. De repente, como um faisão espantado para fora do seu esconderijo, erguer-se-á numa explosão de som, cor e movimento: escandalosamente vivo.”
― John Verdon, quote from Think of a Number
“Like the turtle's shell, the sense of self serves as a shield against stimulation and as a burden which limits mobility into possibly dangerous areas. The turtle rarely has to think about what's on the other side of his shell; whatever it is, it can't hurt him, can't even touch him. So, too, adults insist on the shell of a consistent self for themselves and their children and appreciate turtles for friends; they wish to be protected from being hurt or touched or confused or having to think. If a man can rely on consistency, he can afford not to notice people after the first few times. But I imagined a world in which each individual might be about to play the lover, the benefactor, the sponger, the attacker, the friend: and once known as one of the next day he might yet be anything. Would we pay attention to this person? Would life be boring? Would life be livable? I saw then clearly for the first time that the fear of failure keeps us huddled in the cave of self - a group of behavior patterns we have mastered and have no intention of risking failure by abandoning.”
― Luke Rhinehart, quote from The Dice Man
“Though all men be equally frail before the world, the differences between them are terrifying.”
― R. Scott Bakker, quote from The Darkness That Comes Before
Shades of Grey
Partials
Horns
Little Bee
Magic Slays
Out of the DustBookQuoters is a community of passionate readers who enjoy sharing the most meaningful, memorable and interesting quotes from great books. As the world communicates more and more via texts, memes and sound bytes, short but profound quotes from books have become more relevant and important. For some of us a quote becomes a mantra, a goal or a philosophy by which we live. For all of us, quotes are a great way to remember a book and to carry with us the author’s best ideas.
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